[1] M\. Cicalese A\. Braides and N\.K\. Yip\.
  

**Crystalline Motion of Interfaces Between Patterns\.**
  

*Journal of Statistical Physics October 2016, Volume 165, Issue 2, pp 274–319*, October 2016\.
  

URL: [https://link\.springer\.com/article/10\.1007/s10955\-016\-1609\-6](https://link.springer.com/article/10.1007/s10955-016-1609-6)\.  
[2] S\. Sechelmann A\.I\. Bobenko, U\. Bücking\.
  

**Discrete minimal surfaces of Koebe type\.**
  

In R\. Verge\-Rebelo D\. Levi and P\. Winternitz, editors, Modern Approaches to Discrete Curvature, pages 259–291\.
Springer, 2017\.
  
  
[3] K\. Adiprasito and B\. Benedetti\.
  

**Metric geometry, convexity and collapsibility\.**
  

preprint, 2013\.
  

[arXiv:1107\.5789](https://arxiv.org/abs/1107.5789)\.  
[4] K\. Adiprasito and B\. Benedetti\.
  

**Subdivisions, shellability, and collapsibility of products\.**
  

*Combinatorica*, 2015\.
accepted, preprint at arxiv\.
  

[arXiv:1202\.6606](https://arxiv.org/abs/1202.6606)\.  
[5] K\. Adiprasito and B\. Benedetti\.
  

**Tight complexes in $3$\-space admit perfect discrete Morse functions\.**
  

*Eur\. J\. Comb\.*, 45:71–84, 2015\.
  

[arXiv:1202\.3390](https://arxiv.org/abs/1202.3390)\.  
[6] K\. Adiprasito, B\. Benedetti, and F\. H\. Lutz\.
  

**Extremal examples of collapsible complexes and random discrete Morse theory\.**
  

preprint, 2014\.
  

[arXiv:1404\.4239](https://arxiv.org/abs/1404.4239)\.  
[7] Karim Adiprasito, Philip Brinkmann, Arnau Padrol, Pavel Paták, Zuzana Patáková, and Raman Sanyal\.
  

**Colorful simplicial depth, Minkowski sums, and generalized Gale transforms\.**
  

*International Mathematics Research Notices*, 2017\.
  

[arXiv:1607\.00347](https://arxiv.org/abs/1607.00347), [doi:10\.1093/imrn/rnx184](https://doi.org/10.1093/imrn/rnx184)\.  
[8] Karim Adiprasito and Arnau Padrol\.
  

**The universality theorem for neighborly polytopes\.**
  

*Combinatorica*, February 2015\.
accepted, preprint at arxiv\.
  

[arXiv:1402\.7207](https://arxiv.org/abs/1402.7207)\.  
[9] Karim Adiprasito and Arnau Padrol\.
  

**A universality theorem for projectively unique polytopes and a conjecture of Shephard\.**
  

*Israel J\. Math\.*, 211:239–255, 2016\.
  

[arXiv:1301\.2960](https://arxiv.org/abs/1301.2960)\.  
[10] Karim Adiprasito, Arnau Padrol, and Louis Theran\.
  

**Universality theorems for inscribed polytopes and Delaunay triangulations\.**
  

*Discrete Comput\. Geom\.*, 54:412–431, 2015\.
  

[arXiv:1406\.7831](https://arxiv.org/abs/1406.7831)\.  
[11] Karim Adiprasito and Raman Sanyal\.
  

**Relative Stanley\-Reisner theory and Upper Bound Theorems for Minkowski sums\.**
  

*Publ\. Math\. Inst\. Hautes Études Sci\.*, 124:99–163, 2016\.
  

[arXiv:1405\.7368](https://arxiv.org/abs/1405.7368), [doi:10\.1007/s10240\-016\-0083\-7](https://doi.org/10.1007/s10240-016-0083-7)\.  
[12] Karim Adiprasito and Raman Sanyal\.
  

**Whitney numbers of arrangements via measure concentration of intrinsic volumes\.**
  

Preprint, 2016\.
  

[arXiv:1606\.09412](https://arxiv.org/abs/1606.09412)\.  
[13] Karim Alexander Adiprasito and Bruno Benedetti\.
  

**The Hirsch conjecture holds for normal flag complexes\.**
  

preprint, revised April 2013, March 2013\.
  

[arXiv:1303\.3598](https://arxiv.org/abs/1303.3598)\.  
[14] Niklas Affolter, Terrence George, and Sanjay Ramassamy\.
  

**Cross\-ratio dynamics and the dimer cluster integrable system\.**
  

preprint, August 2021\.
  

[arXiv:2108\.12692](https://arxiv.org/abs/2108.12692)\.  
[15] Niklas Affolter, Max Glick, Pavlo Pylyavskyy, and Sanjay Ramassamy\.
  

**Vector\-relation configurations and plabic graphs\.**
  

*Selecta Mathematica*, August 2019\.
  

URL: [https://link\.springer\.com/article/10\.1007/s00029\-023\-00898\-z](https://link.springer.com/article/10.1007/s00029-023-00898-z), [arXiv:1908\.06959](https://arxiv.org/abs/1908.06959)\.  
[16] Niklas C Affolter\.
  

**Miquel Dynamics, Clifford Lattices and the Dimer Model\.**
  

*Letters in Mathematical Physics*, August 2018\.
  

URL: [https://link\.springer\.com/article/10\.1007/s11005\-021\-01406\-0](https://link.springer.com/article/10.1007/s11005-021-01406-0), [arXiv:1808\.04227](https://arxiv.org/abs/1808.04227)\.  
[17] Niklas C Affolter\.
  

**Möbius invariant Y\-systems \(cluster structures\) for Miquel dynamics\.**
  

preprint, December 2023\.
  

[arXiv:2312\.07367](https://arxiv.org/abs/2312.07367)\.  
[18] Niklas C\. Affolter\.
  

**Discrete differential geometry and cluster algebras via TCD maps\.**
  

Dissertation, TU Berlin, March 2023\.
  

[arXiv:2305\.02212](https://arxiv.org/abs/2305.02212), [doi:10\.14279/depositonce\-17600](https://doi.org/10.14279/depositonce-17600)\.  
[19] Niklas Christoph Affolter, Béatrice de Tilière, and Paul Melotti\.
  

**The Schwarzian octahedron recurrence \(dSKP equation\) I: explicit solutions\.**
  

*Combinatoral Theory*, July 2022\.
  

URL: [https://escholarship\.org/uc/item/2jq67049](https://escholarship.org/uc/item/2jq67049), [arXiv:2208\.00239](https://arxiv.org/abs/2208.00239)\.  
[20] Niklas Christoph Affolter, Béatrice de Tilière, and Paul Melotti\.
  

**The Schwarzian octahedron recurrence \(dSKP equation\) II: geometric systems\.**
  

preprint, July 2022\.
  

[arXiv:2208\.00244](https://arxiv.org/abs/2208.00244)\.  
[21] Niklas Christoph Affolter, Felix Dellinger, Christian Müller, Denis Polly, and Nina Smeenk\.
  

**Discrete Lorentz surfaces and s\-embeddings II: maximal surfaces\.**
  

preprint, 2024\.
  

[doi:10\.48550/arXiv\.2411\.19055](https://doi.org/10.48550/arXiv.2411.19055)\.  
[22] Sergey I\. Agafonov\.
  

**Confocal conics and 4\-webs of maximal rank\.**
  

preprint, December 2019\.
  

[arXiv:1912\.01817](https://arxiv.org/abs/1912.01817)\.  
[23] Arseniy Akopyan and Alexander Bobenko\.
  

**Incircular nets and confocal conics\.**
  

*Transactions of the American Mathematical Society*, 370\(4\):2825–2854, 2018\.
  

[arXiv:1602\.04637](https://arxiv.org/abs/1602.04637), [doi:10\.1090/tran/7292](https://doi.org/10.1090/tran/7292)\.  
[24] Arseniy V\. Akopyan, Alexander I\. Bobenko, Wolfgang K\. Schief, and Jan Techter\.
  

**On mutually diagonal nets on \(confocal\) quadrics and 3\-dimensional webs\.**
  

*Discrete and Computational Geometry*, August 2020\.
  

[arXiv:1908\.00856](https://arxiv.org/abs/1908.00856), [doi:10\.1007/s00454\-020\-00240\-w](https://doi.org/10.1007/s00454-020-00240-w)\.  
[25] Roberto Alicandro, Marco Cicalese, and Marcello Ponsiglione\.
  

**Variational equivalence between Ginzburg\-Landau, $XY$ spin systems and screw dislocation energies\.**
  

*Indiana Univ\. Math\. J\.*, 60\(1\):171–208, 2011\.
  

URL: [https://www\.jstor\.org/stable/24903417?seq=1\#metadata\_info\_tab\_contents](https://www.jstor.org/stable/24903417?seq=1#metadata_info_tab_contents)\.  
[26] Roberto Alicandro, Marco Cicalese, and Matthias Ruf\.
  

**Domain formation in magnetic polymer composites: an approach via stochastic homogenization\.**
  

*Archive for Rational Mechanics and Analysis*, 218\(2\):945–984, 2015\.
  

[doi:10\.1007/s00205\-015\-0873\-y](https://doi.org/10.1007/s00205-015-0873-y)\.  
[27] Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig\.
  

**Tropicalizing the simplex algorithm\.**
  

*SIAM Journal on Discrete Mathematics*, 29\(2\):751–795, 2015\.
  

[arXiv:1308\.0454](https://arxiv.org/abs/1308.0454), [doi:10\.1137/130936464](https://doi.org/10.1137/130936464)\.  
[28] Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig\.
  

**Log\-barrier interior point methods are not strongly polynomial\.**
  

*SIAM J\. Appl\. Algebra Geom\.*, 2\(1\):140–178, 2018\.
  

[arXiv:1708\.01544](https://arxiv.org/abs/1708.01544), [doi:10\.1137/17M1142132](https://doi.org/10.1137/17M1142132)\.  
[29] Stefano Almi, Sandro Belz, Stefano Micheletti, and Simona Perotto\.
  

**A dimension\-reduction model for brittle fractures on thin shells with mesh adaptivity\.**
  

*Mathematical Models and Methods in Applied Sciences*, 31\(01\):37–81, 2021\.
  

[arXiv:2004\.08871](https://arxiv.org/abs/2004.08871), [doi:10\.1142/S0218202521500020](https://doi.org/10.1142/S0218202521500020)\.  
[30] Stefano Almi and Ilaria Lucardesi\.
  

**Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks\.**
  

*Nonlinear Differ\. Equ\. Appl\. \(2018\) 25: 43\.*, August 2018\.
  

[doi:10\.1007/s00030\-018\-0536\-4](https://doi.org/10.1007/s00030-018-0536-4)\.  
[31] Hector Andrade\-Loarca, Julius Hege, Daniel Cremers, and Gitta Kutyniok\.
  

**Neural Poisson Surface Reconstruction: Resolution\-Agnostic Shape Reconstruction from Point Clouds\.**
  

preprint, August 2023\.
  

[arXiv:arXiv:2308\.01766](https://arxiv.org/abs/arXiv:2308.01766)\.  
[32] Héctor Andrade\-Loarca, Gitta Kutyniok, Ozan Öktem, and Philipp Petersen\.
  

**Extraction of Digital Wavefront Sets using Applied Harmonic Analysis and Deep Neural Networks\.**
  

preprint, January 2019\.
  

[arXiv:1901\.01388](https://arxiv.org/abs/1901.01388)\.  
[33] Héctor Andrade\-Loarca, Gitta Kutyniok, Ozan Öktem, and Philipp Petersen\.
  

**Deep microlocal reconstruction for limited\-angle tomography\.**
  

*Applied and Computational Harmonic Analysis*, January 2022\.
  

URL: [https://www\.sciencedirect\.com/science/article/pii/S1063520321001081](https://www.sciencedirect.com/science/article/pii/S1063520321001081)\.  
[34] Oliver Junge Andres Denner and Daniel Matthes\.
  

**Computing coherent sets using the Fokker\-Planck equation\.**
  

*Journal of Computational Dynamics, 2016, Vol\. 3, Issue 2*, 2016\.
  

[doi:10\.3934/jcd\.2016008](https://doi.org/10.3934/jcd.2016008)\.  
[35] L\. Arcidiacono, M\. Engel, and C\. Kuehn\.
  

**Discretized fast\-slow systems near pitchfork singularities\.**
  

*Journal of Difference Equations and Applications, Vol\. 25, No\. 7, pp\. 1024\-1051*, August 2019\.
  

[doi:10\.1080/10236198\.2019\.1647185](https://doi.org/10.1080/10236198.2019.1647185)\.  
[36] Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz, and Thomas Rehn\.
  

**Computing convex hulls and counting integer points with $\\texttt polymake$\.**
  

*Math\. Program\. Comput\.*, 9\(1\):1–38, 2017\.
  

[arXiv:1408\.4653v2](https://arxiv.org/abs/1408.4653v2), [doi:10\.1007/s12532\-016\-0104\-z](https://doi.org/10.1007/s12532-016-0104-z)\.  
[37] Benjamin Assarf, Michael Joswig, and Julian Pfeifle\.
  

**Webs of stars or how to triangulate free sums of point configurations\.**
  

*J\. Combin\. Theory Ser\. A*, 159:183–214, 2018\.
  

[arXiv:1512\.08411](https://arxiv.org/abs/1512.08411), [doi:10\.1016/j\.jcta\.2018\.05\.007](https://doi.org/10.1016/j.jcta.2018.05.007)\.  
[38] Dror Atariah\.
  

**Parameterizations in the Configuration Space and Approximations of Related Surfaces\.**
  

Dissertation, Freie Universität Berlin, 2014\.
  

URL: [http://www\.diss\.fu\-berlin\.de/diss/receive/FUDISS\_thesis\_000000096803](http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000096803)\.  
[39] Dror Atariah, Günter Rote, and Mathijs Wintraecken\.
  

**Optimal Triangulation of saddle surfaces\.**
  

*Beiträge zur Algebra und Geometrie*, 59\(1\):113–126, 2018\.
  

[arXiv:1511\.01361](https://arxiv.org/abs/1511.01361), [doi:10\.1007/s13366\-017\-0351\-9](https://doi.org/10.1007/s13366-017-0351-9)\.  
[40] Dominique Attali, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier\.
  

**Homological reconstruction and simplification in $\\mathbb R^3$\.**
  

*Computational Geometry*, 48\(8\):606–621, September 2015\.
  

[doi:10\.1016/j\.comgeo\.2014\.08\.010](https://doi.org/10.1016/j.comgeo.2014.08.010)\.  
[41] Yuen Au Yeung\.
  

**Crystalline Order, Surface Energy Densities and Wulff Shapes: Emergence from Atomistic Models\.**
  

Dissertation, Technische Universität München, München, 2013\.
  

URL: [http://mediatum\.ub\.tum\.de/node?id=1142127](http://mediatum.ub.tum.de/node?id=1142127)\.  
[42] C\. Wagner B\. Violet and E\. Eremenko\.
  

**Math Creation\- A Math\-Art Competition\.**
  

In David Swart, Carlo H\. Séquin, and Kristóf Fenyvesi, editors, Proceedings of Bridges 2017, 355–358\. Phoenix, Arizona, 2018\. Tessellations Publishing\.
  

URL: [https://archive\.bridgesmathart\.org/2017/bridges2017\-355\.pdf](https://archive.bridgesmathart.org/2017/bridges2017-355.pdf)\.  
[43] A\. Bach, M\. Cicalese, and M\. Ruf\.
  

**Random finite\-difference discretizations of the Ambrosio\-Tortorelli functional with optimal mesh size\.**
  

preprint, February 2019\.
  

[arXiv:1902\.08437](https://arxiv.org/abs/1902.08437)\.  
[44] Spencer Backman, Sebastian Manecke, and Raman Sanyal\.
  

**Cone valuations, Gram's relation, and flag\-angles\.**
  

Preprint, September 2018\.
  

[arXiv:1809\.00956](https://arxiv.org/abs/1809.00956)\.  
[45] Rufat Badal, Marco Cicalese, Lucia De Luca, and Marcello Ponsiglione\.
  

**Γ\-Convergence Analysis of a Generalized $XY$ Model: Fractional Vortices and String Defects\.**
  

*Communications in Mathematical Physics*, 358\(2\):705–739, March 2018\.
  

[doi:10\.1007/s00220\-017\-3026\-3](https://doi.org/10.1007/s00220-017-3026-3)\.  
[46] Changyeob Baek, Andrew O\. Sageman\-Furnas, Mohammad K\. Jawed, and Pedro M\. Reis\.
  

**Form finding in elastic gridshells\.**
  

*Proceedings of the National Academy of Sciences*, 115\(1\):75–80, 2018\.
  

URL: [https://www\.pnas\.org/content/115/1/75](https://www.pnas.org/content/115/1/75), [doi:10\.1073/pnas\.1713841115](https://doi.org/10.1073/pnas.1713841115)\.  
[47] Djordje Baralić, Pavle V\. M\. Blagojević, Roman Karasev, and Aleksandar Vučić\.
  

**Index of Grassmann manifolds and orthogonal shadows\.**
  

*Forum Mathematicum*, 30\(6\):1539–1572, July 2018\.
  

[doi:10\.1007/s00454\-018\-0006\-0](https://doi.org/10.1007/s00454-018-0006-0)\.  
[48] Ulrich Bauer\.
  

**Ripser: efficient computation of Vietoris\-Rips persistence barcodes\.**
  

preprint, August 2019\.
  

[arXiv:1908\.02518](https://arxiv.org/abs/1908.02518)\.  
[49] Ulrich Bauer, Magnus B\. Botnan, Steffen Oppermann, and Johan Steen\.
  

**Cotorsion torsion triples and the representation theory of filtered hierarchical clustering\.**
  

preprint, April 2019\.
  

[arXiv:1904\.07322](https://arxiv.org/abs/1904.07322)\.  
[50] Ulrich Bauer and Herbert Edelsbrunner\.
  

**The Morse Theory of Cech and Delaunay Filtrations\.**
  

In Proceedings of the Thirtieth Annual Symposium on Computational Geometry, SOCG'14\. New York, NY, USA, 2014\. ACM\.
  

[doi:10\.1145/2582112\.2582167](https://doi.org/10.1145/2582112.2582167)\.  
[51] Ulrich Bauer and Herbert Edelsbrunner\.
  

**The Morse theory of Čech and Delaunay complexes\.**
  

*Transactions of the American Mathematical Society*, 369\(5\):3741–3762, 2017\.
  

[arXiv:1312\.1231](https://arxiv.org/abs/1312.1231), [doi:10\.1090/tran/6991](https://doi.org/10.1090/tran/6991)\.  
[52] Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, and Marian Mrozek\.
  

**Persistence in sampled dynamical systems faster\.**
  

Preprint, September 2017\.
  

[arXiv:1709\.04068](https://arxiv.org/abs/1709.04068)\.  
[53] Ulrich Bauer, Michael Kerber, Jan Reininghaus, and Hubert Wagner\.
  

**Phat\-persistent homology algorithms toolbox\.**
  

*J\. Symbolic Comput\.*, 78:76–90, 2017\.
  

URL: [http://bitbucket\.org/phat\-code/](http://bitbucket.org/phat-code/), [doi:10\.1016/j\.jsc\.2016\.03\.008](https://doi.org/10.1016/j.jsc.2016.03.008)\.  
[54] Ulrich Bauer, Claudia Landi, and Facundo Memoli\.
  

**The Reeb Graph Edit Distance is Universal\.**
  

*preprint*, January 2018\.
  

[arXiv:1801\.01866](https://arxiv.org/abs/1801.01866)\.  
[55] Ulrich Bauer and Michael Lesnick\.
  

**Induced matchings and the algebraic stability of persistence barcodes\.**
  

*Journal of Computational Geometry*, 6\(2\):162–191, 2015\.
  

URL: [http://jocg\.org/index\.php/jocg/article/view/205](http://jocg.org/index.php/jocg/article/view/205)\.  
[56] Ulrich Bauer and Michael Lesnick\.
  

**Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem\.**
  

Preprint, November 2016\.
  

[arXiv:1610\.10085](https://arxiv.org/abs/1610.10085)\.  
[57] Ulrich Bauer and Florian Pausinger\.
  

**Persistent Betti numbers of random Čech complexes\.**
  

*preprint*, January 2018\.
  

[arXiv:1801\.08376](https://arxiv.org/abs/1801.08376)\.  
[58] Ulrich Bauer, Konrad Polthier, and Max Wardetzky\.
  

**Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines\.**
  

*Discrete and Computational Geometry*, 43\(4\):798–823, 2010\.
  

URL: [http://www\.springerlink\.com/content/84210067816n0m78/](http://www.springerlink.com/content/84210067816n0m78/), [arXiv:0901\.2822](https://arxiv.org/abs/0901.2822)\.  
[59] Ulrich Bauer and Abhishek Rathod\.
  

**Hardness of Approximation for Morse Matching\.**
  

In Proceedings of the Thirtieth Annual ACM\-SIAM Symposium on Discrete Algorithms, 2663–2674\. SIAM, Philadelphia, PA, 2019\.
  

[arXiv:1801\.08380](https://arxiv.org/abs/1801.08380), [doi:10\.1137/1\.9781611975482\.165](https://doi.org/10.1137/1.9781611975482.165)\.  
[60] Andrey K\. Belyaev, Caroline Lasser, and Giulio Trigila\.
  

**Landau–Zener type surface hopping algorithms\.**
  

*The Journal of Chemical Physics*, 140\(22\):–, June 2014\.
  

[arXiv:1403\.4859](https://arxiv.org/abs/1403.4859), [doi:10\.1063/1\.4882073](https://doi.org/10.1063/1.4882073)\.  
[61] B\. Benedetti\.
  

**Smoothing discrete Morse theory\.**
  

*Annali Sc\. Norm\. Sup\. Cl\. Sci\.*, 2015\.
accepted, preprint at arxiv\.
  

[arXiv:1212\.0885](https://arxiv.org/abs/1212.0885)\.  
[62] B\. Benedetti and F\. H\. Lutz\.
  

**Random discrete Morse theory and a new library of triangulations\.**
  

*Experimental Mathematics*, 23\(1\):66–94, 2014\.
  

[arXiv:1303\.6422](https://arxiv.org/abs/1303.6422)\.  
[63] Bruno Benedetti and Frank H\. Lutz\.
  

**Knots in Collapsible and Non\-Collapsible Balls\.**
  

*Electronic Journal of Combinatorics*, August 2013\.
Paper P31, 29 pages\.
  

URL: [http://www\.combinatorics\.org/ojs/index\.php/eljc/article/view/v20i3p31](http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i3p31), [arXiv:1303\.2070](https://arxiv.org/abs/1303.2070)\.  
[64] Ayush Bhandari, Felix Krahmer, and Ramesh Raskar\.
  

**On Unlimited Sampling and Reconstruction\.**
  

Preprint, 2019\.
  

[arXiv:1905\.03901](https://arxiv.org/abs/1905.03901)\.  
[65] R\.F\. Bikbaev, A\.I\. Bobenko, and A\.R\. Its\.
  

**Landau\-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions\.**
  

*Theoretical and Mathematical Physics*, 178\(2\):143–193, February 2014\.
  

[doi:10\.1007/s11232\-014\-0135\-4](https://doi.org/10.1007/s11232-014-0135-4)\.  
[66] Havard Bakke Bjerkevik and Magnus Bakke Botnan\.
  

**Computational Complexity of the Interleaving Distance\.**
  

*Proceedings of the 34th International Symposium on Computational Geometry \(SoCG 2018\)*, May 2018\.
  

[doi:10\.4230/LIPIcs\.SoCG\.2018\.13](https://doi.org/10.4230/LIPIcs.SoCG.2018.13)\.  
[67] Håvard Bakke Bjerkevik, Magnus Bakke Botnan, and Michael Kerber\.
  

**Computing the interleaving distance is NP\-hard\.**
  

preprint, 2018\.
  

[arXiv:1811\.09165](https://arxiv.org/abs/1811.09165)\.  
[68] Pavle V\. M\. Blagojevic, Florian Frick, Albert Haase, and Günter M\. Ziegler\.
  

**Hyperplane mass partitions via relative Equivariant Obstruction Theory\.**
  

preprint, September 2015\.
  

[arXiv:1509\.02959](https://arxiv.org/abs/1509.02959)\.  
[69] Pavle V\. M\. Blagojevic, Florian Frick, Benjamin Matschke, and Günter M\. Ziegler\.
  

**Tight and non\-tight topological Tverberg type theorems\.**
  

*Oberwolfach Reports*, 11\(3\):2284–2287, 2014\.
  

[dgd:67](https://www.discretization.de/publications/file/67)\.  
[70] Pavle V\. M\. Blagojevic, Florian Frick, and Günter M\. Ziegler\.
  

**Tverberg plus constraints\.**
  

*Bulletin of the London Mathematical Society*, 46:953–967, 2014\.
Extended Abstract: Oberwolfach Reports, 11\(1\):14\-16, 2014\.
  

URL: [http://blms\.oxfordjournals\.org/cgi/content/abstract/bdu049?ijkey=s0zAd5sXaMm0aIt](http://blms.oxfordjournals.org/cgi/content/abstract/bdu049?ijkey=s0zAd5sXaMm0aIt), [arXiv:1401\.0690](https://arxiv.org/abs/1401.0690), [doi:10\.1112/blms/bdu049](https://doi.org/10.1112/blms/bdu049)\.  
[71] Pavle V\. M\. Blagojevic, Wolfgang Lück, and Günter M\. Ziegler\.
  

**On highly regular embeddings\.**
  

Preprint, 19 pages; Transactions Amer\. Math\. Soc\. to appear, Extended Abstract: in Proc\. "Combinatorial Methods in Topology and Algebra” \(CoMeTa\), Cortona, May 2013\.
  

[arXiv:1305\.7483](https://arxiv.org/abs/1305.7483), [dgd:65](https://www.discretization.de/publications/file/65)\.  
[72] Pavle V\. M\. Blagojević, Aleksandra S\. Dimitrijević Blagojević, and Günter M\. Ziegler\.
  

**The topological transversal Tverberg theorem plus constraints\.**
  

Preprint, "Discrete and Intuitive Geometry – László Fejes Tóth 100 Festschrift" \(G\. Ambrus, I\. Bárány, K\. J\. Böröczky, G\. Fejes Tóth, J\. Pach, eds\.\), Bolyai Society Mathematical Studies series, to appear, march 2016\.
  

[arXiv:1604\.02814](https://arxiv.org/abs/1604.02814)\.  
[73] Pavle V\. M\. Blagojević, Aleksandra S\. Dimitrijević Blagojević, and Günter M\. Ziegler\.
  

**Polynomial partitioning for several sets of varieties\.**
  

*J\. Fixed Point Theory Appl\.*, 19:1653–1660, 2017\.
  

[arXiv:1601\.01629](https://arxiv.org/abs/1601.01629)\.  
[74] Pavle V\. M\. Blagojević, Florian Frick, Albert Haase, and Günter M\. Ziegler\.
  

**Hyperplane mass partitions via relative equivariant obstruction theory\.**
  

*Documenta Mathematica*, 21:735–771, 2016\.
  

URL: [http://emis\.ams\.org/journals/DMJDMV/vol\-21/20\.pdf](http://emis.ams.org/journals/DMJDMV/vol-21/20.pdf), [arXiv:1509\.02959](https://arxiv.org/abs/1509.02959)\.  
[75] Pavle V\. M\. Blagojević, Albert Haase, and Günter M\. Ziegler\.
  

**Tverberg\-type theorems for matroids: A counterexample and a proof\.**
  

Preprint, 2017\.
  

[arXiv:1705\.03624](https://arxiv.org/abs/1705.03624)\.  
[76] Pavle V\. M\. Blagojević, Albert Haase, and Günter M\. Ziegler\.
  

**Tverberg\-Type Theorems for Matroids: A Counterexample and a Proof\.**
  

*Combinatorica*, February 2019\.
  

[doi:10\.1007/s00493\-018\-3846\-6](https://doi.org/10.1007/s00493-018-3846-6)\.  
[77] Pavle V\. M\. Blagojević, Nevena Palić, and Günter M\. Ziegler\.
  

**Cutting a part from many measures\.**
  

Preprint, 15 pages, October 2017\.
  

[arXiv:1710\.05118](https://arxiv.org/abs/1710.05118)\.  
[78] Pavle V\. M\. Blagojević, Günter Rote, Johanna Steinmeyer, and Günter M\. Ziegler\.
  

**Convex equipartitions of colored point sets\.**
  

*Discrete Comput\. Geometry*, December 2017\.
Published online\.
  

[arXiv:1705\.03953](https://arxiv.org/abs/1705.03953)\.  
[79] Pavle V\. M\. Blagojević, Günter Rote, Johanna K\. Steinmeyer, and Günter M\. Ziegler\.
  

**Convex Equipartitions of Colored Point Sets\.**
  

*Discrete & Computational Geometry*, 61\(2\):355–363, March 2019\.
  

[doi:10\.1007/s00454\-017\-9959\-7](https://doi.org/10.1007/s00454-017-9959-7)\.  
[80] Pavle V\. M\. Blagojević and Pablo Soberón\.
  

**Thieves can make sandwiches\.**
  

preprint, September 2017\.
  

[arXiv:arXiv:1706\.03640](https://arxiv.org/abs/arXiv:1706.03640), [doi:10\.1112/blms\.12109](https://doi.org/10.1112/blms.12109)\.  
[81] Pavle V\. M\. Blagojević and Günter M\. Ziegler\.
  

**Beyond the Borsuk\-Ulam Theorem: The Topological Tverberg Story\.**
  

In Martin Loebl, Jaroslav Nešetřil, and Robin Thomas, editors, Journey Through Discrete Mathematics\. A Tribute to Jiří Matoušek, pages 273–341\.
Springer, May 2017\.
  

[arXiv:1605\.07321](https://arxiv.org/abs/1605.07321), [doi:10\.1007/978\-3\-319\-44479\-6\_11](https://doi.org/10.1007/978-3-319-44479-6_11)\.  
[82] A\. Bobenko, T\. Hoffmann, and B\. Springborn\.
  

**Minimal surfaces from circle patterns: Geometry from combinatorics\.**
  

*Ann\. of Math\.*, 164\(1\):231–264, 2006\.
  

[arXiv:0305184](https://arxiv.org/abs/0305184)\.  
[83] A\. Bobenko and U\. Pinkall\.
  

**Discretization of surfaces and integrable systems\.**
  

In Discrete integrable geometry and physics, volume 16 of Oxford Lecture Ser\. Math\. Appl\., pages 3–58\.
Oxford Univ\. Press, 1999\.
  

URL: [http://page\.math\.tu\-berlin\.de/~bobenko/papers/1999\_Bob\_Pin\.pdf](http://page.math.tu-berlin.de/~bobenko/papers/1999_Bob_Pin.pdf)\.  
[84] A\. I\. Bobenko, N\. Dimitrov, and S\. Sechelmann\.
  

**Discrete uniformization of finite branched covers over the Riemann sphere via hyper\-ideal circle patterns\.**
  

preprint, 2015\.
  

[arXiv:1510\.04053](https://arxiv.org/abs/1510.04053)\.  
[85] A\. I\. Bobenko and F\. Günther\.
  

**Discrete complex analysis on planar quad\-graphs\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[arXiv:1505\.05673](https://arxiv.org/abs/1505.05673)\.  
[86] A\. I\. Bobenko and T\. Hoffmann\.
  

**S\-conical cmc surfaces\. Towards a unified theory of discrete surfaces with constant mean curvature\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[doi:10\.1007/978\-3\-662\-50447\-5\_9](https://doi.org/10.1007/978-3-662-50447-5_9), [dgd:198](https://www.discretization.de/publications/file/198)\.  
[87] A\. I\. Bobenko, T\. Hoffmann, B\. König, and S\. Sechelmann\.
  

**S\-conical minimal surfaces\. Towards a unified theory of discrete minimal surfaces\.**
  

Preprint, 2015\.
  

[dgd:199](https://www.discretization.de/publications/file/199)\.  
[88] A\. I\. Bobenko and A\. Its\.
  

**The asymptotic behaviour of the discrete holomorphic map $Z^a$ via the Riemann\-Hilbert method\.**
  

*Duke Math\. J\.*, 2015\.
accepted\.
  

[arXiv:1409\.2667](https://arxiv.org/abs/1409.2667)\.  
[89] A\. I\. Bobenko, U\. Pinkall, and B\. Springborn\.
  

**Discrete conformal maps and ideal hyperbolic polyhedra\.**
  

*Geom\. Topol\.*, 19:2155–2215, 2015\.
  

[arXiv:1005\.2698](https://arxiv.org/abs/1005.2698), [doi:10\.2140/gt\.2015\.19\.2155](https://doi.org/10.2140/gt.2015.19.2155)\.  
[90] A\. I\. Bobenko and W\. Schief\.
  

**Discrete line complexes and integrable evolution of minors\.**
  

*Proc\. Royal Soc\. A*, 471\(2175\):23 pp\., 2015\.
  

[arXiv:1410\.5794](https://arxiv.org/abs/1410.5794), [doi:10\.1098/rspa\.2014\.0819](https://doi.org/10.1098/rspa.2014.0819)\.  
[91] A\. I\. Bobenko, S\. Sechelmann, and B\. Springborn\.
  

**Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[dgd:194](https://www.discretization.de/publications/file/194)\.  
[92] A\. I\. Bobenko and Yu\. B\. Suris\.
  

**Discrete pluriharmonic functions as solutions of linear pluri\-Lagrangian systems\.**
  

*Commun\. Math\. Phys\.*, 336\(1\):199–215, 2015\.
  

[arXiv:1403\.2876](https://arxiv.org/abs/1403.2876)\.  
[93] A\.I\. Bobenko and B\. Springborn\.
  

**Diskretisierung in Geometrie und Dynamik \- Elastische Stäbe und Rauchringe\.**
  

*Mitteilungen der DMV*, 21\(1\):218–224, December 2013\.
  

URL: [http://www\.degruyter\.com/view/j/dmvm\.2013\.21\.issue\-00004/issue\-files/dmvm\.2013\.21\.issue\-00004\.xml](http://www.degruyter.com/view/j/dmvm.2013.21.issue-00004/issue-files/dmvm.2013.21.issue-00004.xml)\.  
[94] Alexander Bobenko and Mikhail Skopenkov\.
  

**Discrete Riemann surfaces: linear discretization and its convergence\.**
  

*J\. reine und angew\. Math\.*, October 2014\.
  

[arXiv:1210\.0561](https://arxiv.org/abs/1210.0561), [doi:10\.1515/crelle\-2014\-0065](https://doi.org/10.1515/crelle-2014-0065)\.  
[95] Alexander Bobenko and Yuri Suris\.
  

**Integrable linear systems on quad\-graphs\.**
  

preprint, 2019\.
  

[arXiv:1911\.03252](https://arxiv.org/abs/1911.03252)\.  
[96] Alexander I Bobenko and Ulrike Bücking\.
  

**Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere\.**
  

*Preprint at arXiv*, September 2018\.
  

[arXiv:1809\.04847](https://arxiv.org/abs/1809.04847)\.  
[97] Alexander I Bobenko, Nikolay Dimitrov, and Stefan Sechelmann\.
  

**Discrete Uniformization of Polyhedral Surfaces with Non\-positive Curvature and Branched Covers over the Sphere via Hyper\-ideal Circle Patterns\.**
  

*Discrete & Computational Geometry*, 57\(2\):431–469, 2017\.
  

[arXiv:1510\.04053](https://arxiv.org/abs/1510.04053)\.  
[98] Alexander I Bobenko and Felix Günther\.
  

**Discrete Riemann surfaces based on quadrilateral cellular decompositions\.**
  

*Advances in Mathematics*, 311:885–932, 2017\.
  

[arXiv:1511\.00652](https://arxiv.org/abs/1511.00652), [doi:10\.1016/j\.aim\.2017\.03\.010](https://doi.org/10.1016/j.aim.2017.03.010)\.  
[99] Alexander I Bobenko, Sebastian Heller, and Nicholas Schmitt\.
  

**Minimal n\-Noids in hyperbolic and anti\-de Sitter 3\-space\.**
  

*Proceedings A of Royal Society*, July 2019\.
  

[arXiv:1902\.07992](https://arxiv.org/abs/1902.07992), [doi:10\.1098/rspa\.2019\.0173](https://doi.org/10.1098/rspa.2019.0173)\.  
[100] Alexander I Bobenko, Emanuel Huhnen\-Venedey, and Thilo Rörig\.
  

**Supercyclidic nets\.**
  

*International Mathematics Research Notices*, 2017\(2\):323–371, February 2017\.
  

[arXiv:1412\.7422](https://arxiv.org/abs/1412.7422), [doi:10\.1093/imrn/rnv328](https://doi.org/10.1093/imrn/rnv328)\.  
[101] Alexander I Bobenko, Helmut Pottmann, and Thilo Rörig\.
  

**Multi\-Nets\. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles\.**
  

*Discrete Comput\. Geom\.*, May 2019\.
  

[arXiv:1802\.05063](https://arxiv.org/abs/1802.05063), [doi:10\.1007/s00454\-019\-00101\-1](https://doi.org/10.1007/s00454-019-00101-1)\.  
[102] Alexander I Bobenko and Wolfgang K Schief\.
  

**Circle complexes and the discrete CKP equation\.**
  

*International Mathematics Research Notices*, 2017\(5\):1504–1561, 2016\.
  

[arXiv:1509\.04109](https://arxiv.org/abs/1509.04109), [doi:10\.1093/imrn/rnw021](https://doi.org/10.1093/imrn/rnw021)\.  
[103] Alexander I Bobenko, Wolfgang K Schief, Yuri B Suris, and Jan Techter\.
  

**On a Discretization of Confocal Quadrics\. A Geometric Approach to General Parametrizations\.**
  

*International Mathematics Research Notices*, December 2018\.
  

[arXiv:1708\.06800](https://arxiv.org/abs/1708.06800), [doi:10\.1093/imrn/rny279](https://doi.org/10.1093/imrn/rny279)\.  
[104] Alexander I Bobenko and Ananth Sridhar\.
  

**Abelian Higgs vortices and discrete conformal maps\.**
  

*Letters in Mathematical Physics*, 108\(2\):249–260, 2018\.
  

[arXiv:1703\.04735](https://arxiv.org/abs/1703.04735), [doi:10\.1007/s11005\-017\-1004\-5](https://doi.org/10.1007/s11005-017-1004-5)\.  
[105] Alexander I\. Bobenko and Alexander Y\. Fairley\.
  

**Nets of lines with the combinatorics of the square grid and with touching inscribed conics\.**
  

*Discrete and Comp\. Geometry*, 2021\.
  

[arXiv:1911\.08477](https://arxiv.org/abs/1911.08477), [doi:10\.1007/s00454\-021\-00277\-5](https://doi.org/10.1007/s00454-021-00277-5)\.  
[106] Alexander I\. Bobenko and Alexander Y\. Fairley\.
  

**Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences\.**
  

preprint, December 2023\.
  

[arXiv:2312\.04341](https://arxiv.org/abs/2312.04341)\.  
[107] Alexander I\. Bobenko and Felix Günther\.
  

**On Discrete Integrable Equations with Convex Variational Principles\.**
  

*Letters in Mathematical Physics*, 102\(2\):181–202, September 2012\.
  

[arXiv:1111\.6273](https://arxiv.org/abs/1111.6273), [doi:10\.1007/s11005\-012\-0583\-4](https://doi.org/10.1007/s11005-012-0583-4)\.  
[108] Alexander I\. Bobenko and Felix Günther\.
  

**Discrete complex analysis – the medial graph approach\.**
  

*Actes des rencontres du CIRM 3 no\. 1: Courbure discrète: théorie et applications*, pages 159–169, 2013\.
  

URL: [http://acirm\.cedram\.org/acirm\-bin/fitem?id=ACIRM\_2013\_\_3\_1\_159\_0](http://acirm.cedram.org/acirm-bin/fitem?id=ACIRM_2013__3_1_159_0), [doi:10\.5802/acirm\.65](https://doi.org/10.5802/acirm.65)\.  
[109] Alexander I\. Bobenko, Udo Hertrich\-Jeromin, and Inna Lukyanenko\.
  

**Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality\.**
  

*Discrete and Computational Geometry*, 52\(4\):612–629, 2014\.
  

[arXiv:1409\.2001](https://arxiv.org/abs/1409.2001), [doi:10\.1007/s00454\-014\-9622\-5](https://doi.org/10.1007/s00454-014-9622-5)\.  
[110] Alexander I\. Bobenko, Tim Hoffmann, and Thilo Rörig\.
  

**Orthogonal ring patterns in the plane\.**
  

*Geometriae Dedicata*, 2023\.
  

[arXiv:1911\.07095](https://arxiv.org/abs/1911.07095), [doi:10\.1007/s10711\-023\-00859\-y](https://doi.org/10.1007/s10711-023-00859-y)\.  
[111] Alexander I\. Bobenko, Tim Hoffmann, and Andrew O\. Sageman\-Furnas\.
  

**Compact Bonnet Pairs: isometric tori with the same curvatures\.**
  

preprint, October 2021\.
  

[arXiv:2110\.06335](https://arxiv.org/abs/2110.06335)\.  
[112] Alexander I\. Bobenko, Tim Hoffmann, and Andrew O\. Sageman\-Furnas\.
  

**Isothermic tori with one family of planar curvature lines and area constrained hyperbolic elastica\.**
  

preprint, 2024\.
  

[arXiv:2312\.14956](https://arxiv.org/abs/2312.14956)\.  
[113] Alexander I\. Bobenko, Tim Hoffmann, and Nina Smeenk\.
  

**Constant mean curvature surfaces from ring patterns: Geometry from combinatorics\.**
  

preprint, 2024\.
  

[arXiv:2410\.08915](https://arxiv.org/abs/2410.08915), [doi:10\.48550/arXiv\.2410\.08915](https://doi.org/10.48550/arXiv.2410.08915)\.  
[114] Alexander I\. Bobenko and Carl O\. R\. Lutz\.
  

**Decorated discrete conformal equivalence in non\-Euclidean geometries\.**
  

preprint, October 2023\.
  

[arXiv:2310\.17529](https://arxiv.org/abs/2310.17529)\.  
[115] Alexander I\. Bobenko and Carl O\. R\. Lutz\.
  

**Decorated discrete conformal maps and convex polyhedral cusps\.**
  

preprint, May 2023\.
  

[arXiv:2305\.10988](https://arxiv.org/abs/2305.10988)\.  
[116] Alexander I\. Bobenko, Carl O\. R\. Lutz, Helmut Pottmann, and Jan Techter\.
  

**Non\-Euclidean Laguerre geometry and in circular nets\.**
SpringerBriefs\.
  

Springer, 2021\.
  

[arXiv:2009\.00978](https://arxiv.org/abs/2009.00978), [doi:10\.1007/978\-3\-030\-81847\-0](https://doi.org/10.1007/978-3-030-81847-0)\.  
[117] Alexander I\. Bobenko and Pascal Romon\.
  

**Discrete CMC surfaces in $R^3$ and discrete minimal surfaces in $S^3$: a discrete Lawson correspondence\.**
  

*Journal of Integrable Systems*, 2\(1\):1–18, May 2017\.
  

[arXiv:1705\.01053](https://arxiv.org/abs/1705.01053), [doi:10\.1093/integr/xyx010](https://doi.org/10.1093/integr/xyx010)\.  
[118] Alexander I\. Bobenko, Wolfgang K\. Schief, Yuri B\. Suris, and Jan Techter\.
  

**On a discretization of confocal quadrics\. I\. An integrable systems approach\.**
  

*Journal of Integrable Systems*, 1\(1\):xyw005, 2016\.
  

[arXiv:1511\.01777](https://arxiv.org/abs/1511.01777), [doi:10\.1093/integr/xyw005](https://doi.org/10.1093/integr/xyw005)\.  
[119] Alexander I\. Bobenko, Wolfgang K\. Schief, and Jan Techter\.
  

**Checkerboard incircular nets: Laguerre geometry and parametrisation\.**
  

*Geometriae Dedicata*, April 2019\.
  

[arXiv:1808\.07254](https://arxiv.org/abs/1808.07254), [doi:10\.1007/s10711\-019\-00449\-x](https://doi.org/10.1007/s10711-019-00449-x)\.  
[120] Alexander I\. Bobenko and Boris A\. Springborn\.
  

**A discrete Laplace\-Beltrami operator for simplicial surfaces\.**
  

*Discrete Comput\. Geom\.*, 38\(4\):740–756, 2007\.
  

[arXiv:math/0503219](https://arxiv.org/abs/math/0503219), [doi:10\.1007/s00454\-007\-9006\-1](https://doi.org/10.1007/s00454-007-9006-1)\.  
[121] B\. Bodmann, A\. Flinth, and G\. Kutyniok\.
  

**Compressed Sensing for Analog Signals\.**
  

preprint, March 2018\.
  

[arXiv:1803\.04218](https://arxiv.org/abs/1803.04218)\.  
[122] B\. G\. Bodmann, P\. G\. Casazza, and G\. Kutyniok\.
  

**A Quantitative Notion of Redundancy for Finite Frames\.**
  

*Appl\. Comput\. Harmon\. Anal\.*, 30:348–362, 2011\.
  

[arXiv:0910\.5904](https://arxiv.org/abs/0910.5904)\.  
[123] B\. G\. Bodmann, G\. Kutyniok, and X\. Zhuang\.
  

**Coarse Quantization with the Fast Digital Shearlet Transform\.**
  

In Wavelets and Sparsity XIV \(San Diego, CA, 2011\), SPIE Proc\., volume 8138, 8138OZ–1 – 8138OZ–10\. SPIE, Bellingham, WA, 2011\.
  

[doi:10\.1117/12\.892720](https://doi.org/10.1117/12.892720)\.  
[124] Bernhard G\. Bodmann, Gitta Kutyniok, and Xiaosheng Zhuang\.
  

**Gabor Shearlets\.**
  

*Appl\. Comput\. Harmon\. Anal\.*, March 2013\.
submitted\.
  

URL: [http://www\.math\.tu\-berlin\.de/fileadmin/i26\_fg\-kutyniok/Kutyniok/Papers/GaborShearlets\.pdf](http://www.math.tu-berlin.de/fileadmin/i26_fg-kutyniok/Kutyniok/Papers/GaborShearlets.pdf), [arXiv:1303\.6556](https://arxiv.org/abs/1303.6556)\.  
[125] R\. Boll\.
  

**Two\-dimensional variational systems on the root lattice $Q\(A\_N\)$\.**
  

preprint, 2016\.
  

[arXiv:1601\.05296](https://arxiv.org/abs/1601.05296)\.  
[126] R\. Boll, M\. Petrera, and Yu\. B\. Suris\.
  

**Multi\-time Lagrangian 1\-forms for families of Bäcklund transformations\. Relativistic Toda\-type systems\.**
  

*J\. Phys\. A: Math\. Theor\.*, 46\(27\):275024, 26 pp\., 2013\.
  

[arXiv:1408\.2405](https://arxiv.org/abs/1408.2405), [doi:10\.1088/1751\-8113/46/27/275204](https://doi.org/10.1088/1751-8113/46/27/275204)\.  
[127] R\. Boll, M\. Petrera, and Yu\. B\. Suris\.
  

**On integrability of discrete variational systems: Octahedron relations\.**
  

*Internat\. Math\. Res\. Notes*, 2015:rnv140, 24 pp\., 2015\.
  

[arXiv:1406\.0741](https://arxiv.org/abs/1406.0741)\.  
[128] R\. Boll, M\. Petrera, and Yu\. B\.\. Suris\.
  

**On the variational interpretation of the discrete KP equation\.**
  

In A\.I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, Berlin\-Heidelberg\-New York, 2016\.
  

[arXiv:1506\.00729](https://arxiv.org/abs/1506.00729)\.  
[129] Raphael Boll\.
  

**On Bianchi permutability of Bäcklund transformations for asymmetric quad\-equations\.**
  

*Journal of Nonlinear Mathematical Physics*, 20\(4\):577–605, December 2013\.
  

[arXiv:1211\.4374](https://arxiv.org/abs/1211.4374), [doi:10\.1080/14029251\.2013\.865829](https://doi.org/10.1080/14029251.2013.865829)\.  
[130] Raphael Boll, Matteo Petrera, and Yuri B\. Suris\.
  

**What is integrability of discrete variational systems?**
  

*Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science*, February 2014\.
  

URL: [http://rspa\.royalsocietypublishing\.org/content/470/2162/20130550\.abstract](http://rspa.royalsocietypublishing.org/content/470/2162/20130550.abstract), [arXiv:1307\.0523](https://arxiv.org/abs/1307.0523), [doi:10\.1098/rspa\.2013\.0550](https://doi.org/10.1098/rspa.2013.0550)\.  
[131] Mauro Bonafini, Massimo Fornasier, and Bernhard Schmitzer\.
  

**Data\-driven entropic spatially inhomogeneous evolutionary games\.**
  

preprint, March 2021\.
  

[arXiv:2103\.05429](https://arxiv.org/abs/2103.05429)\.  
[132] Ciprian S\. Borcea and Ileana Streinu\.
  

**Kinematics of Expansive Planar Periodic Mechanisms\.**
  

*Advances in Robot Kinematics \(ARK'14\)*, July 2014\.
preprint\.
  

[dgd:53](https://www.discretization.de/publications/file/53)\.  
[133] Ciprian S\. Borcea and Ileana Streinu\.
  

**Liftings and stresses for planar periodic frameworks\.**
  

*in Proc\. 30th Symposium on Computational Geometry \(SoCG'14\)*, June 2014\.
preprint\.
  

[dgd:54](https://www.discretization.de/publications/file/54)\.  
[134] Stefan Born, Ulrike Bücking, and Boris Springborn\.
  

**Quasiconformal Dilatation of Projective Transformations and Discrete Conformal Maps\.**
  

*Discrete & Computational Geometry*, 57\(2\):305–317, 2017\.
  

[arXiv:1505\.01341](https://arxiv.org/abs/1505.01341)\.  
[135] F\. Bornemann, A\. Its, S\. Olver, and G\. Wechslberger\.
  

**Numerical Methods for the Discrete Map $Z^a$\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[arXiv:1507\.06805](https://arxiv.org/abs/1507.06805)\.  
[136] Folkmar Bornemann\.
  

**A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge\.**
  

*The Annals of Applied Probability*, 26\(3\):1942–1946, 2016\.
  

[arXiv:1504\.00235](https://arxiv.org/abs/1504.00235), [doi:10\.1214/15\-AAP1121](https://doi.org/10.1214/15-AAP1121)\.  
[137] Folkmar Bornemann and Michael La Croix\.
  

**The Singular Values of the GOE\.**
  

*Random Matrices: Theory Appl\. 04, 1550009 \(2015\) \(32 pages\)*, June 2015\.
  

[arXiv:1502\.05946](https://arxiv.org/abs/1502.05946), [doi:10\.1142/S2010326315500094](https://doi.org/10.1142/S2010326315500094)\.  
[138] Folkmar Bornemann and Peter J Forrester\.
  

**Singular values and evenness symmetry in random matrix theory\.**
  

In Forum Mathematicum, volume 28, 873–891\. 2016\.
  

[arXiv:1503\.07383](https://arxiv.org/abs/1503.07383), [doi:10\.1515/forum\-2015\-0055](https://doi.org/10.1515/forum-2015-0055)\.  
[139] Folkmar Bornemann, Peter J\. Forrester, and Anthony Mays\.
  

**Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros\.**
  

*Studies in Applied Mathematics*, 138\(4\):401–437, 2017\.
  

[doi:10\.1111/sapm\.12160](https://doi.org/10.1111/sapm.12160)\.  
[140] Magnus Bakke Botnan and Michael Lesnick\.
  

**Algebraic Stability of Zigzag Persistence Modules\.**
  

*Algebr\. Geom\. Topol\., Volume 18, Number 6 \(2018\), 3133\-3204*, December 2018\.
  

URL: [https://msp\.org/scripts/coming\.php?jpath=agt](https://msp.org/scripts/coming.php?jpath=agt), [arXiv:1604\.00655v3](https://arxiv.org/abs/1604.00655v3), [doi:10\.2140/agt\.2018\.18\.3133](https://doi.org/10.2140/agt.2018.18.3133)\.  
[141] P\. Boufounos, G\. Kutyniok, and H\. Rauhut\.
  

**Sparse Recovery from Combined Fusion Frame Measurements\.**
  

*IEEE Trans\. Inform\. Theory*, 57:3864–3876, 2011\.
  

[arXiv:0912\.4988](https://arxiv.org/abs/0912.4988)\.  
[142] A\. Braides and M\. Cicalese\.
  

**Interfaces, modulated phases and textures in lattice systems\.**
  

*Arch\. Rat\. Mech\. Anal\., 223, \(2017\), 977\-1017*, February 2017\.
  

URL: [https://link\.springer\.com/article/10\.1007/s00205\-016\-1050\-7](https://link.springer.com/article/10.1007/s00205-016-1050-7)\.  
[143] A\. Braides, M\. Cicalese, and M\. Ruf\.
  

**Continuum limit and stochastic homogenization of discrete ferromagnetic thin films\.**
  

*Analysis & PDE, \(2018\), vol\. 11, no\.2, 499\-553\.*, March 2018\.
  

URL: [https://msp\.org/apde/2018/11\-2/p06\.xhtml](https://msp.org/apde/2018/11-2/p06.xhtml)\.  
[144] Philip Brinkmann\.
  

**f\-Vector Spaces of Polytopes, Spheres, and Eulerian Lattices\.**
  

Dissertation, FU Berlin, June 2016\.
vii\+132 pages\.
  

URL: [http://www\.diss\.fu\-berlin\.de/diss/receive/FUDISS\_thesis\_000000103149](http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000103149)\.  
[145] Philip Brinkmann and Günter M Ziegler\.
  

**A flag vector of a 3\-sphere that is not the flag vector of a 4\-polytope\.**
  

*Mathematika*, 63\(1\):260–271, 2017\.
  

[arXiv:1506\.08148](https://arxiv.org/abs/1506.08148), [doi:10\.1112/S0025579316000267](https://doi.org/10.1112/S0025579316000267)\.  
[146] Philip Brinkmann and Günter M\. Ziegler\.
  

**Small f\-vectors of 3\-spheres and of 4\-polytopes\.**
  

*Mathematics of Computation*, 87\(314\):2955–2975, February 2018\.
  

[arXiv:1610\.01028](https://arxiv.org/abs/1610.01028), [doi:10\.1090/mcom/3300](https://doi.org/10.1090/mcom/3300)\.  
[147] Sarah Brodsky, Michael Joswig, Ralph Morrison, and Bernd Sturmfels\.
  

**Moduli of tropical plane curves\.**
  

*Research in the Mathematical Sciences*, 2\(1\):4, 2015\.
  

[doi:10\.1186/s40687\-014\-0018\-1](https://doi.org/10.1186/s40687-014-0018-1)\.  
[148] René M\. Broeders and Anna M\. Hartkopf\.
  

**A Mathematical Musical: “Dimensionen in Neukölln”\.**
  

In Carolyn Yackel, Robert Bosch, Eve Torrence, and Kristóf Fenyvesi, editors, Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, 459–462\. Phoenix, Arizona, 2020\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2020/bridges2020\-459\.html](http://archive.bridgesmathart.org/2020/bridges2020-459.html)\.  
[149] Tatiana A\. Bubba, Gitta Kutyniok, Matti Lassas, Maximilian März, Wojciech Samek, Samuli Siltanen, and Vignesh Srinivasan\.
  

**Learning The Invisible: A Hybrid Deep Learning\-Shearlet Framework for Limited Angle Computed Tomography\.**
  

*Inverse Problems*, 35\(6\):064002, June 2019\.
  

[arXiv:1811\.04602](https://arxiv.org/abs/1811.04602), [doi:10\.1088/1361\-6420/ab10ca](https://doi.org/10.1088/1361-6420/ab10ca)\.  
[150] Timo Burggraf, Michael Joswig, Marc E\. Pfetsch, Manuel Radons, and Stefan Ulbrich\.
  

**Semi\-automatically optimized calibration of internal combustion engines\.**
  

Preprint, 2018\.
  

[arXiv:1806\.10980](https://arxiv.org/abs/1806.10980)\.  
[151] Imre Bárány, Pavle V\. M\. Blagojević, and Günter M\. Ziegler\.
  

**Tverberg’s theorem at 50: extensions and counterexamples\.**
  

*Notices of the AMS*, 63\(7\):732–739, 2016\.
  

[doi:10\.1090/noti1415](https://doi.org/10.1090/noti1415)\.  
[152] Helmut Bölcskei, Philipp Grohs, Gitta Kutyniok, and Philipp Petersen\.
  

**Memory\-optimal neural network approximation\.**
  

In Wavelets and Sparsity XVII, volume 10394, 103940Q\. International Society for Optics and Photonics, 2017\.
  

URL: [https://www\.math\.tu\-berlin\.de/fileadmin/i26\_fg\-kutyniok/Kutyniok/Papers/EfficientMemoryDNNs\.pdf](https://www.math.tu-berlin.de/fileadmin/i26_fg-kutyniok/Kutyniok/Papers/EfficientMemoryDNNs.pdf), [doi:10\.1117/12\.2272490](https://doi.org/10.1117/12.2272490)\.  
[153] Helmut Bölcskei, Philipp Grohs, Gitta Kutyniok, and Philipp Petersen\.
  

**Optimal Approximation with Sparsely Connected Deep Neural Networks\.**
  

*SIAM J\. Math\. Data Sci\.*, 1\(1\):8–45, 2019\.
  

[arXiv:1705\.01714](https://arxiv.org/abs/1705.01714), [doi:10\.1137/18M118709X](https://doi.org/10.1137/18M118709X)\.  
[154] U\. Bücking\.
  

**Approximation of conformal mappings using confomally equivalent triangular lattices\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[arXiv:1507\.06449](https://arxiv.org/abs/1507.06449)\.  
[155] U\. Bücking\.
  

**Introduction to linear and nonlinear integrable theories in discrete complex analysis\.**
  

In R\. Verge\-Rebelo D\. Levi and P\. Winternitz, editors, Symmetries and Integrability of Difference Equations: Lecture Notes of the Abecederian of SIDE 12, Montréal 2016, CRM Ser\. Math\. Phys\., pages 153–193\.
Springer, 2017\.
  

[doi:10\.1007/978\-3\-319\-56666\-5\_4](https://doi.org/10.1007/978-3-319-56666-5_4)\.  
[156] U\. Bücking\.
  

**On rigidity and convergence of circle patterns\.**
  

*Discrete Comput\. Geom\.*, 61\(2\):380–420, 2019\.
  

[doi:10\.1007/s00454\-018\-0022\-0](https://doi.org/10.1007/s00454-018-0022-0)\.  
[157] U\. Bücking and D\. Matthes\.
  

**Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[arXiv:1506\.07337](https://arxiv.org/abs/1506.07337)\.  
[158] Ulrike Bücking\.
  

**$C^\\infty $\-convergence of conformal mappings for conformally equivalent triangular lattices\.**
  

*Results in Mathematics*, 73\(2\):84, June 2018\.
  

[arXiv:1706\.09145](https://arxiv.org/abs/1706.09145), [doi:10\.1007/s00025\-018\-0845\-2](https://doi.org/10.1007/s00025-018-0845-2)\.  
[159] Ulrike Bücking\.
  

**Conformally symmetric triangular lattices and discrete θ\-conformal maps\.**
  

*preprint*, August 2018\.
  

[arXiv:1808\.08064](https://arxiv.org/abs/1808.08064)\.  
[160] C\. Lasser, R\. Schubert and S\. Troppmann\.
  

**Non\-Hermitian propagation of Hagedorn wavepackets\.**
  

33pp, 2015\.
  

[arXiv:1507\.02858](https://arxiv.org/abs/1507.02858)\.  
[161] Jason Cantarella, Joseph H\. G\. Fu, Robert B\. Kusner, and John M\. Sullivan\.
  

**Ropelength Criticality\.**
  

*Geom\. Topol\.*, 18:1973–2043, 2014\.
  

[arXiv:1102\.3234](https://arxiv.org/abs/1102.3234)\.  
[162] Jason Cantarella, Joseph H\. G\. Fu, Robert B\. Kusner, John M\. Sullivan, and Nancy C\. Wrinkle\.
  

**Criticality for the Gehring Link Problem\.**
  

*Geom\. Topol\.*, 10:2055–2115, 2006\.
  

[arXiv:math/0402212](https://arxiv.org/abs/math/0402212)\.  
[163] Jason Cantarella, Robert B\. Kusner, and John M\. Sullivan\.
  

**On the minimum ropelength of knots and links\.**
  

*Invent\. Math\.*, 150:257–286, 2002\.
  

[arXiv:math/0103224](https://arxiv.org/abs/math/0103224)\.  
[164] Wolfgang Carl\.
  

**A Laplace Operator on Semi\-Discrete Surfaces\.**
  

*Foundations of Computational Mathematics*, pages 1–36, 2015\.
  

[doi:10\.1007/s10208\-015\-9271\-y](https://doi.org/10.1007/s10208-015-9271-y)\.  
[165] Wolfgang Carl and Johannes Wallner\.
  

**Variational Laplacians for semidiscrete surfaces\.**
  

submitted, 2014\.
  

URL: [http://www\.geometrie\.tugraz\.at/carl/gradients\.pdf](http://www.geometrie.tugraz.at/carl/gradients.pdf)\.  
[166] P\. Casazza, A\. Heinecke, F\. Krahmer, and G\. Kutyniok\.
  

**Optimally sparse frames\.**
  

*IEEE Trans\. Inform\. Theory*, 57\(11\):7279–7287, 2011\.
  

URL: [http://num\.math\.uni\-goettingen\.de/~f\.krahmer/CHKK11\.pdf](http://num.math.uni-goettingen.de/~f.krahmer/CHKK11.pdf)\.  
[167] Cesar Ceballos, Arnau Padrol, and Camilo Sarmiento\.
  

**Dyck path triangulations and extendability\.**
  

*Journal of Combinatorial Theory, Series A*, 131\(0\):187–208, 2015\.
  

URL: [http://www\.sciencedirect\.com/science/article/pii/S009731651400140X](http://www.sciencedirect.com/science/article/pii/S009731651400140X), [arXiv:1402\.5111](https://arxiv.org/abs/1402.5111)\.  
[168] I\. Chao, U\. Pinkall, P\. Sanan, and P\. Schröder\.
  

**A simple geometric model for elastic deformations\.**
  

*ACM Transactions on Graphics*, 2010\.
  

URL: [http://www\.eecs\.berkeley\.edu/~sequin/CS285/PAPERS/Chao\_Elastic\-Model\.pdf](http://www.eecs.berkeley.edu/~sequin/CS285/PAPERS/Chao_Elastic-Model.pdf)\.  
[169] Thomas Chappell, Tobias Friedl, and Raman Sanyal\.
  

**Two double poset polytopes\.**
  

*SIAM Journal on Discrete Mathematics*, 31\(4\):2378–2413, 2017\.
  

URL: [http://epubs\.siam\.org/doi/10\.1137/16M1091800](http://epubs.siam.org/doi/10.1137/16M1091800), [arXiv:1606\.04938](https://arxiv.org/abs/1606.04938)\.  
[170] Hao Chen and Arnau Padrol\.
  

**Scribability Problems for Polytopes\.**
  

Preprint, August 2015\.
  

[arXiv:1508\.03537](https://arxiv.org/abs/1508.03537)\.  
[171] A\. Chern, U\. Pinkall, and P\. Schröder\.
  

**Close\-to\-conformal deformations of volumes\.**
  

*ACM Transactions on Graphics*, 34\(4\):56, 2015\.
  
  
[172] Albert Chern\.
  

**A Reflectionless Discrete Perfectly Matched Layer\.**
  

With minor revision accepted by Journal of Computational Physics\., March 2019\.
  

[arXiv:1804\.01390v2](https://arxiv.org/abs/1804.01390v2)\.  
[173] Albert Chern and Oliver Gross\.
  

**Force\-Free Fields are Conformally Geodesic\.**
  

preprint, December 2023\.
  

[arXiv:2312\.05252](https://arxiv.org/abs/2312.05252)\.  
[174] Albert Chern, Felix Knöppel, Franz Pedit, and Ulrich Pinkall\.
  

**Commuting Hamiltonian flows of curves in real space forms\.**
  

Preprint, September 2018\.
  

[arXiv:1809\.01394](https://arxiv.org/abs/1809.01394), [dgd:493](https://www.discretization.de/publications/file/493)\.  
[175] Albert Chern, Felix Knöppel, Franz Pedit, Ulrich Pinkall, and Peter Schröder\.
  

**Finding Conformal and Isometric Immersions of Surfaces\.**
  

Preprint, January 2019\.
  

[arXiv:1901\.09432](https://arxiv.org/abs/1901.09432)\.  
[176] Albert Chern, Felix Knöppel, and Peter Pinkall, Ulrich and​ ​Schröder\.
  

**Inside Fluids: Clebsch Maps for Visualization and Processing\.**
  

*ACM Trans\. Graph\.*, 36\(4\):142:1–142:11, July 2017\.
  

[doi:10\.1145/3072959\.3073591](https://doi.org/10.1145/3072959.3073591)\.  
[177] Albert Chern, Felix Knöppel, Peter Pinkall, Ulrich and​ ​Schröder, and Steffen Weißmann\.
  

**Schrödinger's Smoke\.**
  

*ACM Trans\. Graph\.*, 35:77:1–77:13, July 2016\.
  

[doi:10\.1145/2897824\.2925868](https://doi.org/10.1145/2897824.2925868)\.  
[178] Albert Chern, Felix Knöppel, Ulrich Pinkall, and Peter Schröder\.
  

**Shape from Metric\.**
  

*ACM Trans\. Graph\.*, 37\(4\):63:1–63:17, August 2018\.
  

URL: [http://multires\.caltech\.edu/pubs/ShapeFromMetric\.pdf](http://multires.caltech.edu/pubs/ShapeFromMetric.pdf), [doi:10\.1145/3197517\.3201276](https://doi.org/10.1145/3197517.3201276)\.  
[179] M\. Cicalese and G\.P\. Leonardi\.
  

**Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities\.**
  

*Commun\. Math\. Phys\.*, September 2019\.
preprint\.
  

URL: [http://cvgmt\.sns\.it/paper/4195/](http://cvgmt.sns.it/paper/4195/)\.  
[180] M\. Cicalese and F\. Solombrino\.
  

**Frustrated ferromagnetic spin chains: a variational approach to chirality transitions\.**
  

*Journal of Nonlinear Science, 25\(291\-313\)*, 2015\.
  
  
[181] Marco Cicalese, Antoine Gloria, and Matthias Ruf\.
  

**From statistical polymer physics to nonlinear elasticity\.**
  

*preprint*, September 2018\.
  

[arXiv:1809\.00598](https://arxiv.org/abs/1809.00598)\.  
[182] Marco Cicalese, Matthias Ruf, and Francesco Solombrino\.
  

**Chirality transitions in frustrated S2\-valued spin systems\.**
  

*Math\. Models Methods Appl\. Sci\., 26, \(2016\), no\. 8, 1481\-1529*, July 2016\.
  

[doi:10\.1142/S0218202516500366](https://doi.org/10.1142/S0218202516500366)\.  
[183] Flore Nabet Clément Cancès, Daniel Matthes\.
  

**A two\-phase two\-fluxes degenerate Cahn\-Hilliard model as constrained Wasserstein gradient flow\.**
  

*Arch\. Ration\. Mech\. Anal\.*, 233\(2\):837–866, 2019\.
  

[arXiv:1712\.06446](https://arxiv.org/abs/1712.06446), [doi:10\.1007/s00205\-019\-01369\-6](https://doi.org/10.1007/s00205-019-01369-6)\.  
[184] Giulia Codenotti, Lukas Katthän, and Raman Sanyal\.
  

**On $f$\- and $h$\-vectors of relative simplicial complexes\.**
  

Preprint, 2017\.
  

[arXiv:1711\.02729](https://arxiv.org/abs/1711.02729)\.  
[185] David Cohen\-Steiner, Herbert Edelsbrunner, and John Harer\.
  

**Stability of Persistence Diagrams\.**
  

*Discrete and Computational Geometry*, 37\(1\):103–120, January 2007\.
  

[doi:10\.1007/s00454\-006\-1276\-5](https://doi.org/10.1007/s00454-006-1276-5)\.  
[186] Leonardo Colombo, Fernando Jiménez, and David Martín de Diego\.
  

**Variational integrators for underactuated mechanical control systems with symmetries\.**
  

submitted, September 2012\.
  

[arXiv:1209\.6315](https://arxiv.org/abs/1209.6315)\.  
[187] Sergio Conti, Johannes Diermeier, Melanie Koser, and Barbara Zwicknagl\.
  

**Asymptotic Self\-Similarity of Minimizers and Local Bounds in a Model of Shape\-Memory Alloys\.**
  

*Journal of Elasticity*, December 2021\.
  

[doi:10\.1007/s10659\-021\-09862\-4](https://doi.org/10.1007/s10659-021-09862-4)\.  
[188] Sergio Conti, Johannes Diermeier, and Barbara Zwicknagl\.
  

**Deformation concentration for martensitic microstructures in the limit of low volume fraction\.**
  

*Calc\. Var\. Partial Differential Equations*, 56\(1\):Art\. 16, 24, 2017\.
  

[doi:10\.1007/s00526\-016\-1097\-1](https://doi.org/10.1007/s00526-016-1097-1)\.  
[189] Sergio Conti and Barbara Zwicknagl\.
  

**Low volume\-fraction microstructures in martensites and crystal plasticity\.**
  

*Math\. Models Methods Appl\. Sci\.*, 26\(7\):1319–1355, 2016\.
  

[doi:10\.1142/S0218202516500317](https://doi.org/10.1142/S0218202516500317)\.  
[190] C\. Cotar, G\. Friesecke, and C\. Klüppelberg\.
  

**Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg\-Kohn functional\.**
  

*Archive for Rational Mechanics and Analysis*, 228 \(3\):891–922, 2018\.
  

[doi:10\.1007/s00205\-017\-1208\-y](https://doi.org/10.1007/s00205-017-1208-y)\.  
[191] K\. Crane, U\. Pinkall, and P\. Schröder\.
  

**Spin transformations of discrete surfaces\.**
  

*ACM Transactions on Graphics*, 2011\.
  

URL: [http://www\.cs\.columbia\.edu/~keenan/Projects/SpinTransformations/paper\.pdf](http://www.cs.columbia.edu/~keenan/Projects/SpinTransformations/paper.pdf)\.  
[192] Keenan Crane, Ulrich Pinkall, and Peter Schröder\.
  

**Robust Fairing via Conformal Curvature Flow\.**
  

*ACM Trans\. Graph\.*, 2013\.
  

URL: [http://www\.cs\.columbia\.edu/~keenan/Projects/ConformalWillmoreFlow/paper\.pdf](http://www.cs.columbia.edu/~keenan/Projects/ConformalWillmoreFlow/paper.pdf)\.  
[193] Daniel Matthes and Simon Plazotta\.
  

**A Variational Formulation of the BDF2 Method for Metric Gradient Flows\.**
  

*ESAIM: M2AN, Forthcoming article*, July 2018\.
  

[doi:10\.1051/m2an/2018045](https://doi.org/10.1051/m2an/2018045)\.  
[194] S\. Day, O\. Junge, and K\. Mischaikow\.
  

**A rigorous numerical method for the global analysis of infinite\-dimensional discrete dynamical systems\.**
  

*SIAM J\. Appl\. Dyn\. Syst\.*, 3\(2\):117–160, 2004\.
  

[doi:10\.1137/030600210](https://doi.org/10.1137/030600210)\.  
[195] P\. Degond, M\.Engel, J\.Liu, and R\. Pego\.
  

**A Markov jump process modelling animal group size statistics\.**
  

*Communications in Mathematical Sciences*, January 2019\.
  
  
[196] P\. Deift, C\. S\. Güntürk, and F\. Krahmer\.
  

**An Optimal Family of Exponentially Accurate One\-Bit Sigma\-Delta Quantization Schemes\.**
  

*Comm\. Pure Appl\. Math\.*, 64\(7\):883–919, 2011\.
  

URL: [http://num\.math\.uni\-goettingen\.de/~f\.krahmer/DGK11\.pdf](http://num.math.uni-goettingen.de/~f.krahmer/DGK11.pdf)\.  
[197] Felix Dellinger\.
  

**Discrete Isothermic Nets Based on Checkerboard Patterns\.**
  

*Discrete & Computational Geometry*, September 2023\.
  

URL: [https://link\.springer\.com/article/10\.1007/s00454\-023\-00558\-1](https://link.springer.com/article/10.1007/s00454-023-00558-1)\.  
[198] Felix Dellinger, Xinye Li, and Hui Wang\.
  

**Discrete orthogonal structures\.**
  

*Computers & Graphics*, June 2023\.
  

URL: [https://www\.sciencedirect\.com/science/article/abs/pii/S0097849323000791?via%3Dihub](https://www.sciencedirect.com/science/article/abs/pii/S0097849323000791?via%3Dihub)\.  
[199] Michael Dellnitz, Gary Froyland, and Oliver Junge\.
  

**The algorithms behind GAIO\-set oriented numerical methods for dynamical systems\.**
  

In Ergodic theory, analysis, and efficient simulation of dynamical systems, pages 145–174, 805–807\.
Springer, Berlin, 2001\.
  

[doi:10\.1007/978\-3\-642\-56589\-2](https://doi.org/10.1007/978-3-642-56589-2)\.  
[200] Michael Dellnitz, Andreas Hohmann, Oliver Junge, and Martin Rumpf\.
  

**Exploring invariant sets and invariant measures\.**
  

*Chaos*, 7\(2\):221–228, 1997\.
  

[doi:10\.1063/1\.166223](https://doi.org/10.1063/1.166223)\.  
[201] Michael Dellnitz and Oliver Junge\.
  

**On the approximation of complicated dynamical behavior\.**
  

*SIAM J\. Numer\. Anal\.*, 36\(2\):491–515, 1999\.
  

[doi:10\.1137/S0036142996313002](https://doi.org/10.1137/S0036142996313002)\.  
[202] Michael Dellnitz and Oliver Junge\.
  

**Set oriented numerical methods for dynamical systems\.**
  

In Handbook of dynamical systems, Vol\. 2, pages 221–264\.
North\-Holland, Amsterdam, 2002\.
  

[doi:10\.1016/S1874\-575X\(02\)80026\-1](https://doi.org/10.1016/S1874-575X(02)80026-1)\.  
[203] A\. Delshams, M\. Gonchenko, and S\. Gonchenko\.
  

**On dynamics and bifurcations of area\-preserving maps with homoclinic tangencies\.**
  

Submitted to Nonlinearity, July 2014\.
  

[arXiv:1407\.5473](https://arxiv.org/abs/1407.5473)\.  
[204] A\. Delshams, M\. Gonchenko, and P\. Gutiérrez\.
  

**A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies\.**
  

To appear in Research Perspectives CRM Barcelona, July 2014\.
  

[arXiv:1407\.6524](https://arxiv.org/abs/1407.6524)\.  
[205] Amadeu Delshams, Marina Gonchenko, and Sergey V\. Gonchenko\.
  

**On bifurcations of area\-preserving and nonorientable maps with quadratic homoclinic tangencies\.**
  

*Regul\. Chaotic Dyn\.*, 19\(6\):702–717, 2014\.
  

[arXiv:1410\.5704](https://arxiv.org/abs/1410.5704), [doi:10\.1134/S1560354714060082](https://doi.org/10.1134/S1560354714060082)\.  
[206] Amadeu Delshams, Marina Gonchenko, and Pere Gutiérrez\.
  

**Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio\.**
  

*Regul\. Chaotic Dyn\.*, 19\(6\):663–680, 2014\.
  

[arXiv:1409\.4944](https://arxiv.org/abs/1409.4944), [doi:10\.1134/S1560354714060057](https://doi.org/10.1134/S1560354714060057)\.  
[207] Amadeu Delshams, Marina Gonchenko, and Pere Gutiérrez\.
  

**Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type\.**
  

*International Journal of Bifurcation and Chaos*, 24\(08\):1440011, 2014\.
  

[arXiv:1402\.1654](https://arxiv.org/abs/1402.1654), [doi:10\.1142/S0218127414400112](https://doi.org/10.1142/S0218127414400112)\.  
[208] Amadeu Delshams, Marina Gonchenko, and Pere Gutiérrez\.
  

**Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies\.**
  

*Electron\. Res\. Announc\. Math\. Sci\.*, 21:41–61, 2014\.
  

[arXiv:1306\.0728](https://arxiv.org/abs/1306.0728), [doi:10\.3934/era\.2014\.21\.41](https://doi.org/10.3934/era.2014.21.41)\.  
[209] Elizabeth Denne, Yuanan Diao, and John M\. Sullivan\.
  

**Quadrisecants give new lower bounds for the ropelength of a knot\.**
  

*Geom\. Topol\.*, 10:1–26, 2006\.
  

[arXiv:math/0408026](https://arxiv.org/abs/math/0408026)\.  
[210] Elizabeth Denne and John M\. Sullivan\.
  

**The Distortion of a Knotted Curve\.**
  

*Proc\. Amer\. Math\. Soc\.*, 137:1139–1148, 2009\.
  

[arXiv:math/0409438](https://arxiv.org/abs/math/0409438)\.  
[211] N\. Dimitrov\.
  

**Hyper\-ideal Circle Patterns with Cone Singularities\.**
  

*Results in Mathematics*, pages 1–45, 2015\.
  

[arXiv:1406\.6741](https://arxiv.org/abs/1406.6741), [doi:10\.1007/s00025\-015\-0453\-3](https://doi.org/10.1007/s00025-015-0453-3)\.  
[212] Benedict Dingfelder and J\.A\.C\. Weideman\.
  

**An improved Talbot method for numerical Laplace transform inversion\.**
  

*Numerical Algorithms*, 68\(1\):167–183, 2015\.
  

[arXiv:1304\.2505](https://arxiv.org/abs/1304.2505), [doi:10\.1007/s11075\-014\-9895\-z](https://doi.org/10.1007/s11075-014-9895-z)\.  
[213] Thai Son Doan, Maximilian Engel, Jeroen S\.W\. Lamb, and Martin Rasmussen\.
  

**Hopf bifurcation with additive noise\.**
  

*Nonlinearity 31 \(2018\), no\. 10, 4567–4601*, August 2018\.
  

[arXiv:1710\.09649](https://arxiv.org/abs/1710.09649), [doi:10\.1088/1361\-6544/aad208](https://doi.org/10.1088/1361-6544/aad208)\.  
[214] Joseph Doolittle, Jean\-Philippe Labbé, Carsten Lange, Rainer Sinn, Jonathan Speer, and Günter M\. Ziegler\.
  

**Combinatorial inscribability obstructions for higher\-dimensional polytopes\.**
  

Preprint, October 2019\.
  

[arXiv:1910\.05241](https://arxiv.org/abs/1910.05241)\.  
[215] Sebastian Eberhardt, Steffen Weissmann, Ulrich Pinkall, and Nils Thuerey\.
  

**Hierarchical Vorticity Skeletons\.**
  

*Proceedings of the Symposium on Computer Animation \(SCA '12\)*, to appear:11, June 2017\.
  

URL: [https://ge\.in\.tum\.de/download/2017\-sca\-eberhardt\.pdf](https://ge.in.tum.de/download/2017-sca-eberhardt.pdf), [doi:10\.1145/3099564\.3099569](https://doi.org/10.1145/3099564.3099569)\.  
[216] Holger Eble, Michael Joswig, Lisa Lamberti, and Will Ludington\.
  

**Cluster partitions and fitness landscapes of the Drosophila fly microbiome\.**
  

Preprint, 2018\.
  

[arXiv:1809\.02533](https://arxiv.org/abs/1809.02533)\.  
[217] M\-L Eckert, Wolfgang Heidrich, and Nils Thuerey\.
  

**Coupled Fluid Density and Motion from Single Views\.**
  

In Computer Graphics Forum, volume 37, 47–58\. Wiley Online Library, 2018\.
  

[doi:10\.1111/cgf\.13511](https://doi.org/10.1111/cgf.13511)\.  
[218] H\. Edelsbrunner\.
  

**The union of balls and its dual shape\.**
  

*Discrete and Computational Geometry*, 13\(1\):415–440, December 1995\.
  

[doi:10\.1007/bf02574053](https://doi.org/10.1007/bf02574053)\.  
[219] Herbert Edelsbrunner\.
  

**Surface Reconstruction by Wrapping Finite Sets in Space\.**
  

In Boris Aronov, Saugata Basu, János Pach, and Micha Sharir, editors, Discrete and Computational Geometry, volume 25 of Algorithms and Combinatorics, pages 379–404\.
Springer Berlin Heidelberg, 2003\.
  

[doi:10\.1007/978\-3\-642\-55566\-4\_17](https://doi.org/10.1007/978-3-642-55566-4_17)\.  
[220] Herbert Edelsbrunner, Grzegorz Jablonski, and Marian Mrozek\.
  

**The Persistent Homology of a Self\-Map\.**
  

*Foundations of Computational Mathematics*, pages 1–32, 2014\.
  

[doi:10\.1007/s10208\-014\-9223\-y](https://doi.org/10.1007/s10208-014-9223-y)\.  
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**Topological Persistence and Simplification\.**
  

*Discrete & Computational Geometry*, 28\(4\):511–533, November 2002\.
  

[doi:10\.1007/s00454\-002\-2885\-2](https://doi.org/10.1007/s00454-002-2885-2)\.  
[222] Herbert Edelsbrunner and Anton Nikitenko\.
  

**Random inscribed polytopes have similar radius functions as Poisson\-Delaunay mosaics\.**
  

*Ann\. Appl\. Probab\.*, 28\(5\):3215–3238, 2018\.
  

[doi:10\.1214/18\-AAP1389](https://doi.org/10.1214/18-AAP1389)\.  
[223] Herbert Edelsbrunner, Anton Nikitenko, and Matthias Reitzner\.
  

**Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions\.**
  

*Advances in Applied Probability*, 49\(3\):745–767, 2017\.
  

[arXiv:1607\.05915](https://arxiv.org/abs/1607.05915)\.  
[224] Herbert Edelsbrunner and Florian Pausinger\.
  

**Approximation and convergence of the intrinsic volume\.**
  

*Advances in Mathematics*, 2015\.
accepted\.
  
  
[225] Herbert Edelsbrunner and Katharina Ölsböck\.
  

**Holes and dependences in an ordered complex\.**
  

*Computer Aided Geometric Design*, August 2019\.
  

URL: [http://pub\.ist\.ac\.at/~edels/Papers/2018\-J\-06\-HolesDependences\.pdf](http://pub.ist.ac.at/~edels/Papers/2018-J-06-HolesDependences.pdf)\.  
[226] M\. Engel and H\. Jardon\-Kojakhmetov\.
  

**Extended and symmetric loss of stability for canards in planar fast\-slow maps\.**
  

preprint, January 2020\.
  

[arXiv:1912\.10286](https://arxiv.org/abs/1912.10286)\.  
[227] M\. Engel and C\. Kuehn\.
  

**A random dynamical systems perspective on isochronicity for stochastic oscillations\.**
  

preprint, November 2019\.
  

[arXiv:1911\.08993](https://arxiv.org/abs/1911.08993)\.  
[228] M\. Engel and C\. Kuehn\.
  

**Discretized fast\-slow systems near transcritical singularities\.**
  

*Nonlinearity, Vol\. 32, No\. 7, 2365\-2391*, May 2019\.
  

[doi:10\.1088/1361\-6544/ab15c1](https://doi.org/10.1088/1361-6544/ab15c1)\.  
[229] M\. Engel, C\. Kuehn, M\. Petrera, and Y\. Suris\.
  

**Discretized fast\-slow systems with canard points in two dimensions\.**
  

preprint, July 2019\.
  

[arXiv:1907\.06574](https://arxiv.org/abs/1907.06574)\.  
[230] M\. Engel, J\.S\.W\. Lamb, and M\. Rasmussen\.
  

**Bifurcation analysis of a stochastically driven limit cycle\.**
  

*Communications in Mathematical Physics 365\(3\), 2019*, January 2019\.
  

[arXiv:1606\.01137](https://arxiv.org/abs/1606.01137), [doi:10\.1007/s00220\-019\-03298\-7](https://doi.org/10.1007/s00220-019-03298-7)\.  
[231] M\. Engel, J\.S\.W\. Lamb, and M\. Rasmussen\.
  

**Conditioned Lyapunov exponents for random dynamical systems\.**
  

*Transactions of the American Mathematical Society 372\(9\), 2019*, May 2019\.
  

[doi:10\.1090/tran/7803](https://doi.org/10.1090/tran/7803)\.  
[232] Ekaterina Eremenko\.
  

**My Experience of Producing Mathematical Films\.**
  

In Anna Maria Hartkopf and Erin Henning, editors, Handbook of Mathematical Science Communication, pages 231–246\.
World Scientific, January 2023\.
  

URL: [https://doi\.org/10\.1142/9789811253072\_0013](https://doi.org/10.1142/9789811253072_0013)\.  
[233] Myfanwy E\. Evans and Stephen T\. Hyde\.
  

**From three\-dimensional weavings to swollen corneocytes\.**
  

*J\. R\. Soc\. Interface*, 8:1274–1280, 2011\.
  

URL: [http://rsif\.royalsocietypublishing\.org/content/8/62/1274\.short](http://rsif.royalsocietypublishing.org/content/8/62/1274.short), [doi:10\.1098/rsif\.2010\.0722](https://doi.org/10.1098/rsif.2010.0722)\.  
[234] Myfanwy E\. Evans, Vanessa Robins, and Stephen Hyde\.
  

**Periodic entanglement I: nets from hyperbolic reticulations\.**
  

*Acta Cryst\.*, A69:241–261, 2013\.
  

URL: [http://journals\.iucr\.org/a/issues/2013/03/00/eo5019/index\.html](http://journals.iucr.org/a/issues/2013/03/00/eo5019/index.html), [doi:10\.1107/S0108767313001670](https://doi.org/10.1107/S0108767313001670)\.  
[235] Myfanwy E\. Evans, Vanessa Robins, and Stephen Hyde\.
  

**Periodic entanglement II: weavings from hyperbolic line patterns\.**
  

*Acta Cryst\.*, A69:262–275, 2013\.
  

URL: [http://journals\.iucr\.org/a/issues/2013/03/00/eo5020/index\.html](http://journals.iucr.org/a/issues/2013/03/00/eo5020/index.html), [doi:10\.1107/S0108767313001682](https://doi.org/10.1107/S0108767313001682)\.  
[236] Myfanwy E\. Evans, Vanessa Robins, and Stephen Hyde\.
  

**Ideal geometry of periodic entanglements\.**
  

*P\. R\. Soc\. A*, 471\(2181\):2015\.0254, 2015\.
  

[doi:10\.1098/rspa\.2015\.0254](https://doi.org/10.1098/rspa.2015.0254)\.  
[237] Myfanwy E\. Evans and Roland Roth\.
  

**Shaping the skin: the interplay of mesoscale geometry and corneocyte swelling\.**
  

*Phys\. Rev\. Lett\.*, 112\(3\):038102:1–5, 2014\.
  

URL: [http://link\.aps\.org/doi/10\.1103/PhysRevLett\.112\.038102](http://link.aps.org/doi/10.1103/PhysRevLett.112.038102)\.  
[238] Alexander Yves Fairley\.
  

**Q\-Nets and Quadrics\.**
  

Dissertation, TU Berlin, September 2023\.
Doctoral thesis\.
  

[doi:10\.14279/depositonce\-18877](https://doi.org/10.14279/depositonce-18877)\.  
[239] Sebastián Ferraro, Fernando Jiménez, and David Martín de Diego\.
  

**New developments on the Geometric Nonholonomic Integrator\.**
  

*Nonlinearity, 28:871\-900*, 2015\.
  

[arXiv:1312\.1587](https://arxiv.org/abs/1312.1587)\.  
[240] D\. Ferus, K\. Leschke, F\. Pedit, and U\. Pinkall\.
  

**Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2\-tori\.**
  

*Inventiones Mathematicae*, 146\(3\):507–593, 2001\.
  

[arXiv:math/0012238](https://arxiv.org/abs/math/0012238)\.  
[241] Moritz Firsching\.
  

**Realizability and inscribability for some simplicial spheres and matroid polytopes\.**
  

Preprint, August 2015\.
  

[arXiv:1508\.02531](https://arxiv.org/abs/1508.02531)\.  
[242] Moritz Firsching\.
  

**Optimization Methods in Discrete Geometry\.**
  

Dissertation, FU Berlin, January 2016\.
85 pages\.
  

URL: [http://www\.diss\.fu\-berlin\.de/diss/receive/FUDISS\_thesis\_000000101268](http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000101268)\.  
[243] Moritz Firsching\.
  

**Realizability and Inscribability for Simplicial Polytopes via Nonlinear Optimization\.**
  

*Mathematical Programming*, 166\(1\-2\):273–295, 2017\.
  

[arXiv:1508\.02531](https://arxiv.org/abs/1508.02531), [doi:10\.1007/s10107\-017\-1120\-0](https://doi.org/10.1007/s10107-017-1120-0)\.  
[244] Moritz Firsching\.
  

**The complete enumeration of $4$\-polytopes and $3$\-spheres with nine vertices\.**
  

Preprint, March 2018\.
  

[arXiv:1803\.05205](https://arxiv.org/abs/1803.05205)\.  
[245] Julian Fischer and Daniel Matthes\.
  

**The waiting time phenomenon in spatially discretized porous medium and thin film equations\.**
  

preprint at arXiv, 2019\.
  

[arXiv:1911\.04185](https://arxiv.org/abs/1911.04185)\.  
[246] Michael Fisher, Boris Springborn, Peter Schröder, and Alexander I\. Bobenko\.
  

**An algorithm for the construction of intrinsic Delaunay triangulations with applications to digital geometry processing\.**
  

*Computing*, 81\(2\-3\):199–213, 2007\.
  

[doi:10\.1007/s00607\-007\-0249\-8](https://doi.org/10.1007/s00607-007-0249-8)\.  
[247] Axel Flinth and Sandra Keiper\.
  

**Recovery of binary sparse signals with biased measurement matrices\.**
  

*IEEE Transactions on Information Theory*, 2019\.
  

[doi:10\.1109/TIT\.2019\.2929192](https://doi.org/10.1109/TIT.2019.2929192)\.  
[248] Benedikt Fluhr\.
  

**The Mayer\-Vietoris Pyramid Sheaf\-theoretically\.**
  

May 2018\.
Poster Session: Bridging Statistics and Sheaves at IMA, Minneapolis\.
  

URL: [http://bfluhr\.com/bucket/poster\-ima\.pdf](http://bfluhr.com/bucket/poster-ima.pdf)\.  
[249] Simon Flöry, Yukie Nagai, Florin Isvoranu, Helmut Pottmann, and Johannes Wallner\.
  

**Ruled Free Forms\.**
  

In Lars Hesselgren, Shrikant Sharma, Johannes Wallner, Niccolo Baldassini, Philippe Bompas, and Jacques Raynaud, editors, Advances in Architectural Geometry 2012, pages 57–66\.
Springer, 2012\.
  

[doi:10\.1007/978\-3\-7091\-1251\-9\_4](https://doi.org/10.1007/978-3-7091-1251-9_4)\.  
[250] Marco Di Francesco, Massimo Fornasier, Jan\-Christian Hütter, and Daniel Matthes\.
  

**Asymptotic Behavior of Gradient Flows Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension\.**
  

accepted at SIAM\-MA, January 2014\.
  

[arXiv:1401\.2338](https://arxiv.org/abs/1401.2338)\.  
[251] Thomas Frerix, Matthias Nießner, and Daniel Cremers\.
  

**Homogeneous Linear Inequality Constraints for Neural Network Activations\.**
  

Preprint, 2019\.
  

[arXiv:1902\.01785](https://arxiv.org/abs/1902.01785)\.  
[252] Florian Frick and Raman Sanyal\.
  

**Minkowski complexes and convex threshold dimension\.**
  

*Journal of Combinatorial Theory, Series A*, 151:202–206, 2017\.
  

URL: [http://www\.sciencedirect\.com/science/article/pii/S0097316517300584](http://www.sciencedirect.com/science/article/pii/S0097316517300584), [arXiv:1607\.07814](https://arxiv.org/abs/1607.07814)\.  
[253] Tobias Friedl, Cordian Riener, and Raman Sanyal\.
  

**Reflection groups, reflection arrangements, and invariant real varieties\.**
  

*Proceedings of the American Mathematical Society*, 2017\.
  

URL: [http://www\.ams\.org/journals/proc/0000\-000\-00/S0002\-9939\-2017\-13821\-0/home\.html](http://www.ams.org/journals/proc/0000-000-00/S0002-9939-2017-13821-0/home.html), [arXiv:1602\.06732](https://arxiv.org/abs/1602.06732), [doi:10\.1090/proc/13821](https://doi.org/10.1090/proc/13821)\.  
[254] G\. Friesecke\.
  

**Die Schönheit der molekularen Architektur von Viren und ihre Entschlüsselung durch Beugungsmuster\.**
  

*Mitt\. Dtsch\. Math\.\-Ver\.*, 24:208–213, 2016\.
  

URL: [https://www\.degruyter\.com/view/j/dmvm\.2016\.24\.issue\-4/dmvm\-2016\-0078/dmvm\-2016\-0078\.xml](https://www.degruyter.com/view/j/dmvm.2016.24.issue-4/dmvm-2016-0078/dmvm-2016-0078.xml), [doi:10\.1515/dmvm\-2016\-0078](https://doi.org/10.1515/dmvm-2016-0078)\.  
[255] Gero Friesecke, Daniel Matthes, and Bernhard Schmitzer\.
  

**Barycenters for the Hellinger–Kantorovich distance over $\\mathbb R^d$\.**
  

preprint at arXiv, 2019\.
  

[arXiv:1910\.14572](https://arxiv.org/abs/1910.14572)\.  
[256] G\. Friesecke, R\. D\. James and D\. Jüstel\.
  

**Twisted x\-rays: incoming waveforms yielding discrete diffraction patterns for helical structures\.**
  

2015\.
  

[arXiv:1506\.04240](https://arxiv.org/abs/1506.04240)\.  
[257] Wolfgang Gaim and Caroline Lasser\.
  

**Corrections to Wigner type phase space methods\.**
  

*Nonlinearity*, 27\(12\):2951–2974, 2014\.
  

URL: [http://stacks\.iop\.org/0951\-7715/27/i=12/a=2951](http://stacks.iop.org/0951-7715/27/i=12/a=2951), [arXiv:1403\.2839](https://arxiv.org/abs/1403.2839), [doi:10\.1088/0951\-7715/27/12/2951](https://doi.org/10.1088/0951-7715/27/12/2951)\.  
[258] Ewgenij Gawrilow and Michael Joswig\.
  

**polymake: a framework for analyzing convex polytopes\.**
  

In Polytopes \- combinatorics and computation \(Oberwolfach, 1997\), volume 29 of DMV Sem\., pages 43–73\.
Birkhäuser, Basel, 2000\.
  

[doi:10\.1007/978\-3\-0348\-8438\-9\_2](https://doi.org/10.1007/978-3-0348-8438-9_2)\.  
[259] Laura Gellert and Raman Sanyal\.
  

**On degree sequences of undirected, directed, and bidirected graphs\.**
  

*European Journal of Combinatorics*, 64:113–124, 2017\.
  

URL: [http://www\.sciencedirect\.com/science/article/pii/S0195669817300409](http://www.sciencedirect.com/science/article/pii/S0195669817300409), [arXiv:1512\.08448](https://arxiv.org/abs/1512.08448)\.  
[260] M\. Genzel, G\. Kutyniok, and M\. März\.
  

**$\\ell ^1$\-Analysis Minimization and Generalized \(Co\-\)Sparsity: When Does Recovery Succeed?**
  

preprint, October 2017\.
  
  
[261] Mark Gillespie, Boris Springborn, and Keenan Crane\.
  

**Discrete Conformal Equivalence of Polyhedral Surfaces\.**
  

*ACM Trans\. Graph\.*, 40\(4\):103:1–103:20, August 2021\.
  

[doi:10\.1145/3450626\.3459763](https://doi.org/10.1145/3450626.3459763)\.  
[262] Janusz Ginster and Barbara Zwicknagl\.
  

**Energy Scaling Law for a Singularly Perturbed Four\-Gradient Problem in Helimagnetism\.**
  

*Journal of Nonlinear Science*, December 2022\.
  

[doi:10\.1007/s00332\-022\-09847\-0](https://doi.org/10.1007/s00332-022-09847-0)\.  
[263] Janusz Ginster and Barbara Zwicknagl\.
  

**Energy Scaling Laws for Microstructures: From Helimagnets to Martensites\.**
  

cvgmt preprint, April 2023\.
  
  
[264] Georg Glaeser and Konrad Polthier\.
  

**Bilder der Mathematik\.**
  

Springer Spektrum, 2 edition, 2010\.
ISBN 978\-3\-662\-43416\-1\.
Nachdruck 2014\.
  
  
[265] Georg Glaeser and Konrad Polthier\.
  

**Wiskunde in beeld\.**
  

Uitgevrij Veen Magazines BV, 2012\.
ISBN 978\-90\-8571\-250\-3\.
  
  
[266] Georg Glaeser and Konrad Polthier\.
  

**Immagini Della Matematica\.**
  

Springer, Italia, 2013\.
ISBN 978\-88\-6030\-619\-7\.
  
  
[267] Georg Glaeser and Konrad Polthier\.
  

**Surprenantes images de mathématiques\.**
  

Belin, 2013\.
ISBN 978\-27\-0115\-695\-8\.
Janie Molard\(Übersetzerin\)\.
  
  
[268] Bernd Gonska and Arnau Padrol\.
  

**Neighborly inscribed polytopes and Delaunay triangulations\.**
  

Preprint, August 2013\.
  

[arXiv:1308\.5798](https://arxiv.org/abs/1308.5798)\.  
[269] Bernd Gonska and Arnau Padrol\.
  

**Many neighborly inscribed polytopes and Delaunay triangulations\.**
  

In 26th International Conference on Formal Power Series and Algebraic Combinatorics \(FPSAC 2014\), 161–168\. 2014\.
  

URL: [http://www\.dmtcs\.org/dmtcs\-ojs/index\.php/proceedings/article/view/dmAT0115](http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAT0115)\.  
[270] Bernd Gonska and Günter M\. Ziegler\.
  

**Inscribable stacked polytopes\.**
  

*Adv\. Geom\.*, 13:723–740, 2013\.
  

[arXiv:1111\.5322](https://arxiv.org/abs/1111.5322)\.  
[271] O\. Graf, F\. Krahmer, and S\. Krause\-Solberg\.
  

**Higher order 1\-bit Sigma\-Delta modulation on a circle\.**
  

In Proc\. Intl\. Conf\. on Sampling Theory and Applications \(SampTA '19\)\. 2019\.
  

URL: [https://sampta2019\.sciencesconf\.org/273036/document](https://sampta2019.sciencesconf.org/273036/document)\.  
[272] Olga Graf, Ayush Bhandari, and Felix Krahmer\.
  

**One\-Bit Unlimited Sampling\.**
  

In Proc\. IEEE Intl\. Conf\. Acoustics Speach Signal Proc\. \(ICASSP 2019\)\. September 2019\.
  

[doi:10\.1109/ICASSP\.2019\.8683266](https://doi.org/10.1109/ICASSP.2019.8683266), [dgd:442](https://www.discretization.de/publications/file/442)\.  
[273] Olga Graf, Felix Krahmer, and Sara Krause\-Solberg\.
  

**One\-Bit Sigma\-Delta modulation on the circle\.**
  

preprint, November 2019\.
  

[dgd:587](https://www.discretization.de/publications/file/587)\.  
[274] Francesco Grande, Arnau Padrol, and Raman Sanyal\.
  

**Extension complexity and realization spaces of hypersimplices\.**
  

*Discrete Comput Geom*, 2017\.
  

[arXiv:1601\.02416](https://arxiv.org/abs/1601.02416), [doi:10\.1007/s00454\-017\-9925\-4](https://doi.org/10.1007/s00454-017-9925-4)\.  
[275] Francesco Grande and Raman Sanyal\.
  

**Theta rank, levelness, and matroid minors\.**
  

*J\. Combin\. Theory Ser\. B*, 123:1–31, 2017\.
  

[arXiv:1408\.1262](https://arxiv.org/abs/1408.1262), [doi:10\.1016/j\.jctb\.2016\.11\.002](https://doi.org/10.1016/j.jctb.2016.11.002)\.  
[276] P\. Grohs, G\. Kutyniok, J\. Ma, and P\. Petersen\.
  

**Anisotropic multiscale systems on bounded domains\.**
  

preprint, 2015\.
  

[arXiv:1510\.04538](https://arxiv.org/abs/1510.04538)\.  
[277] Philipp Grohs, Sandra Keiper, Gitta Kutyniok, and Martin Schäfer\.
  

**α\-Molecules\.**
  

preprint, July 2014\.
  

[arXiv:1407\.4424](https://arxiv.org/abs/1407.4424)\.  
[278] Philipp Grohs and Gitta Kutyniok\.
  

**Parabolic molecules\.**
  

*Found\. Comput\. Math\.*, 14\(2\):299–337, 2014\.
  

[doi:10\.1007/s10208\-013\-9170\-z](https://doi.org/10.1007/s10208-013-9170-z)\.  
[279] Oliver Gross, Ulrich Pinkall, and Peter Schröder\.
  

**Plasma Knots\.**
  

*Physics Letters A*, August 2023\.
  

URL: [https://www\.sciencedirect\.com/science/article/abs/pii/S0375960123003663](https://www.sciencedirect.com/science/article/abs/pii/S0375960123003663)\.  
[280] Oliver Gross, Yousuf Soliman, Marcel Padilla, Felix Knöppel, Ulrich Pinkall, and Peter Schröder\.
  

**Motion from Shape Change\.**
  

*ACM Transactions on Graphics*, July 2023\.
  

URL: [https://olligross\.github\.io/projects/MotionFromShapeChange/MotionFromShapeChange\_project\.html](https://olligross.github.io/projects/MotionFromShapeChange/MotionFromShapeChange_project.html), [doi:10\.1145/3592417](https://doi.org/10.1145/3592417)\.  
[281] Romain Grunert\.
  

**Piecewise linear Morse theory\.**
  

Dissertation, Freie Universität Berlin, 2017\.
  

URL: [https://refubium\.fu\-berlin\.de/handle/fub188/12531](https://refubium.fu-berlin.de/handle/fub188/12531)\.  
[282] Romain Grunert, Wolfgang Kühnel, and Günter Rote\.
  

**PL Morse theory in low dimensions\.**
  

*Advances in Geometry*, January 2023\.
  

URL: [http://page\.mi\.fu\-berlin\.de/rote/Papers/pdf/PL\+Morse\+theory\+in\+low\+dimensions\.pdf](http://page.mi.fu-berlin.de/rote/Papers/pdf/PL+Morse+theory+in+low+dimensions.pdf)\.  
[283] Romain Grunert, Wolfgang Kühnel, and Günter Rote\.
  

**Pl Morse theory in low dimensions\.**
  

*Advances in Geometry*, 23\(1\):135–150, January 2023\.
  

URL: [http://doi\.org/10\.1515/advgeom\-2022\-0027](http://doi.org/10.1515/advgeom-2022-0027), [arXiv:1912\.05054](https://arxiv.org/abs/1912.05054)\.  
[284] J\. Guckenheimer and C\. Kuehn\.
  

**Homoclinic orbits of the FitzHugh\-Nagumo equation: Bifurcations in the full system\.**
  

*SIAM J\. Appl\. Dyn\. Syst\.*, 9:138–153, 2010\.
  
  
[285] Felix Günther\.
  

**Discrete Riemann surfaces and integrable systems\.**
  

Dissertation, TU Berlin, September 2014\.
  

URL: [http://opus4\.kobv\.de/opus4\-tuberlin/frontdoor/index/index/docId/5659](http://opus4.kobv.de/opus4-tuberlin/frontdoor/index/index/docId/5659)\.  
[286] Felix Günther, Caigui Jiang, and Helmut Pottmann\.
  

**Smooth polyhedral surfaces\.**
  

*preprint*, March 2017\.
  

[arXiv:1703\.05318](https://arxiv.org/abs/1703.05318)\.  
[287] H\. Dietert, J\. Keller and S\. Troppmann\.
  

**An invariant class of Hermite type multivariate polynomials for the Wigner transform\.**
  

22pp, 2015\.
  

[arXiv:1505\.06192](https://arxiv.org/abs/1505.06192)\.  
[288] Christian Haase, Martina Juhnke\-Kubitzke, Raman Sanyal, and Thorsten Theobald\.
  

**Mixed Ehrhart polynomials\.**
  

*Electron\. J\. Combin\.*, 24\(Issue 1\):Paper \#P1\.10, 2017\.
  

URL: [http://www\.combinatorics\.org/ojs/index\.php/eljc/article/view/v24i1p10](http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i1p10), [arXiv:1509\.02254](https://arxiv.org/abs/1509.02254)\.  
[289] Simon Hampe and Michael Joswig\.
  

**Tropical computations in polymake\.**
  

In Gebhard Böckle, Wolfram Decker, and Gunter Malle, editors, Algorithmic and experimental methods in algebra, geometry, and number theory, pages 361–385\.
Springer, Cham, 2017\.
  

[arXiv:1612\.02581](https://arxiv.org/abs/1612.02581)\.  
[290] Simon Hampe, Michael Joswig, and Benjamin Schröter\.
  

**Algorithms for Tight Spans and Tropical Linear Spaces\.**
  

*Journal of Symbolic Computation*, 2018\.
Proceedings of MEGA 2017\.
  

[arXiv:1612\.03592](https://arxiv.org/abs/1612.03592), [doi:10\.1016/j\.jsc\.2018\.06\.016](https://doi.org/10.1016/j.jsc.2018.06.016)\.  
[291] R\. Haraway, R\. Löwe, D\. Tate, and S\. Tillmann\.
  

**On Moduli Spaces of Convex Projective Structures on Surfaces: Outitude and Cell\-Decomposition in Fock\-Goncharov Coordinates\.**
  

Preprint, 2019\.
  

[arXiv:1911\.04176](https://arxiv.org/abs/1911.04176)\.  
[292] Anna Hartkopf, Stefan Auerbach, and Martin Skrodzki\.
  

**Polytopia\.**
  

February 2024\.
Adopt a Polyeder\.
  

URL: [https://www\.polytopia\.eu/](https://www.polytopia.eu/)\.  
[293] Anna M Hartkopf\.
  

**Developments towards Mathematical Citizen Science\.**
  

In Forum Citizen Science 2019, 53–58\. OSF, September 2019\.
  

[doi:10\.17605/OSF\.IO/WBS8Y](https://doi.org/10.17605/OSF.IO/WBS8Y)\.  
[294] Anna M\. Hartkopf\.
  

**Citizen Art – Collective Mathematical Art to Raise the Public Awareness of Mathematics\.**
  

In Susan Goldstine, Douglas McKenna, and Kristóf Fenyvesi, editors, Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, 355–358\. Phoenix, Arizona, 2019\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2019/bridges2019\-355\.pdf](http://archive.bridgesmathart.org/2019/bridges2019-355.pdf)\.  
[295] Anna Maria Hartkopf\.
  

**Mathematical Science Communication\.**
  

Dissertation, Freie Universität Berlin, 2020\.
  

[doi:10\.17169/refubium\-28451](https://doi.org/10.17169/refubium-28451)\.  
[296] Anna Maria Hartkopf and Erin Henning\.
  

**Über die Wissenschaft der Wissenschaftskommunikation in Mathematik\.**
  

*Mitteilungen der Deutschen Mathematiker\-Vereinigung*, 30\(4\):261–265, December 2022\.
  

URL: [https://doi\.org/10\.1515/dmvm\-2022\-0084](https://doi.org/10.1515/dmvm-2022-0084)\.  
[297] Anna Maria Hartkopf and Erin Henning\.
  

**Handbook of Mathematical Science Communication\.**
World Scientific Series on Science Communication\.
  

World Scientific, January 2023\.
  

URL: [https://doi\.org/10\.1142/12747](https://doi.org/10.1142/12747)\.  
[298] Anna Maria Hartkopf and Günter M\. Ziegler\.
  

**Adopt a Polyhedron \- A Citizen Art Project in Mathematics\.**
  

In Eve Torrence, Bruce Torrence, Carlo Séquin, and Kristóf Fenyvesi, editors, Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, 579–584\. Phoenix, Arizona, 2018\. Tessellations Publishing\.
  
  
[299] Sven Herrmann and Michael Joswig\.
  

**Totally splittable polytopes\.**
  

*Discrete Comput\. Geom\.*, 44\(1\):149–166, 2010\.
  

[arXiv:0901\.0231](https://arxiv.org/abs/0901.0231), [doi:10\.1007/s00454\-009\-9217\-8](https://doi.org/10.1007/s00454-009-9217-8)\.  
[300] Klaus Hildebrandt and Konrad Polthier\.
  

**Generalized shape operators on polyhedral surfaces\.**
  

*Computer Aided Geometric Design*, 28\(5\):321 – 343, 2011\.
  

URL: [http://www\.sciencedirect\.com/science/article/pii/S0167839611000628](http://www.sciencedirect.com/science/article/pii/S0167839611000628), [doi:10\.1016/j\.cagd\.2011\.05\.001](https://doi.org/10.1016/j.cagd.2011.05.001)\.  
[301] Klaus Hildebrandt and Konrad Polthier\.
  

**On approximation of the Laplace\-Beltrami operator and the Willmore energy of surfaces\.**
  

*Computer Graphics Forum*, 30\(5\):1513–1520, 2011\.
  

[doi:10\.1111/j\.1467\-8659\.2011\.02025\.x](https://doi.org/10.1111/j.1467-8659.2011.02025.x)\.  
[302] Klaus Hildebrandt, Konrad Polthier, and Max Wardetzky\.
  

**On the convergence of metric and geometric properties of polyhedral surfaces\.**
  

*Geometriae Dedicata*, 123\(1\):89–112, 2006\.
  
  
[303] Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, and Konrad Polthier\.
  

**Modal shape analysis beyond Laplacian\.**
  

*Computer Aided Geometric Design*, 29\(5\):204–218, 2012\.
  

[doi:10\.1016/j\.cagd\.2012\.01\.001](https://doi.org/10.1016/j.cagd.2012.01.001)\.  
[304] Tim Hoffmann, Shimpei Kobayashi, and Zi Ye\.
  

**Discrete Constant Mean Curvature Surfaces on General Graphs\.**
  

*Geometriae Dedicata*, 2022\.
  

[arXiv:2003\.07286](https://arxiv.org/abs/2003.07286), [doi:10\.1007/s10711\-022\-00733\-3](https://doi.org/10.1007/s10711-022-00733-3)\.  
[305] Tim Hoffmann and Andrew O\. Sageman\-Furnas\.
  

**A $2 \\times 2$ Lax Representation, Associated Family, and Bäcklund Transformation for Circular K\-Nets\.**
  

*Discrete & Computational Geometry*, 56\(2\):472–501, September 2016\.
  

[arXiv:1510\.06654](https://arxiv.org/abs/1510.06654), [doi:10\.1007/s00454\-016\-9802\-6](https://doi.org/10.1007/s00454-016-9802-6)\.  
[306] Tim Hoffmann, Andrew O\. Sageman\-Furnas, and Jannik Steinmeier\.
  

**Skew parallelogram nets and universal factorization\.**
  

preprint, January 2024\.
  

[arXiv:2401\.08467](https://arxiv.org/abs/2401.08467)\.  
[307] Tim Hoffmann, Andrew O\. Sageman\-Furnas, and Max Wardetzky\.
  

**A Discrete Parametrized Surface Theory in $\\mathbb R^3$\.**
  

*International Mathematics Research Notices*, 2017\(14\):4217–4258, 2017\.
  

[arXiv:1412\.7293](https://arxiv.org/abs/1412.7293), [doi:10\.1093/imrn/rnw015](https://doi.org/10.1093/imrn/rnw015)\.  
[308] Tim Hoffmann, Wolfgang K Schief, and Jannik Steinmeier\.
  

**On Discrete Conjugate Semi\-Geodesic Nets\.**
  

*International Mathematics Research Notices*, June 2022\.
  

[doi:10\.1093/imrn/rnaa394](https://doi.org/10.1093/imrn/rnaa394)\.  
[309] Tim Hoffmann and Gudrun Szewieczek\.
  

**Isothermic nets with spherical parameter lines from discrete holomorphic maps\.**
  

preprint, March 2024\.
  

[arXiv:2403\.13476](https://arxiv.org/abs/2403.13476)\.  
[310] Tim Hoffmann and Zi Ye\.
  

**A discrete extrinsic and intrinsic Dirac operator\.**
  

*J\. Exp\. Math\.*, 2020\.
  

[arXiv:1802\.06278](https://arxiv.org/abs/1802.06278), [doi:10\.1080/10586458\.2020\.1727798](https://doi.org/10.1080/10586458.2020.1727798)\.  
[311] Florian Hofherr, Lukas Koestler, Florian Bernard, and Daniel Cremers\.
  

**Neural Implicit Representations for Physical Parameter Inference From a Single Video\.**
  

*Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision*, pages 2093–2103, 2023\.
  

[arXiv:2204\.14030](https://arxiv.org/abs/2204.14030)\.  
[312] Emanuel Huhnen\-Venedey\.
  

**Cyclidic and hyperbolic nets: A piecewise smooth discretization of orthogonal and asymptotic nets in discrete differential geometry\.**
  

Dissertation, TU Berlin, 2014\.
  
  
[313] Emanuel Huhnen\-Venedey and Thilo Rörig\.
  

**Discretization of asymptotic line parametrizations using hyperboloid surface patches\.**
  

*Geometriae Dedicata*, 168\(1\):265–289, February 2014\.
  

[arXiv:1112\.3508](https://arxiv.org/abs/1112.3508), [doi:10\.1007/s10711\-013\-9830\-9](https://doi.org/10.1007/s10711-013-9830-9)\.  
[314] Emanuel Huhnen\-Venedey and Wolfgang K\. Schief\.
  

**On Weingarten Transformations of Hyperbolic Nets\.**
  

*International Mathematics Research Notices*, 2014\.
  

URL: [http://imrn\.oxfordjournals\.org/content/early/2014/01/24/imrn\.rnt354\.abstract](http://imrn.oxfordjournals.org/content/early/2014/01/24/imrn.rnt354.abstract), [arXiv:1305\.4783](https://arxiv.org/abs/1305.4783), [doi:10\.1093/imrn/rnt354](https://doi.org/10.1093/imrn/rnt354)\.  
[315] Felix Hummel, Samuel Jelbart, and Christian Kuehn\.
  

**Geometric blow\-up of a dynamic Turing instability in the Swift\-Hohenberg equation\.**
  

preprint, July 2022\.
  

[arXiv:2207\.03967](https://arxiv.org/abs/2207.03967)\.  
[316] M\. Iwen, S\. Dirksen, J\. Maly, and S\. Krause\-Solberg\.
  

**Robust One\-bit Compressed Sensing With Manifold Data\.**
  

In Proc\. Intl\. Conf\. on Sampling Theory and Applications \(SampTA '19\)\. September 2019\.
  

URL: [https://sampta2019\.sciencesconf\.org/267528/document](https://sampta2019.sciencesconf.org/267528/document)\.  
[317] Mark A\. Iwen, Felix Krahmer, Sara Krause\-Solberg, and Johannes Maly\.
  

**On Recovery Guarantees for One\-Bit Compressed Sensing on Manifolds\.**
  

*preprint*, July 2018\.
  

[arXiv:arXiv:1807\.06490v1](https://arxiv.org/abs/arXiv:1807.06490v1)\.  
[318] Ivan Izmestiev, Robert B\. Kusner, Günter Rote, Boris Springborn, and John M\. Sullivan\.
  

**There is no triangulation of the torus with vertex degrees 5, 6, \.\.\. , 6, 7 and related results: geometric proofs for combinatorial theorems\.**
  

*Geometriae Dedicata*, 166\(1\):15–29, October 2013\.
  

[arXiv:1207\.3605](https://arxiv.org/abs/1207.3605), [doi:10\.1007/s10711\-012\-9782\-5](https://doi.org/10.1007/s10711-012-9782-5)\.  
[319] J\. Keller, C\. Lasser and T\. Ohsawa\.
  

**A new phase space density for quantum expectations\.**
  

24pp, 2015\.
  

[arXiv:1506\.08880](https://arxiv.org/abs/1506.08880)\.  
[320] H\. Jardon\-Kojakhmetov and C\. Kuehn\.
  

**A survey on the blow\-up method for fast\-slow systems\.**
  

Preprint, 2019\.
  

[arXiv:1901\.01402](https://arxiv.org/abs/1901.01402)\.  
[321] Hildeberto Jardón\-Kojakhmetov and Christian Kuehn\.
  

**On fast\-slow consensus networks with a dynamic weight\.**
  

preprint, April 2019\.
  

[arXiv:1904\.02690](https://arxiv.org/abs/1904.02690)\.  
[322] S\. Jelbart\.
  

**Rate and bifurcation induced transitions in asymptotically slow\-fast systems\.**
  

preprint, January 2024\.
  

[arXiv:2401\.08482](https://arxiv.org/abs/2401.08482)\.  
[323] S\. Jelbart and C\. Kuehn\.
  

**Extending discrete geometric singular perturbation theory to non\-hyperbolic points\.**
  

preprint, August 2023\.
  

[arXiv:2308\.06141](https://arxiv.org/abs/2308.06141)\.  
[324] Samuel Jelbart, Kristian Uldall Kristiansen, and Martin Wechselberger\.
  

**Singularly perturbed boundary\-equilibrium bifurcations\.**
  

*Nonlinearity*, March 2021\.
  

[arXiv:2103\.09613](https://arxiv.org/abs/2103.09613)\.  
[325] Samuel Jelbart and Christian Kuehn\.
  

**Discrete Geometric Singular Perturbation Theory\.**
  

*Discrete and Continuous Dynamical Systems*, January 2022\.
  

[arXiv:2201\.06996](https://arxiv.org/abs/2201.06996)\.  
[326] Samuel Jelbart and Christian Kuehn\.
  

**A Formal Geometric Blow\-up Method for Pattern Forming Systems\.**
  

preprint, February 2023\.
  

[arXiv:2302\.06343](https://arxiv.org/abs/2302.06343)\.  
[327] Samuel Jelbart, Sara\-Viola Kuntz, and Christian Kuehn\.
  

**Geometric blow\-up for folded limit cycle manifolds in three time\-scale systems\.**
  

*Nonlinear Science*, August 2022\.
  

[arXiv:2208\.01361](https://arxiv.org/abs/2208.01361)\.  
[328] Samuel Jelbart, Nathan Pages, Vivien Kirk, James Sneyd, and Martin Wechselberger\.
  

**Process\-oriented geometric singular perturbation theory and calcium dynamics\.**
  

*SIAM Journal on Applied Dynamical Systems*, September 2021\.
  

[arXiv:2104\.07304](https://arxiv.org/abs/2104.07304)\.  
[329] Caigui Jiang, Klara Mundilova, Florian Rist, Johannes Wallner, and Helmut Pottmann\.
  

**Curve\-pleated Structures\.**
  

*ACM Trans\. Graph\.*, 38\(6\):169:1–169:13, November 2019\.
  

[doi:10\.1145/3355089\.3356540](https://doi.org/10.1145/3355089.3356540), [dgd:608](https://www.discretization.de/publications/file/608)\.  
[330] Caigui Jiang, Chengcheng Tang, Marko Tomičić, Johannes Wallner, and Helmut Pottmann\.
  

**Interactive modeling of architectural freeform structures \- combining geometry with fabrication and statics\.**
  

In P\. Block, J\. Knippers, and W\. Wang, editors, Advances in Architectural Geometry\.
Springer, 2014\.
  
  
[331] Caigui Jiang, Chengcheng Tang, Amir Vaxman, Peter Wonka, and Helmut Pottmann\.
  

**Polyhedral Patterns\.**
  

*ACM Trans\. Graphics*, 2015\.
Proc\. SIGGRAPH Asia\.
  
  
[332] Caigui Jiang, Jun Wang, Johannes Wallner, and Helmut Pottmann\.
  

**Freeform Honeycomb Structures\.**
  

*Comput\. Graph\. Forum*, 33\(5\):185–194, 2014\.
Proc\. Symposium Geometry Processing\.
  

[doi:10\.1111/cgf\.12444](https://doi.org/10.1111/cgf.12444)\.  
[333] Fernando Jimenez and Juergen Scheurle\.
  

**On the discretization of nonholonomic dynamics in $\\mathbb R^n$\.**
  

*J\. Geom\. Mechanics, 7\(1\):43\-80*, 2015\.
  

[arXiv:1407\.2116](https://arxiv.org/abs/1407.2116)\.  
[334] Michael R\. Jimenez, Christian Müller, and Helmut Pottmann\.
  

**Discretizations of Surfaces with Constant Ratio of Principal Curvatures\.**
  

*Discrete Comput\. Geom\.*, 2019\.
accepted for publication\.
  

URL: [http://www\.geometrie\.tuwien\.ac\.at/ig/publications/constratio/constratio\.pdf](http://www.geometrie.tuwien.ac.at/ig/publications/constratio/constratio.pdf), [doi:10\.1007/s00454\-019\-00098\-7](https://doi.org/10.1007/s00454-019-00098-7)\.  
[335] F\. Jiménez\.
  

**Hamilton\-Dirac systems for charged particles in gauge fields\.**
  

*J\. Geom\. Phys\., 94:35\-49*, 2015\.
  

[arXiv:1410\.3249](https://arxiv.org/abs/1410.3249)\.  
[336] F\. Jiménez and J\. Scheurle\.
  

**On the discretization of the Euler\-Poincaré\-Suslov equations in $SO\(3\)$\.**
  

preprint, 2015\.
  

[arXiv:1506\.01289](https://arxiv.org/abs/1506.01289)\.  
[337] Fernando Jiménez and Hiroaki Yoshimura\.
  

**Dirac Structures in Vakonomic Mechanics\.**
  

*J\. Geom\. Phys\.*, 2015\.
accepted\.
  

[arXiv:1405\.5394](https://arxiv.org/abs/1405.5394)\.  
[338] Katharina Jochemko and Raman Sanyal\.
  

**Combinatorial positivity of translation\-invariant valuations and a discrete Hadwiger theorem\.**
  

accepted for publication, preprint on arxiv, 2015\.
  

[arXiv:1505\.07440](https://arxiv.org/abs/1505.07440)\.  
[339] Katharina Jochemko and Raman Sanyal\.
  

**Combinatorial mixed valuations\.**
  

*Advances in Mathematics*, 319:630–652, 2017\.
  

[arXiv:1605\.07431](https://arxiv.org/abs/1605.07431), [doi:10\.1016/j\.aim\.2017\.08\.032](https://doi.org/10.1016/j.aim.2017.08.032)\.  
[340] Charles Jordan, Michael Joswig, and Lars Kastner\.
  

**Parallel enumeration of triangulations\.**
  

*Electron\. J\. Combin\.*, 25\(3\):Paper 3\.6, 27, 2018\.
  

URL: [http://www\.combinatorics\.org/ojs/index\.php/eljc/article/view/v25i3p6](http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i3p6), [arXiv:1709\.04746](https://arxiv.org/abs/1709.04746)\.  
[341] Michael Joswig, Joe Kileel, Bernd Sturmfels, and André Wagner\.
  

**Rigid multiview varieties\.**
  

*International Journal of Algebra and Computation*, 26\(04\):775–788, 2016\.
  

[arXiv:1509\.03257](https://arxiv.org/abs/1509.03257), [doi:10\.1142/S021819671650034X](https://doi.org/10.1142/S021819671650034X)\.  
[342] Michael Joswig and Georg Loho\.
  

**Weighted digraphs and tropical cones\.**
  

*Linear Algebra and its Applications*, 501:304–343, 2016\.
  

[arXiv:1503\.04707](https://arxiv.org/abs/1503.04707), [doi:10\.1016/j\.laa\.2016\.02\.027](https://doi.org/10.1016/j.laa.2016.02.027)\.  
[343] Michael Joswig and Georg Loho\.
  

**Monomial tropical cones for multicriteria optimization\.**
  

Preprint, 2017\.
  

[arXiv:1707\.09305](https://arxiv.org/abs/1707.09305)\.  
[344] Michael Joswig, Robert Löwe, and Boris Springborn\.
  

**Secondary fans and secondary polyhedra of punctured Riemann surfaces\.**
  

*Exp\. Math\.*, 2019\.
  

[arXiv:1708\.08714](https://arxiv.org/abs/1708.08714), [doi:10\.1080/10586458\.2018\.1477078](https://doi.org/10.1080/10586458.2018.1477078)\.  
[345] Michael Joswig, Milan Mehner, Stefan Sechelmann, Jan Techter, and Alexander I\. Bobenko\.
  

**DGD Gallery: Storage, sharing, and publication of digital research data\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[doi:10\.1007/978\-3\-662\-50447\-5\_14](https://doi.org/10.1007/978-3-662-50447-5_14), [dgd:208](https://www.discretization.de/publications/file/208)\.  
[346] Michael Joswig and Marc E\. Pfetsch\.
  

**Computing optimal Morse matchings\.**
  

*SIAM J\. Discrete Math\.*, 20\(1\):11–25 \(electronic\), 2006\.
  

[arXiv:math/0408331](https://arxiv.org/abs/math/0408331), [doi:10\.1137/S0895480104445885](https://doi.org/10.1137/S0895480104445885)\.  
[347] Michael Joswig and Konrad Polthier\.
  

**EG\-Models \- a New Journal for Digital Geometry Models\.**
  

In J\. Borwein, M\. Morales, K\. Polthier, and J\.F\. Rodrigues, editors, Multimedia Tools for Communicating Mathematics, pages 165–190\.
Springer, 2002\.
  
  
[348] Michael Joswig and Thilo Rörig\.
  

**Polytope mit vielen Splits und ihre Sekundärfächer\.**
  

*Math\. Semesterber\.*, 59\(2\):145–152, 2012\.
  

[doi:10\.1007/s00591\-012\-0102\-9](https://doi.org/10.1007/s00591-012-0102-9)\.  
[349] Michael Joswig and Benjamin Schröter\.
  

**Matroids from hypersimplex splits\.**
  

*Journal of Combinatorial Theory, Series A*, 151:254–284, 2017\.
  

[arXiv:1607\.06291](https://arxiv.org/abs/1607.06291), [doi:10\.1016/j\.jcta\.2017\.05\.001](https://doi.org/10.1016/j.jcta.2017.05.001)\.  
[350] Michael Joswig and Benjamin Schrüter\.
  

**The degree of a tropical basis\.**
  

*Proc\. Amer\. Math\. Soc\.*, 146\(3\):961–970, 2018\.
  

[arXiv:1511\.08123](https://arxiv.org/abs/1511.08123), [doi:10\.1090/proc/13787](https://doi.org/10.1090/proc/13787)\.  
[351] Michael Joswig and Ben Smith\.
  

**Polyhedral Tropical Geometry of Higher Rank\.**
  

preprint, 2018\.
  

[arXiv:1809\.01457](https://arxiv.org/abs/1809.01457)\.  
[352] Michael Joswig and Thorsten Theobald\.
  

**Polyhedral and algebraic methods in computational geometry\.**
Universitext\.
  

Springer, London, 2013\.
ISBN 978\-1\-4471\-4816\-6; 978\-1\-4471\-4817\-3\.
Revised and updated translation of the 2008 German original\.
  

[doi:10\.1007/978\-1\-4471\-4817\-3](https://doi.org/10.1007/978-1-4471-4817-3)\.  
[353] Michael Joswig and Günter M\. Ziegler\.
  

**Foldable triangulations of lattice polygons\.**
  

*Amer\. Math\. Monthly*, 121\(8\):706–710, 2014\.
  

[arXiv:1207\.6865](https://arxiv.org/abs/1207.6865), [doi:10\.4169/amermathmont\.121\.08\.706](https://doi.org/10.4169/amermathmont.121.08.706)\.  
[354] Daniel Matthes José A\. Carrillo, Bertram Düring and David S\. McCormick\.
  

**A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes\.**
  

*Journal of Scientific Computing, June 2018, Volume 75, Issue 3, pp 1463–1499*, November 2017\.
  

[doi:10\.1007/s10915\-017\-0594\-5](https://doi.org/10.1007/s10915-017-0594-5)\.  
[355] Oliver Junge and Ioannis G Kevrekidis\.
  

**On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems\.**
  

*Chaos: An Interdisciplinary Journal of Nonlinear Science, Nr\. 6, Volume 27*, June 2017\.
  

[doi:10\.1063/1\.4983468](https://doi.org/10.1063/1.4983468)\.  
[356] Oliver Junge and Benjamin Söllner\.
  

**A convergent Lagrangian discretization for $p$\-Laplace and flux\-limited diffusion equations\.**
  

preprint, 2019\.
  

[arXiv:1906\.01321](https://arxiv.org/abs/1906.01321)\.  
[357] D\. Jüstel\.
  

**The Zak transform on strongly proper G\-spaces and its applications\.**
  

*Journal of the London Math\. Society*, 97:47–76, 2017\.
  

[doi:10\.1112/jlms\.12097](https://doi.org/10.1112/jlms.12097)\.  
[358] K\. Crane, U\. Pinkall and P\. Schröder\.
  

**Robust fairing via conformal curvature flow\.**
  

*ACM Trans\. Graph, 32\(4\):61:1–61:10*, July 2013\.
  
  
[359] G\. Kamberov, F\. Pedit, and U\. Pinkall\.
  

**Bonnet pairs and isothermic surfaces\.**
  

*Duke Math\. J\.*, 92\(3\):637–644, April 1998\.
  

[arXiv:dg\-ga/9610006](https://arxiv.org/abs/dg-ga/9610006), [doi:10\.1215/S0012\-7094\-98\-09219\-5](https://doi.org/10.1215/S0012-7094-98-09219-5)\.  
[360] Günter M\. Ziegler Karim Adiprasito\.
  

**Many projectively unique polytopes\.**
  

*Inventiones math\.*, 199:581–652, 2015\.
  

[arXiv:1212\.5812](https://arxiv.org/abs/1212.5812), [doi:10\.1007/s00222\-014\-0519\-y](https://doi.org/10.1007/s00222-014-0519-y)\.  
[361] Oleg Karpenkov, Christian Müller, Gaiane Panina, Brigitte Servatius, Herman Servatius, and Dirk Siersma\.
  

**Equilibrium stressability of multidimensional frameworks\.**
  

*Eur\. J\. Math\.*, 8\(1\):33–61, 2022\.
  

[doi:10\.1007/s40879\-021\-00523\-3](https://doi.org/10.1007/s40879-021-00523-3)\.  
[362] Oleg Karpenkov and Christian Mueller\.
  

**Geometric criteria for realizability of tensegrities in higher dimensions\.**
  

*SIAM J\. Discrete Math\.*, 35\(2\):637–660, 2021\.
  

[doi:10\.1137/19M1281903](https://doi.org/10.1137/19M1281903)\.  
[363] Oleg Karpenkov and Johannes Wallner\.
  

**On offsets and curvatures for discrete and semidiscrete surfaces\.**
  

*Beitr\. Algebra Geom\.*, 55:207–228, 2014\.
  

[doi:10\.1007/s13366\-013\-0146\-6](https://doi.org/10.1007/s13366-013-0146-6)\.  
[364] Lars Kastner and Robert Löwe\.
  

**The Newton polytope of the discriminant of a cubic quaternary form\.**
  

Preprint, 2019\.
  

[arXiv:1909\.08910](https://arxiv.org/abs/1909.08910)\.  
[365] S\. Keiper, G\. Kutyniok, D\. G\. Lee, and G\. E\. Pfander\.
  

**Compressed sensing for finite\-valued signals\.**
  

*Linear Algebra and its Applications*, 532:570–613, November 2017\.
  

[arXiv:1609\.09450](https://arxiv.org/abs/1609.09450), [doi:10\.1016/j\.laa\.2017\.07\.006](https://doi.org/10.1016/j.laa.2017.07.006)\.  
[366] Sandra Keiper\.
  

**Approximation of generalized ridge functions in high dimensions\.**
  

*Journal of Approximation Theory*, 245:101–129, 2019\.
  

[doi:10\.1016/j\.jat\.2019\.04\.006](https://doi.org/10.1016/j.jat.2019.04.006)\.  
[367] J\. Keller\.
  

**Quantum Dynamics on Potential Energy Surfaces\-Simpler States and Simpler Dynamics\.**
  

Dissertation, TU München, October 2015\.
  

[dgd:187](https://www.discretization.de/publications/file/187)\.  
[368] Johannes Keller and Caroline Lasser\.
  

**Propagation of Quantum Expectations with Husimi Functions\.**
  

*SIAM Journal on Applied Mathematics*, 73\(4\):1557–1581, July 2013\.
  

[arXiv:1207\.7211](https://arxiv.org/abs/1207.7211), [doi:10\.1137/120889186](https://doi.org/10.1137/120889186)\.  
[369] Johannes Keller and Caroline Lasser\.
  

**Quasi\-classical description of molecular dynamics based on Egorov's theorem\.**
  

*The Journal of Chemical Physics*, August 2014\.
  

[arXiv:1405\.7355](https://arxiv.org/abs/1405.7355), [doi:10\.1063/1\.4891517](https://doi.org/10.1063/1.4891517)\.  
[370] Martin Kilian, Antonio S Ramos Cisneros, Helmut Pottmann, and Christian Müller\.
  

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*ACM Trans\. Graphics*, 2023\.
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[doi:10\.1145/3618345](https://doi.org/10.1145/3618345)\.  
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**Smooth and discrete cone\-nets\.**
  

*Results Math\.*, 78\(3\):Paper No\. 110, 40, 2023\.
  

[doi:10\.1007/s00025\-023\-01884\-9](https://doi.org/10.1007/s00025-023-01884-9)\.  
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**Material\-minimizing forms and structures\.**
  

*ACM Trans\. Graphics*, 36\(6\):article 173, 2017\.
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[doi:10\.1145/3130800\.3130827](https://doi.org/10.1145/3130800.3130827)\.  
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**Construction of compactly supported shearlet frames\.**
  

*Constr\. Approx\.*, 35\(1\):21–72, 2012\.
  

[arXiv:1003\.5481](https://arxiv.org/abs/1003.5481), [doi:10\.1007/s00365\-011\-9142\-y](https://doi.org/10.1007/s00365-011-9142-y)\.  
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**Complex Line Bundles over Simplicial Complexes\.**
  

Dissertation, TU Berlin, 2015\.
  

[dgd:191](https://www.discretization.de/publications/file/191)\.  
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**Stripe patterns on surfaces\.**
  

*ACM Trans\. Graph\., 34\(4\):39:1–39:11*, July 2015\.
  
  
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**Complex Line Bundles over Simplicial Complexes and their Applications\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
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[arXiv:1506\.07853](https://arxiv.org/abs/1506.07853)\.  
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**Globally optimal direction fields\.**
  

*ACM Trans\. Graph\.*, 2013\.
  

URL: [http://www\.cs\.columbia\.edu/~keenan/Projects/GloballyOptimalDirectionFields/paper\.pdf](http://www.cs.columbia.edu/~keenan/Projects/GloballyOptimalDirectionFields/paper.pdf)\.  
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**Complex Polynomial Mandalas and their Symmetries\.**
  

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**Adopt a polyhedron\.**
  

*Chalkdust*, April 2020\.
  

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**Grundlagen Dynamischer Geometrie\.**
  

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**Using automatic theorem proving to improve the usability of geometry software\.**
  

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URL: [http://www\.science\-to\-touch\.com/DGD](http://www.science-to-touch.com/DGD)\.  
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**A variational principle for cyclic polygons with prescribed edge lengths\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
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[arXiv:1506\.08069](https://arxiv.org/abs/1506.08069)\.  
[384] Hana Kourimská\.
  

**Polyhedral surfaces of constant curvature and discrete uniformization\.**
  

Dissertation, TU Berlin, March 2020\.
  

[doi:10\.14279/depositonce\-9883](https://doi.org/10.14279/depositonce-9883)\.  
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**Discrete Yamabe problem for polyhedral surfaces\.**
  

Preprint, 2019\.
  

[doi:10\.14279/depositonce\-9001\.3](https://doi.org/10.14279/depositonce-9001.3)\.  
[386] Hana Dal Poz Kouřimská\.
  

**Discrete Yamabe Problem for Polyhedral Surfaces\.**
  

*Discrete & Computational Geometry*, March 2023\.
  

[arXiv:2103\.15693](https://arxiv.org/abs/2103.15693), [doi:10\.1007/s00454\-023\-00484\-2](https://doi.org/10.1007/s00454-023-00484-2)\.  
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**Predicting sparse circle maps from their dynamics\.**
  

preprint, January 2020\.
  

[arXiv:1911\.06312](https://arxiv.org/abs/1911.06312)\.  
[388] F\. Krahmer, G\. Kutyniok, and J\. Lemvig\.
  

**Sparsity and spectral properties of dual frames\.**
  

*Linear Algebra and its Applications*, 439\(4\):982 – 998, 2013\.
  

URL: [http://num\.math\.uni\-goettingen\.de/~f\.krahmer/KKL12\.pdf](http://num.math.uni-goettingen.de/~f.krahmer/KKL12.pdf)\.  
[389] F\. Krahmer, C\. Kühn, and N\. Sissouno\.
  

**Predicting sparse circle maps from their dynamics\.**
  

preprint, 2019\.
  

[arXiv:1911\.06312](https://arxiv.org/abs/1911.06312)\.  
[390] F\. Krahmer, S\. Mendelson, and H\. Rauhut\.
  

**Suprema of Chaos Processes and the Restricted Isometry Property\.**
  

*Comm\. Pure Appl\. Math\.*, 67\(11\):1877–1904, 2014\.
  

URL: [http://num\.math\.uni\-goettingen\.de/~f\.krahmer/KMR12\.pdf](http://num.math.uni-goettingen.de/~f.krahmer/KMR12.pdf)\.  
[391] F\. Krahmer, R\. Saab, and R\. Ward\.
  

**Root\-exponential accuracy for coarse quantization of finite frame expansions\.**
  

*IEEE Trans\. Inform\. Theory*, 58\(2\):1069–1079, 2012\.
  

URL: [http://num\.math\.uni\-goettingen\.de/~f\.krahmer/KSW12\.pdf](http://num.math.uni-goettingen.de/~f.krahmer/KSW12.pdf)\.  
[392] F\. Krahmer, R\. Saab, and Ö\. Yilmaz\.
  

**Sigma\-Delta quantization of sub\-Gaussian frame expansions and its application to compressed sensing\.**
  

*Inform\. Inference*, 3\(1\):40–58, 2014\.
  

URL: [http://num\.math\.uni\-goettingen\.de/~f\.krahmer/KSY13](http://num.math.uni-goettingen.de/~f.krahmer/KSY13)\.  
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**Lower bounds for the error decay incurred by coarse quantization schemes\.**
  

*Appl\. Comput\. Harmonic Anal\.*, 32\(1\):131–138, 2012\.
  

URL: [http://num\.math\.uni\-goettingen\.de/~f\.krahmer/KW12\.pdf](http://num.math.uni-goettingen.de/~f.krahmer/KW12.pdf)\.  
[394] Stefan Kranich\.
  

**An epsilon\-delta bound for plane algebraic curves and its use for certified homotopy continuation of systems of plane algebraic curves\.**
  

preprint, May 2015\.
  

[arXiv:1505\.03432](https://arxiv.org/abs/1505.03432)\.  
[395] Stefan Kranich\.
  

**GPU\-based visualization of domain\-coloured algebraic Riemann surfaces\.**
  

preprint, July 2015\.
  

[arXiv:1507\.04571](https://arxiv.org/abs/1507.04571)\.  
[396] Stefan Kranich\.
  

**Generation of real algebraic loci via complex detours\.**
  

preprint, October 2015\.
  

[arXiv:1510\.05464](https://arxiv.org/abs/1510.05464)\.  
[397] Stefan Kranich\.
  

**Continuity in Dynamic Geometry: An Algorithmic Approach\.**
  

Dissertation, TU München, April 2016\.
  

URL: [http://nbn\-resolving\.de/urn/resolver\.pl?urn:nbn:de:bvb:91\-diss\-20160418\-1281075\-1\-5](http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:91-diss-20160418-1281075-1-5)\.  
[398] Max Krause and John M\. Sullivan\.
  

**Classification of small links in the unmarked solid torus\.**
  

Preprint, 2019\.
  
  
[399] Sara Krause\-Solberg, Olga Graf, and Felix Krahmer\.
  

**One\-Bit Sigma\-Delta Modulation on a Closed Loop\.**
  

*2018 IEEE Statistical Signal Processing Workshop \(SSP\)*, pages 208–212, August 2018\.
  

URL: [https://ieeexplore\.ieee\.org/document/8450721](https://ieeexplore.ieee.org/document/8450721), [doi:10\.1109/SSP\.2018\.8450721](https://doi.org/10.1109/SSP.2018.8450721)\.  
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**A survey of methods for computing \(un\)stable manifolds of vector fields\.**
  

*Internat\. J\. Bifur\. Chaos Appl\. Sci\. Engrg\.*, 15\(3\):763–791, 2005\.
  

[doi:10\.1142/S0218127405012533](https://doi.org/10.1142/S0218127405012533)\.  
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**Differential\-Based Geometry and Texture Editing with Brushes\.**
  

*J\. Math\. Imaging Vis\.*, 48\(2\):359–368, February 2014\.
  

[doi:10\.1007/s10851\-013\-0443\-6](https://doi.org/10.1007/s10851-013-0443-6)\.  
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**A mathematical framework for critical transitions: bifurcations, fast\-slow systems and stochastic dynamics\.**
  

*Physica D*, 240\(12\):1020–1035, 2011\.
  

[doi:10\.1016/j\.physd\.2011\.02\.012](https://doi.org/10.1016/j.physd.2011.02.012)\.  
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**Multiscale dynamics of an adaptive catalytic network model\.**
  

*Math\. Model\. Nat\. Pheno\.*, 14\(4\):402, 2019\.
  

[doi:10\.1051/mmnp/2019015](https://doi.org/10.1051/mmnp/2019015)\.  
[404] C\. Kuehn and C\. Münch\.
  

**Duck traps: two\-dimensional critical manifolds in planar systems\.**
  

*Dynamical Systems: An International Journal, Vol\. 34, No\. 4, pp\. 584\-612,*, February 2019\.
  

[doi:10\.1080/14689367\.2019\.1575337](https://doi.org/10.1080/14689367.2019.1575337)\.  
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**Multiscale geometry of the Olsen model and non\-classical relaxation oscillations\.**
  

*J\. Nonlinear Sci\.*, 25\(3\):583–629, 2015\.
  

[doi:10\.1007/s00332\-015\-9235\-z](https://doi.org/10.1007/s00332-015-9235-z)\.  
[406] Christian Kuehn\.
  

**Normal hyperbolicity and unbounded critical manifolds\.**
  

*Nonlinearity*, 27\(6\):1351–1366, may 2014\.
  

URL: [https://doi\.org/10\.1088%2F0951\-7715%2F27%2F6%2F1351](https://doi.org/10.1088%2F0951-7715%2F27%2F6%2F1351), [doi:10\.1088/0951\-7715/27/6/1351](https://doi.org/10.1088/0951-7715/27/6/1351)\.  
[407] Christian Kuehn\.
  

**Multiple time scale dynamics\.**
Volume 191 of Applied Mathematical Sciences\.
  

Springer, Cham, 2015\.
ISBN 978\-3\-319\-12315\-8; 978\-3\-319\-12316\-5\.
  

[doi:10\.1007/978\-3\-319\-12316\-5](https://doi.org/10.1007/978-3-319-12316-5)\.  
[408] Christian Kuehn\.
  

**PDE Dynamics\.**
Volume 23 of Mathematical Modeling and Computation\.
  

Society for Industrial and Applied Mathematics \(SIAM\), Philadelphia, PA, 2019\.
ISBN 978\-1\-61197\-565\-9; 978\-1\-61197\-566\-6\.
  

URL: [https://my\.siam\.org/Store/Product/viewproduct/?ProductId=30604306](https://my.siam.org/Store/Product/viewproduct/?ProductId=30604306)\.  
[409] Gitta Kutyniok and Wang\-Q Lim\.
  

**Compactly supported shearlets are optimally sparse\.**
  

*J\. Approx\. Theory*, 163\(11\):1564–1589, 2011\.
  

[arXiv:1002\.2661](https://arxiv.org/abs/1002.2661), [doi:10\.1016/j\.jat\.2011\.06\.005](https://doi.org/10.1016/j.jat.2011.06.005)\.  
[410] Gitta Kutyniok and Wang\-Q Lim\.
  

**Dualizable Shearlet Frames and Sparse Approximation\.**
  

preprint, 2014\.
  

[dgd:130](https://www.discretization.de/publications/file/130)\.  
[411] Gitta Kutyniok, Wang\-Q Lim, and Rafael Reisenhofer\.
  

**ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets\.**
  

Preprint, January 2014\.
  

[arXiv:1402\.5670](https://arxiv.org/abs/1402.5670), [dgd:49](https://www.discretization.de/publications/file/49)\.  
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**Regularization and Numerical Solution of the Inverse Scattering Problem using Shearlet Frames\.**
  

preprint, July 2014\.
  

[arXiv:1407\.7349](https://arxiv.org/abs/1407.7349)\.  
[413] Gitta Kutyniok and Philipp Petersen\.
  

**Classification of edges using compactly supported shearlets\.**
  

*Applied and Computational Harmonic Analysis*, 2015\.
  

[arXiv:1411\.5657](https://arxiv.org/abs/1411.5657), [doi:10\.1016/j\.acha\.2015\.08\.006](https://doi.org/10.1016/j.acha.2015.08.006)\.  
[414] Florian Käferböck\.
  

**Affine arc length polylines and curvature continuous uniform B\-splines\.**
  

*Computer\-Aided Geom\. Design*, 2014\.
  
  
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**Smooth surfaces from bilinear patches: discrete affine minimal surfaces\.**
  

*Computer\-Aided Geom\. Design*, 30:476–489, 2013\.
  
  
[416] Felix Kälberer, Matthias Nieser, and Konrad Polthier\.
  

**QuadCover \- Surface Parameterization using Branched Coverings\.**
  

*Comput\. Graph\. Forum*, 26\(3\):375–384, 2007\.
  
  
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**A Geometric Construction for the Associated Family of S–Isothermic CMC Surfaces\.**
  

Dissertation, TU München, September 2018\.
  

URL: [http://mediatum\.ub\.tum\.de?id=1368384](http://mediatum.ub.tum.de?id=1368384)\.  
[418] G\. Friesecke L\. De Luca\.
  

**Classification of Particle Numbers with Unique Heitmann\-Radin Minimizer\.**
  

*J\. Stat\. Phys\. 167, Issue 6, 1586–1592, 2017*, April 2017\.
  

URL: [https://link\.springer\.com/article/10\.1007/s10955\-017\-1781\-3](https://link.springer.com/article/10.1007/s10955-017-1781-3)\.  
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**Crystallization in two dimensions and a discrete Gauss\-Bonnet theorem\.**
  

*J Nonlinear Sci 28, 69\-90, 2017*, June 2017\.
  

URL: [https://link\.springer\.com/article/10\.1007%2Fs00332\-017\-9401\-6](https://link.springer.com/article/10.1007%2Fs00332-017-9401-6)\.  
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**Sparse multidimensional representation using shearlets\.**
  

*SPIE Proc\. 5914, SPIE, Bellingham*, pages 254–262, 2005\.
  

URL: [http://en\.wikipedia\.org/wiki/Bandelet\_\(computer\_science\)](http://en.wikipedia.org/wiki/Bandelet_(computer_science))\.  
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**Cambrian acyclic domains: counting $c$\-singletons\.**
  

Preprint, 2018\.
  

[arXiv:1802\.07978](https://arxiv.org/abs/1802.07978)\.  
[422] Jean\-Philippe Labbé, Günter Rote, and Günter M\. Ziegler\.
  

**Area difference bounds for dissections of a square into an odd number of triangles\.**
  

Preprint, August 2017\.
  

[arXiv:1708\.02891](https://arxiv.org/abs/1708.02891)\.  
[423] Elisa Lafuente Hernández, Stefan Sechelmann, Thilo Rörig, and Christoph Gengnagel\.
  

**Topology Optimisation of Regular and Irregular Elastic Gridshells by Means of a Non\-linear Variational Method\.**
  

In Lars Hesselgren, Shrikant Sharma, Johannes Wallner, Niccolo Baldassini, Philippe Bompas, and Jacques Raynaud, editors, Advances in Architectural Geometry 2012, pages 147–160\.
Springer Vienna, 2013\.
  

[doi:10\.1007/978\-3\-7091\-1251\-9\_11](https://doi.org/10.1007/978-3-7091-1251-9_11)\.  
[424] W\. Y\. Lam and U\. Pinkall\.
  

**Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  

[arXiv:1506\.08099](https://arxiv.org/abs/1506.08099)\.  
[425] W\.Y\. Lam\.
  

**Infinitesimal conformal deformations of triangulated surfaces\.**
  

Master's thesis, Technische Universität Berlin, 2013\.
  

[dgd:190](https://www.discretization.de/publications/file/190)\.  
[426] Wai Yeung Lam\.
  

**Discrete minimal surfaces: critical points of the area functional from integrable systems\.**
  

*International Mathematics Research Notices*, 2018\(6\):1808–1845, December 2016\.
  

[arXiv:1510\.08788](https://arxiv.org/abs/1510.08788), [doi:10\.1093/imrn/rnw267](https://doi.org/10.1093/imrn/rnw267)\.  
[427] Wai Yeung Lam and Ulrich Pinkall\.
  

**Isothermic Triangulated Surfaces\.**
  

preprint, January 2015\.
  

[arXiv:1501\.02587](https://arxiv.org/abs/1501.02587)\.  
[428] Wai Yeung Lam and Ulrich Pinkall\.
  

**Infinitesimal conformal deformations of triangulated surfaces in space\.**
  

*Discrete & Computational Geometry*, 60\(4\):831–858, December 2018\.
  

[arXiv:1702\.04019](https://arxiv.org/abs/1702.04019), [doi:10\.1007/s00454\-018\-0008\-y](https://doi.org/10.1007/s00454-018-0008-y)\.  
[429] Carsten Lange and Konrad Polthier\.
  

**Anisotropic smoothing of point sets\.**
  

*Computer Aided Geometric Design*, 22\(7\):680–692, 2005\.
  
  
[430] Caroline Lasser and Stephanie Troppmann\.
  

**Hagedorn Wavepackets in Time\-Frequency and Phase Space\.**
  

*Journal of Fourier Analysis and Applications*, 20\(4\):679–714, May 2014\.
  

[arXiv:1303\.5192](https://arxiv.org/abs/1303.5192), [doi:10\.1007/s00041\-014\-9330\-9](https://doi.org/10.1007/s00041-014-9330-9)\.  
[431] Christian Lessig, Philipp Petersen, and Martin Schäfer\.
  

**Bendlets: A second\-order shearlet transform with bent elements\.**
  

*Applied and Computational Harmonic Analysis*, 2017\.
  

[arXiv:1607\.05520](https://arxiv.org/abs/1607.05520), [doi:10\.1016/j\.acha\.2017\.06\.002](https://doi.org/10.1016/j.acha.2017.06.002)\.  
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**Deployable strip structures\.**
  

*ACM Trans\. Graph\.*, pages 1–16, 2023\.
  
  
[433] Lauri Loiskekoski and Günter M Ziegler\.
  

**Simple polytopes without small separators\.**
  

*Israel Journal of Mathematics*, 221\(2\):731–739, 2017\.
  

[arXiv:1510\.00511](https://arxiv.org/abs/1510.00511), [doi:10\.1007/s11856\-017\-1572\-1](https://doi.org/10.1007/s11856-017-1572-1)\.  
[434] Lauri Loiskekoski and Günter M\. Ziegler\.
  

**Simple polytopes without small separators, II: Thurston's bound\.**
  

Preprint, Israel J\. Math\., to appear, 2017\.
  

[arXiv:1708\.06718](https://arxiv.org/abs/1708.06718)\.  
[435] Andreas Loos, Rainer Sinn, and Günter M\. Ziegler\.
  

**Panorama der Mathematik\.**
  

Springer, January 2022\.
  

[doi:10\.1007/978\-3\-662\-54873\-8](https://doi.org/10.1007/978-3-662-54873-8)\.  
[436] Andreas Loos and Günter M Ziegler\.
  

**„Was ist Mathematik" lernen und lehren\.**
  

*Mathematische Semesterberichte*, 63\(1\):155–169, 2016\.
  

[doi:10\.1007/s00591\-016\-0167\-y](https://doi.org/10.1007/s00591-016-0167-y)\.  
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**Canonical tessellations of decorated hyperbolic surfaces\.**
  

*Geom Dedicata*, 217\(14\):1–37, April 2023\.
  

[arXiv:2206\.13461](https://arxiv.org/abs/2206.13461), [doi:10\.1007/s10711\-022\-00746\-y](https://doi.org/10.1007/s10711-022-00746-y)\.  
[438] Carl O\. R\. Lutz\.
  

**Decorated Discrete Conformal Equivalence, Canonical Tessellations, and Polyhedral Realization\.**
  

Dissertation, TU Berlin, 2024\.
Doctoral thesis\.
  

[doi:10\.14279/ depositonce\-20357](https://doi.org/10.14279/ depositonce-20357)\.  
[439] F\. H\. Lutz, J\. K\. Mason, E\. A\. Lazar, and R\. D\. MacPherson\.
  

**Roundness of grains in cellular microstructures\.**
  

*Phys\. Rev\. E*, 96:023001, August 2017\.
  

[doi:10\.1103/PhysRevE\.96\.023001](https://doi.org/10.1103/PhysRevE.96.023001)\.  
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**DeepWrinkles: Accurate and Realistic Clothing Modeling\.**
  

In European Conference on Computer Vision \(ECCV\), 667–684\. 2018\.
  

URL: [https://www\.springerprofessional\.de/deepwrinkles\-accurate\-and\-realistic\-clothing\-modeling/16183404](https://www.springerprofessional.de/deepwrinkles-accurate-and-realistic-clothing-modeling/16183404)\.  
[441] A\. Bach M\. Cicalese and A\. Braides\.
  

**Discrete\-to\-continuum limits of multi\-body systems with bulk and surface long\-range interactions\.**
  

preprint, July 2019\.
  

URL: [http://cvgmt\.sns\.it/paper/4406/](http://cvgmt.sns.it/paper/4406/)\.  
[442] G\. Orlando M\. Cicalese and M\. Ruf\.
  

**From the N\-clock model to the XY model: emergence of concentration effects in the variational analysis\.**
  

preprint, August 2019\.
  

URL: [http://cvgmt\.sns\.it/paper/4432/](http://cvgmt.sns.it/paper/4432/)\.  
[443] M\. Forster M\. Cicalese and G\. Orlando\.
  

**Variational analysis of a two\-dimensional frustrated spin system: emergence and rigidity of chirality transitions\.**
  

*SIAM J\. Math\. Anal\.*, 2019\.
preprint\.
  

[arXiv:1904\.07792](https://arxiv.org/abs/1904.07792)\.  
[444] Christian Müller and Helmut Pottmann\.
  

**The geometry of discrete asymptotic\-geodesic 4\-webs in isotropic 3\-space\.**
  

*Monatsh\. Math\.*, 203\(1\):223–246, 2024\.
  

[doi:10\.1007/s00605\-023\-01916\-0](https://doi.org/10.1007/s00605-023-01916-0)\.  
[445] Christian Müller and Helmut Pottmann\.
  

**The geometry of discrete asymptotic\-geodesic 4\-webs in isotropic 3\-space\.**
  

*Monatsh\. Math\.*, 203\(1\):223–246, 2024\.
  

[doi:10\.1007/s00605\-023\-01916\-0](https://doi.org/10.1007/s00605-023-01916-0)\.  
[446] Christian Müller and Amir Vaxman\.
  

**Discrete curvature and torsion from cross\-ratios\.**
  

*Ann\. Mat\. Pura Appl\. \(4\)*, 200\(5\):1935–1960, 2021\.
  

[doi:10\.1007/s10231\-021\-01065\-x](https://doi.org/10.1007/s10231-021-01065-x)\.  
[447] Jackie Ma and Philipp Petersen\.
  

**Linear independence of compactly supported separable shearlet systems\.**
  

*Journal of Mathematical Analysis and Applications*, 428:238–257, 2015\.
  

[arXiv:1404\.1690](https://arxiv.org/abs/1404.1690), [doi:10\.1016/j\.jmaa\.2015\.03\.001](https://doi.org/10.1016/j.jmaa.2015.03.001)\.  
[448] Jan Maas and Daniel Matthes\.
  

**Long\-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation\.**
  

*Nonlinearity, Volume 29, Number 7*, June 2016\.
  

URL: [http://iopscience\.iop\.org/article/10\.1088/0951\-7715/29/7/1992/meta](http://iopscience.iop.org/article/10.1088/0951-7715/29/7/1992/meta)\.  
[449] Tomas Sauer Mariantonia Cotronei, Caroline Moosmüller and Nada Sissouno\.
  

**Level\-Dependent Interpolatory Hermite Subdivision Schemes and Wavelets\.**
  

*Constructive Approximation*, July 2018\.
  

[doi:10\.1007/s00365\-018\-9444\-4](https://doi.org/10.1007/s00365-018-9444-4)\.  
[450] Daniel Matthes and Horst Osberger\.
  

**Convergence of a Variational Lagrangian Scheme for a Nonlinear Drift Diffusion Equation\.**
  

*ESAIM: Mathematical Modelling and Numerical Analysis*, 48\(03\):697–726, 2014\.
Cambridge Univ Press\.
  

[arXiv:1301\.0747](https://arxiv.org/abs/1301.0747)\.  
[451] Daniel Matthes and Horst Osberger\.
  

**A convergent Lagrangian discretization for a nonlinear fourth order equation\.**
  

*Found\. Comput\. Math\.*, 2015\.
online first\.
  

[arXiv:1410\.1728](https://arxiv.org/abs/1410.1728)\.  
[452] Daniel Matthes and Benjamin Söllner\.
  

**Convergent Lagrangian Discretization for Drift\-Diffusion with Nonlocal Aggregation\.**
  

*Innovative Algorithms and Analysis pp 313\-351*, March 2017\.
  

[doi:10\.1007/978\-3\-319\-49262\-9\_12](https://doi.org/10.1007/978-3-319-49262-9_12)\.  
[453] Daniel Matthes and Benjamin Söllner\.
  

**Discretization of Flux\-Limited Gradient Flows: Γ\-convergence and numerical schemes\.**
  

preprint, 2019\.
  

[arXiv:1910\.09843](https://arxiv.org/abs/1910.09843)\.  
[454] Tim Meinhardt, Michael Moeller, Caner Hazirbas, and Daniel Cremers\.
  

**Learning Proximal Operators: Using Denoising Networks for Regularizing Inverse Imaging Problems\.**
  

In IEEE International Conference on Computer Vision \(ICCV\), 1781–1790\. 2017\.
  

URL: [http://openaccess\.thecvf\.com/content\_ICCV\_2017/papers/Meinhardt\_Learning\_Proximal\_Operators\_ICCV\_2017\_paper\.pdf](http://openaccess.thecvf.com/content_ICCV_2017/papers/Meinhardt_Learning_Proximal_Operators_ICCV_2017_paper.pdf)\.  
[455] J\-F Mennemann, D Matthes, R\-M Weishäupl, and T Langen\.
  

**Optimal control of Bose\-Einstein condensates in three dimensions\.**
  

*New Journal of Physics*, 17\(11\):113027, November 2015\.
  

URL: [http://stacks\.iop\.org/1367\-2630/17/i=11/a=113027](http://stacks.iop.org/1367-2630/17/i=11/a=113027)\.  
[456] Hiroyuki Miyata and Arnau Padrol\.
  

**Enumeration of neighborly polytopes and oriented matroids\.**
  

*Experimental Math\.*, 24:489–505, 2015\.
  

[arXiv:1408\.0688](https://arxiv.org/abs/1408.0688), [doi:10\.1080/10586458\.2015\.1015084](https://doi.org/10.1080/10586458.2015.1015084)\.  
[457] Aaron Montag and Jürgen Richter\-Gebert\.
  

**CindyGL: Authoring GPU\-Based Interactive Mathematical Content\.**
  

*ICMS 2016: Mathematical Software – ICMS 2016 pp 359\-365*, July 2016\.
  

[doi:10\.1007/978\-3\-319\-42432\-3\_44](https://doi.org/10.1007/978-3-319-42432-3_44)\.  
[458] Aaron Montag and Jürgen Richter\-Gebert\.
  

**Bringing Together Dynamic Geometry Software and the Graphics Processing Unit\.**
  

*preprint*, August 2018\.
  

[arXiv:1808\.04579](https://arxiv.org/abs/1808.04579)\.  
[459] Christian Müller\.
  

**On Discrete Constant Mean Curvature Surfaces\.**
  

*Discrete Comput\. Geom\.*, 51\(3\):516–538, 2014\.
  

[doi:10\.1007/s00454\-014\-9577\-6](https://doi.org/10.1007/s00454-014-9577-6)\.  
[460] Christian Müller\.
  

**Semi\-Discrete Constant Mean Curvature Surfaces\.**
  

*Math\. Z\.*, 279:459–478, 2015\.
  

[doi:10\.1007/s00209\-014\-1377\-4](https://doi.org/10.1007/s00209-014-1377-4)\.  
[461] Christian Müller\.
  

**Semi\-discrete constant mean curvature surfaces\.**
  

*Mathematische Zeitschrift*, 279\(1\-2\):459–478, 2015\.
  

URL: [http://www\.geometrie\.tuwien\.ac\.at/geom/ig/publications/2015/sdcmc2015/sdcmc\.pdf](http://www.geometrie.tuwien.ac.at/geom/ig/publications/2015/sdcmc2015/sdcmc.pdf), [doi:10\.1007/s00209\-014\-1377\-4](https://doi.org/10.1007/s00209-014-1377-4)\.  
[462] Christian Müller\.
  

**Planar discrete isothermic nets of conical type\.**
  

*Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry*, 57\(2\):459–482, June 2016\.
  

[doi:10\.1007/s13366\-015\-0256\-4](https://doi.org/10.1007/s13366-015-0256-4)\.  
[463] E\. Nava\-Yazdani and K\. Polthier\.
  

**De Casteljauʼs algorithm on manifolds\.**
  

*Computer Aided Geometric Design*, 30\(7\):722 – 732, 2013\.
  

URL: [http://www\.sciencedirect\.com/science/article/pii/S0167839613000551](http://www.sciencedirect.com/science/article/pii/S0167839613000551), [doi:10\.1016/j\.cagd\.2013\.06\.002](https://doi.org/10.1016/j.cagd.2013.06.002)\.  
[464] Matteo Negri, Stefano Almi, and Sandro Belz\.
  

**Convergence of discrete and continuous unilateral flows for Ambrosio\-Tortorelli energies and application to mechanics\.**
  

*ESAIM: Mathematical Modelling and Numerical Analysis*, September 2018\.
  

[doi:10\.1051/m2an/2018057](https://doi.org/10.1051/m2an/2018057)\.  
[465] Matthias Nieser, Jonathan Palacios, Konrad Polthier, and Eugene Zhang\.
  

**Hexagonal Global Parameterization of Arbitrary Surfaces\.**
  

*IEEE Transactions on Visualization and Computer Graphics*, 18\(6\):865–878, 2012\.
  

[doi:10\.1109/TVCG\.2011\.118](https://doi.org/10.1109/TVCG.2011.118)\.  
[466] Benjamin Nill and Arnau Padrol\.
  

**The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes\.**
  

*European Journal of Combinatorics \(special issue in honour of Michel Las Vergnas\)*, 50:159–179, 2015\.
  

[arXiv:1209\.5712](https://arxiv.org/abs/1209.5712)\.  
[467] Daniel Matthes Oliver Junge and Horst Osberger\.
  

**A Fully Discrete Variational Scheme for Solving Nonlinear Fokker\-Planck Equations in Multiple Space Dimensions\.**
  

*SIAM Journal on Numerical Analysis*, 55\(1\):419–443, 2017\.
  

[arXiv:1509\.07721](https://arxiv.org/abs/1509.07721), [doi:10\.1137/16M1056560](https://doi.org/10.1137/16M1056560)\.  
[468] H\. Osberger\.
  

**Fully variational Lagrangian discretizations for second and fourth order evolution equations\.**
  

Dissertation, Technische Universität München, September 2015\.
  

URL: [https://mediatum\.ub\.tum\.de/1271651](https://mediatum.ub.tum.de/1271651), [dgd:182](https://www.discretization.de/publications/file/182)\.  
[469] Horst Osberger\.
  

**Long\-Time Behaviour of a Fully Discrete Lagrangian Scheme for a Family of Fourth Order\.**
  

Submitted, 2015\.
  

[arXiv:1501\.04800](https://arxiv.org/abs/1501.04800)\.  
[470] Horst Osberger and Daniel Matthes\.
  

**Convergence of a Fully Discrete Variational Scheme for a Thin Film Equation\.**
  

*Radon Series on Computational and Applied Mathematics*, 2015\.
accepted\.
  

[arXiv:1509\.01513](https://arxiv.org/abs/1509.01513)\.  
[471] M\. R\. Oswald, J\. Stühmer, and D\. Cremers\.
  

**Generalized Connectivity Constraints for Spatio\-temporal 3D Reconstruction\.**
  

In European Conference on Computer Vision \(ECCV\), 32–46\. 2014\.
  

[doi:10\.1007/978\-3\-319\-10593\-2\_3](https://doi.org/10.1007/978-3-319-10593-2_3)\.  
[472] Marcel Padilla\.
  

**The solar corona: modeled, discretized, visualized\.**
  

Dissertation, TU Berlin, September 2023\.
Doctoral thesis\.
  

[doi:10\.14279/depositonce\-18889](https://doi.org/10.14279/depositonce-18889)\.  
[473] Marcel Padilla, Albert Chern, Felix Knöppel, Ulrich Pinkall, and Peter Schröder\.
  

**On Bubble Rings and Ink Chandeliers\.**
  

*ACM Trans\. Graph\. 38, 4, Article 129*, July 2019\.
  

[doi:10\.1145/3306346\.3322962](https://doi.org/10.1145/3306346.3322962)\.  
[474] Marcel Padilla, Oliver Gross, Felix Knöppel, Ulrich Pinkall, and Peter Schröder\.
  

**Filament based plasma\.**
  

*ACM Transactions on Graphics*, July 2022\.
  

[doi:10\.1145/3528223\.3530102](https://doi.org/10.1145/3528223.3530102)\.  
[475] Arnau Padrol\.
  

**Many neighborly polytopes and oriented matroids\.**
  

*Discrete Comput\. Geom\.*, 50\(4\):865–902, December 2013\.
  

[arXiv:1202\.2810](https://arxiv.org/abs/1202.2810), [doi:10\.1007/s00454\-013\-9544\-7](https://doi.org/10.1007/s00454-013-9544-7)\.  
[476] Arnau Padrol and Julian Pfeifle\.
  

**Polygons as slices of higher\-dimensional polytopes\.**
  

Preprint, April 2014\.
  

[arXiv:1404\.2443](https://arxiv.org/abs/1404.2443)\.  
[477] Arnau Padrol and Louis Theran\.
  

**Delaunay triangulations with disconnected realization spaces\.**
  

In Siu\-Wing Cheng and Olivier Devillers, editors, 30th Annual Symposium on Computational Geometry, SOCG'14, Kyoto, Japan, June 08 \- 11, 2014, 163 – 170\. ACM, 2014\.
  

[doi:10\.1145/2582112\.2582119](https://doi.org/10.1145/2582112.2582119)\.  
[478] Arnau Padrol and Günter M Ziegler\.
  

**Six topics on inscribable polytopes\.**
  

In Advances in Discrete Differential Geometry, pages 407–419\.
Springer, 2016\.
  

[arXiv:1511\.03458](https://arxiv.org/abs/1511.03458), [doi:10\.1007/978\-3\-662\-50447\-5\_13](https://doi.org/10.1007/978-3-662-50447-5_13)\.  
[479] Hao Pan, Yi\-King Choi, Yang Liu, Wenchao Hu, Qiang Du, Konrad Polthier, Caiming Zhang, and Wenping Wang\.
  

**Robust Modeling of Constant Mean Curvature Surfaces\.**
  

*ACM Trans\. Graph\.*, 31\(4\):85:1–85:11, July 2012\.
  

[doi:10\.1145/2185520\.2185581](https://doi.org/10.1145/2185520.2185581)\.  
[480] Tatiana Pavljukevich\.
  

**Spinor representation of Bryant surfaces with catenoidal and smooth ends\.**
  

Dissertation, TU Berlin, 2014\.
  
  
[481] D\. Pellis, M\. Kilian, F\. Dellinger, J\. Wallner, and H\. Pottmann\.
  

**Visual Smoothness of polyhedral surfaces\.**
  

*ACM Trans\. Graphics*, 2019\.
  

URL: [http://hdl\.handle\.net/10754/653104](http://hdl.handle.net/10754/653104)\.  
[482] Davide Pellis, Martin Kilian, Hui Wang, Caigui Jiang, Christian Müller, and Helmut Pottmann\.
  

**Architectural freeform surfaces designed for cost\-effective paneling mold re\-use\.**
  

preprint, 2020\.
  

URL: [https://www\.geometrie\.tuwien\.ac\.at/geom/ig/publications/aagweingarten/aagweingarten\.pdf](https://www.geometrie.tuwien.ac.at/geom/ig/publications/aagweingarten/aagweingarten.pdf)\.  
[483] Davide Pellis and Helmut Pottmann\.
  

**Aligning principal stress and curvature directions\.**
  

*Advances in Architectural Geometry*, pages 34–53, 2018\.
  
  
[484] Davide Pellis, Hui Wang, Florian Rist, Martin Kilian, Helmut Pottmann, and Christian Müller\.
  

**Principal Symmetric Meshes\.**
  

*ACM Trans\. Graphics*, 2020\.
Proc\. SIGGRAPH\.
  

[doi:10\.1145/3386569\.3392446](https://doi.org/10.1145/3386569.3392446)\.  
[485] Chi\-Han Peng, Helmut Pottmann, and Peter Wonka\.
  

**Designing patterns using triangle\-quad hybrid meshes\.**
  

*ACM Trans\. Graphics*, 37\(4\):14, 2018\.
Proc\. SIGGRAPH\.
  
  
[486] Philipp Petersen\.
  

**Shearlet approximation of functions with discontinuous derivatives\.**
  

preprint, August 2015\.
  

[arXiv:1508\.00409](https://arxiv.org/abs/1508.00409)\.  
[487] Philipp Petersen and Mones Raslan\.
  

**Approximation properties of hybrid shearlet\-wavelet frames for Sobolev spaces\.**
  

*Advances in Computational Mathematics*, 45\(3\):1581–1606, June 2019\.
  

[arXiv:1712\.01047](https://arxiv.org/abs/1712.01047), [doi:10\.1007/s10444\-019\-09679\-9](https://doi.org/10.1007/s10444-019-09679-9)\.  
[488] Philipp Petersen and Felix Voigtlaender\.
  

**Optimal approximation of piecewise smooth functions using deep ReLU neural networks\.**
  

*Neural Networks*, 108:296–330, 2018\.
  

[arXiv:1709\.05289](https://arxiv.org/abs/1709.05289), [doi:10\.1016/j\.neunet\.2018\.08\.019](https://doi.org/10.1016/j.neunet.2018.08.019)\.  
[489] M\. Petrera, A\. Pfadler, and Yu\. Suris\.
  

**On integrability of Hirota\-Kimura type discretizations\.**
  

*Regular and Chaotic Dynamics*, 16\(3\):245–289, June 2011\.
  

[doi:10\.1134/S1560354711030051](https://doi.org/10.1134/S1560354711030051)\.  
[490] M\. Petrera and Y\. B\. Suris\.
  

**S\. Kovalevskaya system, its generalization and discretization\.**
  

*Frontiers of Mathematics in China, 2013, 8, No\. 5, p\. 1047\-1065*, August 2012\.
  

[arXiv:1208\.3726](https://arxiv.org/abs/1208.3726), [doi:10\.1007/s11464\-013\-0305\-y](https://doi.org/10.1007/s11464-013-0305-y)\.  
[491] M\. Petrera and Y\. B\. Suris\.
  

**Spherical geometry and integrable systems\.**
  

*Geometriae Dedicata*, August 2012\.
  

[arXiv:1208\.3625](https://arxiv.org/abs/1208.3625), [doi:10\.1007/s10711\-013\-9843\-4](https://doi.org/10.1007/s10711-013-9843-4)\.  
[492] Matteo Petrera\.
  

**Mathematical Physics I: Dynamical Systems and Classical Mechanics\. Lecture Notes\.**
  

Logos Verlag Berlin GmbH, 2013\.
ISBN 978\-3\-8325\-3569\-8\.
  

URL: [http://www\.logos\-verlag\.de/cgi\-bin/engbuchmid?isbn=3569&lng=deu&id=](http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3569&lng=deu&id=)\.  
[493] Matteo Petrera\.
  

**Mathematical Physics II: Classical Statistical Mechanics\. Lecture Notes\.**
  

Logos Verlag Berlin GmbH, 2014\.
ISBN 978\-3\-8325\-3719\-7\.
  

URL: [http://www\.logos\-verlag\.de/cgi\-bin/engbuchmid?isbn=3719&lng=deu&id=](http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3719&lng=deu&id=)\.  
[494] Matteo Petrera\.
  

**Mathematical Physics III \- Integrable Systems of Classical Mechanics\. Lecture Notes\.**
  

Logos Verlag Berlin GmbH, 2015\.
ISBN 978\-3\-8325\-3950\-4\.
  

URL: [http://www\.logos\-verlag\.de/cgi\-bin/engbuchmid?isbn=3950&lng=deu&id=](http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3950&lng=deu&id=)\.  
[495] Matteo Petrera, Andreas Pfadler, and Yuri B Suris\.
  

**On the construction of elliptic solutions of integrable birational maps\.**
  

*Experimental Mathematics*, 26\(3\):324–341, 2017\.
  

[arXiv:1409\.1741](https://arxiv.org/abs/1409.1741), [doi:10\.1080/10586458\.2016\.1166354](https://doi.org/10.1080/10586458.2016.1166354)\.  
[496] Matteo Petrera and Yuri B Suris\.
  

**A construction of commuting systems of integrable symplectic birational maps\.**
  

Preprint, 2016\.
  

[arXiv:1607\.07085](https://arxiv.org/abs/1607.07085)\.  
[497] Matteo Petrera and Yuri B Suris\.
  

**A construction of commuting systems of integrable symplectic birational maps\. Lie\-Poisson case\.**
  

Preprint, 2016\.
  

[arXiv:1612\.04349](https://arxiv.org/abs/1612.04349)\.  
[498] Matteo Petrera and Yuri B Suris\.
  

**A construction of a large family of commuting pairs of integrable symplectic birational four\-dimensional maps\.**
  

*Proceedings of the Royal Society of London A: Mathematical*, 2017\.
  

[arXiv:1606\.08238](https://arxiv.org/abs/1606.08238), [doi:10\.1098/rspa\.2016\.0535](https://doi.org/10.1098/rspa.2016.0535)\.  
[499] Matteo Petrera and Yuri B Suris\.
  

**On the classification of multidimensionally consistent 3D maps\.**
  

*Letters in Mathematical Physics*, 107\(11\):2013–2027, 2017\.
  

[arXiv:1509\.03129](https://arxiv.org/abs/1509.03129), [doi:10\.1007/s11005\-017\-0976\-5](https://doi.org/10.1007/s11005-017-0976-5)\.  
[500] Matteo Petrera and Yuri B Suris\.
  

**Variational symmetries and pluri\-Lagrangian systems in classical mechanics\.**
  

*Journal of Nonlinear Mathematical Physics*, 24\(sup1\):121–145, 2017\.
  

[arXiv:1710\.01526](https://arxiv.org/abs/1710.01526), [doi:10\.1080/14029251\.2017\.1418058](https://doi.org/10.1080/14029251.2017.1418058)\.  
[501] Matteo Petrera and Yuri B\. Suris\.
  

**New results on integrability of the Kahan\-Hirota\-Kimura discretizations\.**
  

In Nonlinear systems and their remarkable mathematical structures\. Vol\. 1, pages 94–121\.
CRC Press, Boca Raton, FL, 2019\.
  

URL: [https://www\.crcpress\.com/Nonlinear\-Systems\-and\-Their\-Remarkable\-Mathematical\-Structures\-Volume\-I/Euler/p/book/9781138601000](https://www.crcpress.com/Nonlinear-Systems-and-Their-Remarkable-Mathematical-Structures-Volume-I/Euler/p/book/9781138601000)\.  
[502] Matteo Petrera and Mats Vermeeren\.
  

**Variational symmetries and pluri\-Lagrangian structures for integrable hierarchies of PDEs\.**
  

preprint, 2019\.
  

[arXiv:1906\.04535](https://arxiv.org/abs/1906.04535)\.  
[503] Matteo Petrera and René Zander\.
  

**New classes of quadratic vector fields admitting integral\-preserving Kahan–Hirota–Kimura discretizations\.**
  

*Journal of Physics A: Mathematical and Theoretical*, 50\(20\):205203, 2017\.
  

[arXiv:1610\.03664](https://arxiv.org/abs/1610.03664), [doi:10\.1088/1751\-8121/aa6a0f](https://doi.org/10.1088/1751-8121/aa6a0f)\.  
[504] U\. Pinkall and K\. Polthier\.
  

**Computing discrete minimal surfaces and their conjugates\.**
  

*Experimental Mathematics*, 2\(1\):15–36, 1993\.
  

URL: [http://www\.cs\.jhu\.edu/~misha/Fall09/Pinkall93\.pdf](http://www.cs.jhu.edu/~misha/Fall09/Pinkall93.pdf)\.  
[505] Ulrich Pinkall and Oliver Gross\.
  

**Differential Geometry, From Elastic Curves to Willmore Surfaces\.**
  

Birkhäuser Cham, 2024\.
ISBN 978\-3\-031\-39838\-4\.
  

[doi:10\.1007/978\-3\-031\-39838\-4](https://doi.org/10.1007/978-3-031-39838-4)\.  
[506] Ulrich Pinkall and Boris Springborn\.
  

**A discrete version of Liouville's theorem on conformal maps\.**
  

*Geom Dedicata*, 214:389–398, April 2021\.
  

[arXiv:1911\.00966](https://arxiv.org/abs/1911.00966), [doi:10\.1007/s10711\-021\-00621\-2](https://doi.org/10.1007/s10711-021-00621-2)\.  
[507] Ulrich Pinkall and Jonas Tervooren\.
  

**A Weierstrass representation for 2D elasticity\.**
  

preprint, June 2017\.
  

[arXiv:1706\.06387](https://arxiv.org/abs/1706.06387)\.  
[508] Simon Plazotta\.
  

**A BDF2\-approach for the non\-linear Fokker\-Planck equation\.**
  

*Discrete Contin\. Dyn\. Syst\.*, 39\(5\):2893–2913, May 2019\.
  

[arXiv:1801\.09603](https://arxiv.org/abs/1801.09603), [doi:10\.3934/dcds\.2019120](https://doi.org/10.3934/dcds.2019120)\.  
[509] Simon Plazotta and Jonathan Zinsl\.
  

**High\-frequency limit of non\-autonomous gradient flows of functionals with time\-periodic forcing\.**
  

*Journal of Differential Equations, Vol\. 261, Issue 12, 15 December 2016, Pages 6806\-6855*, December 2016\.
  

[doi:10\.1016/j\.jde\.2016\.09\.003](https://doi.org/10.1016/j.jde.2016.09.003)\.  
[510] K\. Poelke and K\. Polthier\.
  

**Domain Coloring of Complex Functions: An Implementation\-Oriented Introduction\.**
  

*IEEE Computer Graphics and Applications*, 32\(5\):90–97, 2012\.
  

[doi:10\.1109/MCG\.2012\.100](https://doi.org/10.1109/MCG.2012.100)\.  
[511] Konstantin Poelke and Konrad Polthier\.
  

**Boundary\-aware Hodge decompositions for piecewise constant vector fields\.**
  

*Computer\-Aided Design*, 78:126 – 136, 2016\.
  

[doi:10\.1016/j\.cad\.2016\.05\.004](https://doi.org/10.1016/j.cad.2016.05.004)\.  
[512] Konstantin Poelke and Konrad Polthier\.
  

**Discrete Topology\-Revealing Vector Fields on Simplicial Surfaces with Boundary\.**
  

In Proc\. of TopoInVis 2017\. 2017\.
  

URL: [https://www\.semanticscholar\.org/paper/Discrete\-Topology\-Revealing\-Vector\-Fields\-on\-with\-Poelke\-Polthier/e21049641234976a56bbb668287b382412ccdfe1](https://www.semanticscholar.org/paper/Discrete-Topology-Revealing-Vector-Fields-on-with-Poelke-Polthier/e21049641234976a56bbb668287b382412ccdfe1)\.  
[513] Konrad Polthier and Faniry Razafindrazaka\.
  

**Discrete Geometry for Reliable Surface Quad\-Remeshing\.**
  

In Robert S\. Anderssen, Philip Broadbridge, Yasuhide Fukumoto, Kenji Kajiwara, Tsuyoshi Takagi, Evgeny Verbitskiy, and Masato Wakayama, editors, Applications \+ Practical Conceptualization \+ Mathematics = fruitful Innovation, volume 11 of Mathematics for Industry, pages 261–275\.
Springer Japan, 2016\.
  

[doi:10\.1007/978\-4\-431\-55342\-7\_22](https://doi.org/10.1007/978-4-431-55342-7_22)\.  
[514] Helmut Pottmann, Michael Eigensatz, Amir Vaxman, and Johannes Wallner\.
  

**Architectural Geometry\.**
  

*Computers and Graphics*, 47:145–164, 2015\.
  

URL: [http://www\.geometrie\.tugraz\.at/wallner/survey\.pdf](http://www.geometrie.tugraz.at/wallner/survey.pdf), [doi:10\.1016/j\.cag\.2014\.11\.002](https://doi.org/10.1016/j.cag.2014.11.002)\.  
[515] Helmut Pottmann, Caigui Jiang, Mathias Höbinger, Jun Wang, Philippe Bompas, and Johannes Wallner\.
  

**Cell packing structures\.**
  

*Computer\-Aided Design*, 2014\.
to appear\. Special issue on Material Ecology\.
  

[doi:10\.1016/j\.cad\.2014\.02\.009](https://doi.org/10.1016/j.cad.2014.02.009)\.  
[516] Helmut Pottmann and Johannes Wallner\.
  

**Geometry and freeform architecture\.**
  

In Wolfgang König, editor, Mathematics and Society, pages 131–151\.
EMS, 2016\.
  

[doi:10\.4171/164](https://doi.org/10.4171/164)\.  
[517] Maximilian Pschigode\.
  

**Convergence of discrete holomorphic integrals on orthodiagonal discrete Riemann surfaces\.**
  

Master's thesis, TU Berlin, June 2024\.
master thesis\.
  

[dgd:806](https://www.discretization.de/publications/file/806)\.  
[518] Jürgen Richter\-Gebert Qingchun Ren and Bernd Sturmfels\.
  

**Cayley\-Bacharach Formulas\.**
  

*The American Mathematical Monthly, 122\(9\):845–854*, 2015\.
  

[arXiv:1405\.6438](https://arxiv.org/abs/1405.6438)\.  
[519] A\. Garroni R\. Alicandro, L\. De Luca and M\. Ponsiglione\.
  

**Metastability and dynamics of discrete topological singularities in two dimensions: a Gamma\-convergence approach\.**
  

*Archive for Rational Mechanics and Analysis, 214\(1\):269–330*, 2014\.
  
  
[520] Michael Rabinovich, Tim Hoffmann, and Olga Sorkine\-Hornung\.
  

**Discrete Geodesic Nets for Modeling Developable Surfaces\.**
  

*ACM Trans\. Graph\.*, 37\(2\):16:1–16:17, July 2018\.
  

[doi:10\.1145/3180494](https://doi.org/10.1145/3180494)\.  
[521] Michael Rabinovich, Tim Hoffmann, and Olga Sorkine\-Hornung\.
  

**The Shape Space of Discrete Orthogonal Geodesic Nets\.**
  

*ACM Trans\. Graph\., Vol\. 37, No\. 6, Article 228*, November 2018\.
  

[doi:10\.1145/3272127\.3275088](https://doi.org/10.1145/3272127.3275088)\.  
[522] Michael Rabinovich, Tim Hoffmann, and Olga Sorkine\-Hornung\.
  

**Modeling Curved Folding with Freeform Deformations\.**
  

*ACM Transactions on Graphics \(proceedings of ACM SIGGRAPH ASIA\)*, 2019\.
  

[doi:10\.1145/3355089\.3356531](https://doi.org/10.1145/3355089.3356531)\.  
[523] B\. Rahmani, S\. Jelbart, V\. Kirk, and J\. Sneyd\.
  

**Understanding broad\-spike oscillations in a model of intracellular calcium dynamics\.**
  

preprint, January 2024\.
  

[arXiv:2401\.16839](https://arxiv.org/abs/2401.16839)\.  
[524] Faniry Razafindrazaka and Konrad Polthier\.
  

**Regular Map Smoothing\.**
  

*IMAGEN\-A*, March 2013\.
  

URL: [http://munkres\.us\.es/Volume3/Volumen3/N\_5\_files/5\.4\.pdf](http://munkres.us.es/Volume3/Volumen3/N_5_files/5.4.pdf)\.  
[525] Faniry Razafindrazaka and Konrad Polthier\.
  

**The 6\-ring\.**
  

In George W\. Hart and Reza Sarhangi, editors, Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, 279–286\. Phoenix, Arizona, 2013\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2013/bridges2013\-279\.html](http://archive.bridgesmathart.org/2013/bridges2013-279.html)\.  
[526] Faniry Razafindrazaka and Konrad Polthier\.
  

**Regular Surfaces and Regular Maps\.**
  

In George Hart Gary Greenfield and Reza Sarhangi, editors, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, 225–234\. Phoenix, Arizona, 2014\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2014/bridges2014\-225\.html](http://archive.bridgesmathart.org/2014/bridges2014-225.html)\.  
[527] Faniry Razafindrazaka and Konrad Polthier\.
  

**Realization of Regular Maps Large Genus\.**
  

In Valerio Pascucci Janine Bennet, Fabien Vivodtzev, editor, Topological and Statistical Methods for Complex Data, pages 239–252\.
Springer Berlin Heidelberg, 2015\.
  

URL: [http://page\.mi\.fu\-berlin\.de/faniry/files/faniryTSCD2015\.pdf](http://page.mi.fu-berlin.de/faniry/files/faniryTSCD2015.pdf), [doi:10\.1007/978\-3\-662\-44900\-4\_14](https://doi.org/10.1007/978-3-662-44900-4_14)\.  
[528] Faniry H\. Razafindrazaka, Ulrich Reitebuch, and Konrad Polthier\.
  

**Perfect Matching Quad Layouts for Manifold Meshes\.**
  

*Computer Graphics Forum \(proceedings of EUROGRAPHICS Symposium on Geometry Processing\)*, 2015\.
  

URL: [http://www\.mi\.fu\-berlin\.de/en/math/groups/ag\-geom/publications/db/2015\_RRP\_PerfectMatchingQuadLayoutsForManifoldMeshes\_New\.pdf](http://www.mi.fu-berlin.de/en/math/groups/ag-geom/publications/db/2015_RRP_PerfectMatchingQuadLayoutsForManifoldMeshes_New.pdf)\.  
[529] R\. Reisenhofer, S\. Bosse, G\. Kutyniok, and T\. Wiegand\.
  

**A Haar Wavelet\-Based Perceptual Similarity Index for Image Quality Assessment\.**
  

*Signal Proc\. Image Comm\.*, 61:33–43, February 2018\.
  

[arXiv:1607\.06140](https://arxiv.org/abs/1607.06140), [doi:10\.1016/j\.image\.2017\.11\.001](https://doi.org/10.1016/j.image.2017.11.001)\.  
[530] Ulrich Reitebuch, Eric Zimmermann, and Konrad Polthier\.
  

**Two\-Layer Woven Surfaces with Planar Faces\.**
  

In Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, 147–154\. Phoenix, Arizona, 2018\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2018/bridges2018\-147\.pdf](http://archive.bridgesmathart.org/2018/bridges2018-147.pdf)\.  
[531] J\. Richter\-Gebert\.
  

**Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry\.**
  

Springer, 2011\.
  
  
[532] J\. Richter\-Gebert and U\. Kortenkamp\.
  

**Complexity issues in dynamic geometry\.**
  

In M\. Rojas and F\. Cucker, editors, Foundations of Computational Mathematics: Proceedings of the Smalefest 2000, Hong Kong, July 13\-17, 2000, 355–404\. Singapore, 2002\. World Scientific\.
  
  
[533] J\. Richter\-Gebert and U\. Kortenkamp\.
  

**The power of scripting: DGS meets programming\.**
  

*Acta didactica Napocensia*, 3\(2\):67–78, 2010\.
  
  
[534] J\. Richter\-Gebert and U\. Kortenkamp\.
  

**The Cinderella\.2 Manual: Working with The Interactive Geometry Software\.**
  

Springer, 2012\.
  

URL: [https://www\.springer\.com/de/book/9783540349242](https://www.springer.com/de/book/9783540349242)\.  
[535] Jürgen Richter\-Gebert\.
  

**Touch und Tablet: Stationen einer Designstudie\.**
  

*Heintz, G\., Pinkernell, G\., Schacht, F\. \(Hrsg\.\): Digitale Werkzeuge für den Mathematikunterricht\. Festschrift für Hans\-Jürgen Elschenbroich*, 2015\.
  

URL: [http://science\-to\-touch\.com/articles](http://science-to-touch.com/articles)\.  
[536] Matthias Ruf\.
  

**Motion of discrete interfaces in low\-contrast random environments\.**
  

*ESAIM: COCV, Volume 24, Number 3, July–September 2018*, October 2017\.
  

[doi:10\.1051/cocv/2017067](https://doi.org/10.1051/cocv/2017067)\.  
[537] Thilo Rörig, Stefan Sechelmann, Agata Kycia, and Moritz Fleischmann\.
  

**Surface panelization using periodic conformal maps\.**
  

In Philippe Block, Jan Knippers, Niloy Mitra, and Wenping Wang, editors, Advances in Architectural Geometry 2014\. Springer, September 2014\.
Best Paper Award\.
  
  
[538] Thilo Rörig and Gudrun Szewieczek\.
  

**The Ribaucour families of discrete R\-congruences\.**
  

preprint, April 2020\.
  

[arXiv:2004\.04447](https://arxiv.org/abs/2004.04447)\.  
[539] Angkana Rüland, Christian Zillinger, and Barbara Zwicknagl\.
  

**Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int \($K^lc$\)\.**
  

*SIAM Journal on Mathematical Analysis*, 50\(4\):3791–3841, 2018\.
  

[doi:10\.1137/17M1149687](https://doi.org/10.1137/17M1149687)\.  
[540] Angkana Rüland, Christian Zillinger, and Barbara Zwicknagl\.
  

**Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Planar Geometrically Linearized Hexagonal\-to\-Rhombic Phase Transformation\.**
  

*Journal of Elasticity*, January 2019\.
  

[doi:10\.1007/s10659\-018\-09719\-3](https://doi.org/10.1007/s10659-018-09719-3)\.  
[541] S\. Weissmann, U\. Pinkall and P\. Schröder\.
  

**Smoke rings from smoke\.**
  

*ACM Transactions on Graphics, 33*, 2014\.
  
  
[542] Andrew O\. Sageman\-Furnas, Albert Chern, Mirela Ben\-Chen, and Amir Vaxman\.
  

**Chebyshev Nets from Commuting PolyVector Fields\.**
  

*ACM Trans\. Graphics*, 38\(6\):172:1–172:16, 2019\.
Proc\. SIGGRAPH Asia\.
  

[doi:10\.1145/3355089\.3356564](https://doi.org/10.1145/3355089.3356564)\.  
[543] Manuele Santoprete, Jürgen Scheurle, and Sebastian Walcher\.
  

**Motion in a Symmetric Potential on the Hyperbolic Plane\.**
  

*Canadian J\. of Mathematics*, August 2013\.
27 pages\.
  

[arXiv:1305\.3788](https://arxiv.org/abs/1305.3788), [doi:10\.4153/CJM\-2013\-026\-2](https://doi.org/10.4153/CJM-2013-026-2)\.  
[544] Raman Sanyal and Christian Stump\.
  

**Lipschitz polytopes of posets and permutation statistics\.**
  

Preprint, 2017\.
  

[arXiv:1703\.10586](https://arxiv.org/abs/1703.10586)\.  
[545] Felix Krahmer Sara Krause\-Solberg, Olga Graf\.
  

**One\-bit sigma\-delta modulation on a closed loop\.**
  

november 2018\.
poster\.
  

[dgd:443](https://www.discretization.de/publications/file/443)\.  
[546] Katharina Schaar\.
  

**Fundamental Properties of Phirotopes\.**
  

Dissertation, Technische Universität München, July 2017\.
Dissertation\.
  

URL: [http://mediatum\.ub\.tum\.de/603815?show\_id=1341483](http://mediatum.ub.tum.de/603815?show_id=1341483)\.  
[547] Jürgen Scheurle and Sebastian Walcher\.
  

**Minima of invariant functions: The inverse problem\.**
  

*Acta Applicandae Mathematicae, 137\(1\):233\-252*, 2015\.
accepted for publication by Acta Applicandae Mathematicae\.
  

[doi:10\.1007/s10440\-014\-9997\-6](https://doi.org/10.1007/s10440-014-9997-6)\.  
[548] Eike Schling, Martin Kilian, Hui Wang, Denis Schikore, and Helmut Pottmann\.
  

**Design and construction of curved support structures with repetitive parameters\.**
  

In Lars Hesselgren, Axel Kilian, Samar Malek, Karl\-Gunnar Olsson, Olga Sorkine\-Hornung, and Chris Williams, editors, Advances in Architectural Geometry, pages 140–165\.
Klein Publishing Ltd, 2018\.
  
  
[549] Patrick Schnell, Philipp Holl, and Nils Thuerey\.
  

**Half\-Inverse Gradients for Physical Deep Learning\.**
  

*International Conference on Learning Representations*, March 2022\.
  

URL: [https://arxiv\.org/abs/2203\.10131](https://arxiv.org/abs/2203.10131)\.  
[550] Stefan Sechelmann\.
  

**Variational Methods for Discrete Surface Parameterization\. Applications and Implementation\.**
  

Dissertation, TU Berlin, June 2016\.
  

URL: [http://dx\.doi\.org/10\.14279/depositonce\-5415](http://dx.doi.org/10.14279/depositonce-5415)\.  
[551] Stefan Sechelmann, Thilo Rörig, and Alexander I\. Bobenko\.
  

**Quasiisothermic Mesh Layout\.**
  

In Lars Hesselgren, Shrikant Sharma, Johannes Wallner, Niccolo Baldassini, Philippe Bompas, and Jacques Raynaud, editors, Advances in Architectural Geometry 2012, pages 243–258\.
Springer Vienna, 2013\.
  

[doi:10\.1007/978\-3\-7091\-1251\-9\_20](https://doi.org/10.1007/978-3-7091-1251-9_20)\.  
[552] Christoph Seidel, Thilo Rörig, and Stefan Sechelmann\.
  

**Planar quad layout on NURBS\-surfaces from symmetric conjugate curves\.**
  

September 2014\.
Presented at Advances in Architectural Geometry 2014\.
  

[dgd:141](https://www.discretization.de/publications/file/141)\.  
[553] Ling Shi, Jun Wang, and Helmut Pottmann\.
  

**Smooth surfaces from rational bilinear patches\.**
  

*Comput\. Aided Geom\. Design*, 31\(1\):1–12, 2014\.
  

[doi:10\.1016/j\.cagd\.2013\.11\.001](https://doi.org/10.1016/j.cagd.2013.11.001)\.  
[554] Hannah Sjöberg and Günter M\. Ziegler\.
  

**Semi\-algebraic sets of $f$\-vectors\.**
  

Preprint, November 2017\.
  

[arXiv:1711\.01864](https://arxiv.org/abs/1711.01864)\.  
[555] Hannah Sjöberg and Günter M\. Ziegler\.
  

**Characterizing face and flag vector pairs for polytopes\.**
  

Preprint, March 2018\.
  

[arXiv:1803\.04801](https://arxiv.org/abs/1803.04801)\.  
[556] "Martin Skrodzki and Eric Zimmermann"\.
  

**"A Large\-Scale Evaluation Of Shape\-Aware Neighborhood Weights And Neighborhood Sizes"\.**
  

*"Computer\-Aided Design"*, 141:103107, 2021\.
  

[doi:10\.1016/j\.cad\.2021\.103107](https://doi.org/10.1016/j.cad.2021.103107)\.  
[557] Martin Skrodzki\.
  

**Neighborhood Computation of Point Set Surfaces\.**
  

Master's thesis, Freie University Berlin, 2014\.
  

[dgd:202](https://www.discretization.de/publications/file/202)\.  
[558] Martin Skrodzki\.
  

**Computational and Structural Aspects of Point Set Surfaces\.**
  

In BMS Days 2017\. February 2017\.
  

URL: [https://ms\-math\-computer\.science/posters/2017\_bms\_days\.pdf](https://ms-math-computer.science/posters/2017_bms_days.pdf)\.  
[559] Martin Skrodzki, Ulrike Bath, Kevin Guo, and Konrad Polthier\.
  

**A leap forward: a user study on gestural geometry exploration\.**
  

*Journal of Mathematics and the Arts*, 13\(4\):369–382, 2019\.
  

[doi:10\.1080/17513472\.2019\.1667209](https://doi.org/10.1080/17513472.2019.1667209)\.  
[560] Martin Skrodzki, Johanna Jansen, and Konrad Polthier\.
  

**Directional density measure to intrinsically estimate and counteract non\-uniformity in point clouds\.**
  

*Computer Aided Geometric Design*, 64:73 – 89, 2018\.
  

URL: [http://www\.sciencedirect\.com/science/article/pii/S0167839618300256](http://www.sciencedirect.com/science/article/pii/S0167839618300256), [doi:10\.1016/j\.cagd\.2018\.03\.011](https://doi.org/10.1016/j.cagd.2018.03.011)\.  
[561] Martin Skrodzki and Konrad Polthier\.
  

**Turing\-Like Patterns Revisited: A Peek Into The Third Dimension\.**
  

In David Swart, Carlo H\. Séquin and Kristóf Fenyvesi, editors, Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, 415–418\. Phoenix, Arizona, 2017\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2017/bridges2017\-415\.pdf](http://archive.bridgesmathart.org/2017/bridges2017-415.pdf)\.  
[562] Martin Skrodzki and Konrad Polthier\.
  

**Mondrian Revisited: A Peek Into The Third Dimension\.**
  

In Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, 99–106\. Phoenix, Arizona, 2018\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2018/bridges2018\-99\.pdf](http://archive.bridgesmathart.org/2018/bridges2018-99.pdf)\.  
[563] Martin Skrodzki and Ulrich Reitebuch\.
  

**Computational and Structural Aspects of Point Set Surfaces\.**
  

In SIAM Conference on Industrial and Applied Geometry\. July 2017\.
  

URL: [https://ms\-math\-computer\.science/posters/2017\_siam\_2\.pdf](https://ms-math-computer.science/posters/2017_siam_2.pdf)\.  
[564] Martin Skrodzki, Ulrich Reitebuch, and Konrad Polthier\.
  

**Chladni Figures Revisited: A Peek Into The Third Dimension\.**
  

In Eve Torrence, Bruce Torrence, Carlo Séquin, Douglas McKenna, Kristóf Fenyvesi, and Reza Sarhangi, editors, Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, 481–484\. Phoenix, Arizona, 2016\. Tessellations Publishing\.
  

URL: [http://archive\.bridgesmathart\.org/2016/bridges2016\-481\.html](http://archive.bridgesmathart.org/2016/bridges2016-481.html)\.  
[565] Martin Skrodzki, Ulrich Reitebuch, and Konrad Polthier\.
  

**Asymptotical & Combinatorial Results on the Neighborhood Grid Data Structure\.**
  

In Einstein Workshop Discrete Geometry and Topology\. March 2018\.
  

URL: [https://ms\-math\-computer\.science/posters/2018\_einstein\_workshop\.pdf](https://ms-math-computer.science/posters/2018_einstein_workshop.pdf)\.  
[566] Martin Skrodzki, Ulrich Reitebuch, and Konrad Polthier\.
  

**Computational and Structural Aspects of Point Set Surfaces\.**
  

In BMS Days 2018\. February 2018\.
  

URL: [https://ms\-math\-computer\.science/posters/2018\_bms\_days\.pdf](https://ms-math-computer.science/posters/2018_bms_days.pdf)\.  
[567] Martin Skrodzki, Ulrich Reitebuch, Konrad Polthier, and Shagnik Das\.
  

**Combinatorial and Asymptotical Results on the Neighborhood Grid Data Structure\.**
  

*Eurographics Conference on Computer Graphics 2018*, 2018\.
  

URL: [https://conference\.imp\.fu\-berlin\.de/eurocg18/download/paper\_30\.pdf](https://conference.imp.fu-berlin.de/eurocg18/download/paper_30.pdf)\.  
[568] Martin Skrodzki, Ulrich Reitebuch, and Eric Zimmermann\.
  

**Investigations of structures in the parameter space of three\-dimensional Turing\-like patterns\.**
  

HAL, July 2021\.
  

URL: [https://hal\.science/hal\-03270664/file/AUTOMATA2021\-exploratory15\.pdf](https://hal.science/hal-03270664/file/AUTOMATA2021-exploratory15.pdf)\.  
[569] Martin Skrodzki, Ulrich Reitebuch, and Eric Zimmermann\.
  

**Investigations of structures in the parameter space of three\-dimensional Turing\-like patterns\.**
  

In AUTOMATA2021\. July 2021\.
  

URL: [https://ms\-math\-computer\.science/posters/2020\_visually\_3D\_Turing\.pdf](https://ms-math-computer.science/posters/2020_visually_3D_Turing.pdf)\.  
[570] Martin Skrodzki and Eric Zimmermann\.
  

**A Large\-Scale Evaluation Of Shape\-Aware Neighborhood Weights And Neighborhood Sizes\.**
  

In Computer\-Aided Design\. December 2021\.
  

URL: [https://ms\-math\-computer\.science/posters/2020\_large\_scale\_evaluation\.pdf](https://ms-math-computer.science/posters/2020_large_scale_evaluation.pdf)\.  
[571] Martin Skrodzki, Eric Zimmermann, and Konrad Polthier\.
  

**Variational Shape Approximation of Point Set Surfaces\.**
  

In IGS 2019 International Geometry Summit \- Poster Proceedings, 54–57\. 2019\.
  

URL: [https://drive\.google\.com/file/d/1eq3LDDOtpFH77fXsv37ugk7ORdf5k3e1/view](https://drive.google.com/file/d/1eq3LDDOtpFH77fXsv37ugk7ORdf5k3e1/view)\.  
[572] Martin Skrodzki, Eric Zimmermann, and Konrad Polthier\.
  

**Variational shape approximation of point set surfaces\.**
  

*Computer Aided Geometric Design*, June 2020\.
  

[arXiv:2005\.01003](https://arxiv.org/abs/2005.01003), [doi:10\.1016/j\.cagd\.2020\.101875](https://doi.org/10.1016/j.cagd.2020.101875)\.  
[573] Martin Skrodzki, Eric Zimmermann, Ulrich Reitebuch, Sunil Yadav, and Konrad Polthier\.
  

**Processing of Point Set Surfaces\.**
  

In FU Berlin\. September 2019\.
  

URL: [https://ms\-math\-computer\.science/posters/2019\_icerm\.pdf](https://ms-math-computer.science/posters/2019_icerm.pdf)\.  
[574] Sergey V\. Smirnov\.
  

**Integral preserving discretization of 2D Toda lattices\.**
  

*Journal of Physics A: Mathematical and Theoretical*, June 2023\.
  

[arXiv:2306\.01632](https://arxiv.org/abs/2306.01632)\.  
[575] Gard Spreemann, Benjamin Dunn, Magnus Bakke Botnan, and Nils A\. Baas\.
  

**Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model\.**
  

*Journal: Phys\. Rev\. E 97, 032313*, March 2018\.
  

[doi:10\.1103/PhysRevE\.97\.032313](https://doi.org/10.1103/PhysRevE.97.032313)\.  
[576] B\. Springborn\.
  

**The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms\.**
  

*Enseign\. Math\.*, 63\(3\-4\):333–373, 2017\.
  

[doi:10\.4171/LEM/63\-3/4\-5](https://doi.org/10.4171/LEM/63-3/4-5)\.  
[577] B\. Springborn, P\. Schröder, and U\. Pinkall\.
  

**Conformal equivalence of triangle meshes\.**
  

*ACM Transactions on Graphics*, 2008\.
  

URL: [http://www\.multires\.caltech\.edu/pubs/ConfEquiv\.pdf](http://www.multires.caltech.edu/pubs/ConfEquiv.pdf), [doi:10\.1145/1360612\.1360676](https://doi.org/10.1145/1360612.1360676)\.  
[578] Boris Springborn\.
  

**A variational principle for weighted Delaunay triangulations and hyperideal polyhedra\.**
  

*J\. Differential Geom\.*, 78\(2\):333–367, 2008\.
  

URL: [http://projecteuclid\.org/euclid\.jdg/1203000270](http://projecteuclid.org/euclid.jdg/1203000270), [arXiv:math/0603097](https://arxiv.org/abs/math/0603097)\.  
[579] Boris Springborn\.
  

**Ideal Hyperbolic Polyhedra and Discrete Uniformization\.**
  

*Discrete Comput\. Geom\.*, September 2019\.
  

[arXiv:1707\.06848](https://arxiv.org/abs/1707.06848), [doi:10\.1007/s00454\-019\-00132\-8](https://doi.org/10.1007/s00454-019-00132-8)\.  
[580] Ananth Sridhar and Yuri B Suris\.
  

**Commutativity in Lagrangian and Hamiltonian mechanics\.**
  

*J\. Geom\. Phys\.*, 137:154–161, 2019\.
  

[arXiv:1801\.06076](https://arxiv.org/abs/1801.06076), [doi:10\.1016/j\.geomphys\.2018\.09\.019](https://doi.org/10.1016/j.geomphys.2018.09.019)\.  
[581] Sandro Belz Stefano Almi\.
  

**Consistent Finite\-Dimensional Approximation of Phase\-Field Models of Fracture\.**
  

*Ann\. Mat\. Pura Appl\. \(4\)*, 198\(4\):1191–1225, 2019\.
  

[arXiv:1707\.00578](https://arxiv.org/abs/1707.00578), [doi:10\.1007/s10231\-018\-0815\-z](https://doi.org/10.1007/s10231-018-0815-z)\.  
[582] Michael Strobel\.
  

**First Steps in Non\-standard Projective Geometry\.**
  

*Preprint*, March 2018\.
  

[arXiv:1804\.01850](https://arxiv.org/abs/1804.01850)\.  
[583] Michael Strobel\.
  

**Non\-standard Analysis in Projective Geometry\.**
  

Dissertation, Technische Universität München, 2018\.
  

URL: [http://mediatum\.ub\.tum\.de/1444961](http://mediatum.ub.tum.de/1444961)\.  
[584] Michael Strobel\.
  

**Non\-standard Analysis in Dynamic Geometry\.**
  

*Journal of Symbolic Computation: Special Issue on Dynamic Geometry and Automated Reasoning*, 2019\.
  

[arXiv:1801\.10507](https://arxiv.org/abs/1801.10507), [doi:10\.1016/j\.jsc\.2018\.12\.006](https://doi.org/10.1016/j.jsc.2018.12.006)\.  
[585] Xian Sun, Caigui Jiang, Johannes Wallner, and Helmut Pottmann\.
  

**Vertex normals and face curvatures of triangle meshes\.**
  

In A\. I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, 2016\.
  
  
[586] Yu\. B\. Suris\.
  

**Variational formulation of commuting Hamiltonian flows: multi\-time Lagrangian 1\-forms\.**
  

*J\. Geometric Mechanics*, 5\(3\):365–379, 2013\.
  

[arXiv:1212\.3314](https://arxiv.org/abs/1212.3314), [doi:10\.3934/jgm\.2013\.5\.365](https://doi.org/10.3934/jgm.2013.5.365)\.  
[587] Yu\. B\. Suris\.
  

**Variational symmetries and pluri\-Lagrangian systems\.**
  

In Th\. Hagen, F\. Rupp, and J\. Scheurle, editors, Dynamical Systems, Number Theory and Applications: A Festschrift in Honor of Professor Armin Leutbecher's 80th Birthday\.
World Scientific, Singapore, 2015\.
  

[arXiv:1307\.2639](https://arxiv.org/abs/1307.2639)\.  
[588] Yu\. B\. Suris and M\. Vermeeren\.
  

**On the Lagrangian structure of integrable hierarchies\.**
  

In A\.I\. Bobenko, editor, Advances in Discrete Differential Geometry\.
Springer, Berlin\-Heidelberg\-New York, 2016\.
  

[arXiv:1510\.03724](https://arxiv.org/abs/1510.03724)\.  
[589] Yuri B\. Suris\.
  

**Billiards in confocal quadrics as a pluri\-Lagrangian system\.**
  

*Theoretical and Applied Mechanics*, 43\(2\):221–228, 2016\.
  

[arXiv:1511\.06123](https://arxiv.org/abs/1511.06123), [doi:10\.2298/TAM160304008S](https://doi.org/10.2298/TAM160304008S)\.  
[590] Chengcheng Tang, Pengbo Bo, Johannes Wallner, and Helmut Pottmann\.
  

**Interactive design of developable surfaces\.**
  

*ACM Trans\. Graphics*, 2015\.
accepted\.
  
  
[591] Chengcheng Tang, Martin Kilian, Pengbo Bo, Johannes Wallner, and Helmut Pottmann\.
  

**Analysis and design of curved support structures\.**
  

In Sigrid Adriaenssens, Fabio Gramazio, Matthias Kohler, Achim Menges, and Mark Pauly, editors, Advances in Architectural Geometry 2016, pages 8–23\.
VDF Hochschulverlag, ETH Zürich, 2016\.
  
  
[592] Chengcheng Tang, Xiang Sun, Alexandra Gomes, Johannes Wallner, and Helmut Pottmann\.
  

**Form\-finding with Polyhedral Meshes Made Simple\.**
  

*ACM Trans\. Graphics*, 33\(4\):$\#$70,1–9, 2014\.
Proc\. SIGGRAPH\.
  

[doi:10\.1145/2601097\.2601213](https://doi.org/10.1145/2601097.2601213)\.  
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**Discrete confocal quadrics and checkerboard incircular nets\.**
  

Dissertation, TU Berlin, 2021\.
  

[doi:10\.1007/978\-3\-030\-81847\-0](https://doi.org/10.1007/978-3-030-81847-0)\.  
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**Math Revolution\.**
  

*Atlantic Daily*, March 2016\.
  

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**Conformal mesh deformations with Möbius transformations\.**
  

*ACM Trans\. Graphics*, 34:$\#$ 55, 1–11, 2015\.
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**Conformal mesh deformations with Möbius transformations\.**
  

*ACM Transactions on Graphics \(TOG\)*, 34\(4\):55, 2015\.
  

URL: [http://www\.geometrie\.tuwien\.ac\.at/geom/ig/publications/2015/conformal2015/conformal2015\.pdf](http://www.geometrie.tuwien.ac.at/geom/ig/publications/2015/conformal2015/conformal2015.pdf)\.  
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**Regular meshes from polygonal patterns\.**
  

*ACM Transactions on Graphics \(TOG\)*, 36\(4\):113, 2017\.
  

[doi:10\.1145/3072959\.3073593](https://doi.org/10.1145/3072959.3073593)\.  
[598] Amir Vaxman, Christian Müller, and Ofir Weber\.
  

**Canonical Möbius Subdivision\.**
  

*ACM Trans\. Graphics \(Proc\. SIGGRAPH ASIA\)*, 2018\.
  

URL: [http://www\.geometrie\.tuwien\.ac\.at/geom/ig/publications/moebiussubdivision/moebiussubdivision\.pdf](http://www.geometrie.tuwien.ac.at/geom/ig/publications/moebiussubdivision/moebiussubdivision.pdf)\.  
[599] Floor Verhoeven, Amir Vaxman, Tim Hoffmann, and Olga Sorkine\-Hornung\.
  

**Dev2PQ: Planar Quadrilateral Strip Remeshing of Developable Surfaces\.**
  

*ACM Transactions on Graphics \(TOG\)*, 41\(3\):29:1–18, 2022\.
  

[arXiv:2103\.00239](https://arxiv.org/abs/2103.00239), [doi:10\.1145/3510002](https://doi.org/10.1145/3510002)\.  
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**A dynamical solution to the Basel problem\.**
  

preprint, 2015\.
  

[arXiv:1506\.05288](https://arxiv.org/abs/1506.05288)\.  
[601] Mats Vermeeren\.
  

**Modified equations for variational integrators\.**
  

*Num\. Math\.*, 137:1001–1037, 2017\.
  

[arXiv:1505\.05411](https://arxiv.org/abs/1505.05411), [doi:10\.1007/s00211\-017\-0896\-4](https://doi.org/10.1007/s00211-017-0896-4)\.  
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**Numerical precession in variational discretizations of the Kepler problem\.**
  

In K\. Ebrahimi\-Fard and M\. Barbero Linan, editors, Discrete Mechanics, Geometric Integration and Lie–Butcher Series, pages 333–348\.
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[doi:10\.1007/978\-3\-030\-01397\-4\_10](https://doi.org/10.1007/978-3-030-01397-4_10)\.  
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**A variational perspective on continuum limits of ABS and lattice GD equations\.**
  

*SIGMA Symmetry Integrability Geom\. Methods Appl\.*, 15:044, 2019\.
  

[doi:10\.3842/SIGMA\.2019\.044](https://doi.org/10.3842/SIGMA.2019.044)\.  
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**Continuum limits of pluri\-Lagrangian systems\.**
  

*J\. Integrable Syst\.*, 4\(1\):1–34, February 2019\.
  

[arXiv:1706\.06830](https://arxiv.org/abs/1706.06830), [doi:10\.1093/integr/xyy020](https://doi.org/10.1093/integr/xyy020)\.  
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**Modified equations for variational integrators applied to Lagrangians linear in velocities\.**
  

*J\. Geom\. Mech\.*, 11\(1\):1–22, March 2019\.
  

[arXiv:1709\.09567](https://arxiv.org/abs/1709.09567), [doi:10\.3934/jgm\.2019001](https://doi.org/10.3934/jgm.2019001)\.  
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**Contact variational integrators\.**
  

*Journal of Physics A: Mathematical and Theoretical*, 52\(44\):445206, 2019\.
  

[doi:10\.1088/1751\-8121/ab4767](https://doi.org/10.1088/1751-8121/ab4767)\.  
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**A Discrete Hilbert Transform with Circle Packings\.**
  

Springer Spektrum, Weisbaden, 2017\.
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[doi:10\.1007/978\-3\-658\-20457\-0](https://doi.org/10.1007/978-3-658-20457-0)\.  
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In International Congress on Mathematical Software, 319–326\. Springer, 2016\.
  

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In International Congress on Mathematical Software, 327–334\. Springer, 2016\.
  

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**An Efficient Construction of Reduced Deformable Objects\.**
  

*ACM Trans\. Graph\.*, 32\(6\):213:1–213:10, November 2013\.
  

[doi:10\.1145/2508363\.2508392](https://doi.org/10.1145/2508363.2508392)\.  
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**The Impact of Applications on Mathematics\. Proceedings of the Forum of Mathematics for Industry 2013**, Japan, 2014\. Springer\.
  
  
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**Discrete Geodesic Parallel Coordinates\.**
  

*ACM Trans\. Graph\.*, 38\(6\):173:1–173:13, November 2019\.
  

[doi:10\.1145/3355089\.3356541](https://doi.org/10.1145/3355089.3356541), [dgd:607](https://www.discretization.de/publications/file/607)\.  
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**Discrete Line Congruences for Shading and Lighting\.**
  

*Computer Graphics Forum*, 32\(5\):53–62, 2013\.
Proc\. Symposium Geometry Processing\.
  

[doi:10\.1111/cgf\.12172](https://doi.org/10.1111/cgf.12172)\.  
[614] G\. Wechslberger\.
  

**Automatic Contour Deformation of Riemann\-Hilbert Problems\.**
  

Dissertation, TU Munich, July 2015\.
  

[dgd:192](https://www.discretization.de/publications/file/192)\.  
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**Automatic deformation of Riemann\-Hilbert problems with applications to the Painlevé II transcendents\.**
  

*Constr\. Approx\.*, 39\(1\):151–171, 2014\.
  

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**Automatic Deformation of Riemann–Hilbert Problems with Applications to the Painlevé II Transcendents\.**
  

*Constructive Approximation*, pages 1–21, June 2013\.
  

[arXiv:1206\.2446](https://arxiv.org/abs/1206.2446), [doi:10\.1007/s00365\-013\-9199\-x](https://doi.org/10.1007/s00365-013-9199-x)\.  
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**Filament\-based smoke with vortex shedding and variational reconnection\.**
  

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**Smoke Rings from Smoke\.**
  

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**Latent\-space physics: Towards learning the temporal evolution of fluid flow\.**
  

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**Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles\.**
  

*Nonlinearity, Volume 26, Number 6, pp\. 1799\-1822*, June 2013\.
  

[arXiv:1209\.2190](https://arxiv.org/abs/1209.2190), [doi:10\.1088/0951\-7715/26/6/1799](https://doi.org/10.1088/0951-7715/26/6/1799)\.  
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**tempogan: A temporally coherent, volumetric gan for super\-resolution fluid flow\.**
  

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**Mesh Denoising Based on Normal Voting Tensor and Binary Optimization\.**
  

*IEEE Transactions on Visualization and Computer Graphics*, 24\(8\):2366–2379, August 2018\.
  

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**Constraint\-based point set denoising using normal voting tensor and restricted quadratic error metrics\.**
  

*Computers and Graphics*, 74:234 – 243, 2018\.
  

[doi:10\.1016/j\.cag\.2018\.05\.014](https://doi.org/10.1016/j.cag.2018.05.014)\.  
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**"Surface Denoising Based on Normal Filtering in a Robust Statistics Framework"\.**
  

*"Proceedings of the Forum "Math\-for\-Industry" 2018"*, 35:103–132, 2021\.
  

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**Deep Virtual Stereo Odometry: Leveraging Deep Depth Prediction for Monocular Direct Sparse Odometry\.**
  

In European Conference on Computer Vision \(ECCV\), 817–833\. 2018\.
  

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**A Curvature and Density\-based Generative Representation of Shapes\.**
  

*Computer Graphics Forum*, October 2020\.
  

[doi:10\.1111/cgf\.14094](https://doi.org/10.1111/cgf.14094)\.  
[627] Zi Ye\.
  

**Discrete spin geometry for surface immersions\.**
  

Dissertation, TU München, 2019\.
  
  
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**A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing\.**
  

*Computer Graphics Forum*, 37\(5\):93–106, August 2018\.
  

[doi:10\.1111/cgf\.13494](https://doi.org/10.1111/cgf.13494)\.  
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**Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape\.**
  

*Calc\. Var\. PDE*, 44:81–100, 2012\.
  

[doi:10\.1007/s00526\-011\-0427\-6](https://doi.org/10.1007/s00526-011-0427-6)\.  
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**“What is Mathematics?” and why we should ask, where one should experience and learn that, and how to teach it\.**
  

In Proceedings of the 13th International Congress on Mathematical Education, 63–77\. Springer, November 2017\.
  

[doi:10\.1007/978\-3\-319\-62597\-3\_5](https://doi.org/10.1007/978-3-319-62597-3_5)\.  
[631] Günter M\. Ziegler\.
  

**Additive structures on f\-vector sets of polytopes\.**
  

*Advances in Geometry*, October 2018\.
Published online\.
  

[arXiv:1709\.02021](https://arxiv.org/abs/1709.02021)\.  
[632] Günter M\. Ziegler\.
  

**Die Superellipse\.**
  

In Mathematikkalender\. Meyerthole Siems Kohlruss Gesellschaft für aktuarische Beratung, August 2019\.
  
  
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**Mathematik als Sport\. Ein Gespräch mit Lisa Sauermann\.**
  

*Mitteilungen der Deutschen Mathematiker\-Vereinigung*, 28\(3\):162–170, 2020\.
  

[doi:10\.1515/dmvm\-2020\-0050](https://doi.org/10.1515/dmvm-2020-0050)\.  
[634] Günter M\. Ziegler and Andreas Loos\.
  

**Teaching and Learning "What is Mathematics"\.**
  

In Proc\. International Congress of Mathematicians, Seoul 2014, volume IV, pages 1201–1215\.
Kyung Moon Books, Seoul, Korea, 2014\.
  

[dgd:68](https://www.discretization.de/publications/file/68)\.  
[635] Günter M\. Ziegler and Andreas Loos\.
  

**ZEIT\-Akademie Mathematik\.**
  

Zeitverlag Gerd Bucerius, Hamburg, 2014\.
4 DVDs mit Begleitheft \(95 Seiten\)\.
  
  
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**Analysis of NVT\-based Point Set Denoising in Parameter Space\.**
  

In Computers & Graphics\. June 2018\.
  

URL: [https://ms\-math\-computer\.science/posters/2018\_smi\.pdf](https://ms-math-computer.science/posters/2018_smi.pdf)\.  
[637] Jonathan Zinsl\.
  

**Geodesically Convex Energies and Confinement of Solutions for a Multi\-Component System of Nonlocal Interaction Equations\.**
  

Submitted, 2014\.
  

[arXiv:1412\.3266](https://arxiv.org/abs/1412.3266)\.  
[638] Jonathan Zinsl and Daniel Matthes\.
  

**Exponential Convergence to Equilibrium in a Coupled Gradient Flow System Modelling Chemotaxis\.**
  

*Analysis & PDE*, 8\(2\):425–466, 2015\.
  

[arXiv:1310\.3977](https://arxiv.org/abs/1310.3977)\.  
[639] Jonathan Zinsl and Daniel Matthes\.
  

**Transport Distances and Geodesic Convexity for Systems of Degenerate Diffusion Equations\.**
  

*Calculus of Variations and Partial Differential Equations*, 2015\.
accepted\.
  

[arXiv:1409\.6520](https://arxiv.org/abs/1409.6520)\.  
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**Microstructures in low\-hysteresis shape memory alloys: scaling regimes and optimal needle shapes\.**
  

*Arch\. Ration\. Mech\. Anal\.*, 213\(2\):355–421, 2014\.
  

[doi:10\.1007/s00205\-014\-0736\-y](https://doi.org/10.1007/s00205-014-0736-y)\.