Publications of the SFB Transregio 109

Papers 2024
  • Anna Hartkopf, Stefan Auerbach, and Martin Skrodzki.
    Adopt a Polyeder, February 2024.
  • S. Jelbart.
    Rate and bifurcation induced transitions in asymptotically slow-fast systems.
    preprint, January 2024.
  • Tim Hoffmann, Andrew O. Sageman-Furnas, and Jannik Steinmeier.
    Skew parallelogram nets and universal factorization.
    preprint, January 2024.
  • B. Rahmani, S. Jelbart, V. Kirk, and J. Sneyd.
    Understanding broad-spike oscillations in a model of intracellular calcium dynamics.
    preprint, January 2024.
Papers 2023
  • Alexander I. Bobenko and Alexander Y. Fairley.
    Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences.
    preprint, December 2023.
  • Albert Chern and Oliver Gross.
    Force-Free Fields are Conformally Geodesic.
    preprint, December 2023.
  • Niklas C Affolter.
    Möbius invariant Y-systems (cluster structures) for Miquel dynamics.
    preprint, December 2023.
  • Alexander I. Bobenko and Carl O. R. Lutz.
    Decorated discrete conformal equivalence in non-Euclidean geometries.
    preprint, October 2023.
  • Felix Dellinger.
    Discrete Isothermic Nets Based on Checkerboard Patterns.
    Discrete & Computational Geometry, September 2023.
  • S. Jelbart and C. Kuehn.
    Extending discrete geometric singular perturbation theory to non-hyperbolic points.
    preprint, August 2023.
  • Hector Andrade-Loarca, Julius Hege, Daniel Cremers, and Gitta Kutyniok.
    Neural Poisson Surface Reconstruction: Resolution-Agnostic Shape Reconstruction from Point Clouds.
    preprint, August 2023.
  • Oliver Gross, Ulrich Pinkall, and Peter Schröder.
    Plasma Knots.
    Physics Letters A, August 2023.
  • Oliver Gross, Yousuf Soliman, Marcel Padilla, Felix Knöppel, Ulrich Pinkall, and Peter Schröder.
    Motion from Shape Change.
    ACM Transactions on Graphics, July 2023.
    URL:, doi:10.1145/3592417.
  • Felix Dellinger, Xinye Li, and Hui Wang.
    Discrete orthogonal structures.
    Computers & Graphics, June 2023.
  • Sergey V. Smirnov.
    Integral preserving discretization of 2D Toda lattices.
    Journal of Physics A: Mathematical and Theoretical, June 2023.
  • Alexander I. Bobenko and Carl O. R. Lutz.
    Decorated discrete conformal maps and convex polyhedral cusps.
    preprint, May 2023.
  • Carl O. R. Lutz.
    Canonical tessellations of decorated hyperbolic surfaces.
    Geom Dedicata, 217(14):1–37, April 2023.
    arXiv:2206.13461, doi:10.1007/s10711-022-00746-y.
  • Janusz Ginster and Barbara Zwicknagl.
    Energy Scaling Laws for Microstructures: From Helimagnets to Martensites.
    cvgmt preprint, April 2023.
  • Hana Dal Poz Kouřimská.
    Discrete Yamabe Problem for Polyhedral Surfaces.
    Discrete & Computational Geometry, March 2023.
    arXiv:2103.15693, doi:10.1007/s00454-023-00484-2.
  • Samuel Jelbart and Christian Kuehn.
    A Formal Geometric Blow-up Method for Pattern Forming Systems.
    preprint, February 2023.
  • D. Liu, D. Pellis, Y.-C. Chiang, F. Rist, J. Wallner, and H. Pottmann.
    Deployable strip structures.
    ACM Trans. Graph., pages 1–16, 2023.
  • 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.
  • 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.
  • Romain Grunert, Wolfgang Kühnel, and Günter Rote.
    Pl Morse theory in low dimensions.
    Advances in Geometry, 23(1):135–150, January 2023.
    URL:, arXiv:1912.05054.
Papers 2022
  • Janusz Ginster and Barbara Zwicknagl.
    Energy Scaling Law for a Singularly Perturbed Four-Gradient Problem in Helimagnetism.
    Journal of Nonlinear Science, December 2022.
  • Anna Maria Hartkopf and Erin Henning.
    Über die Wissenschaft der Wissenschaftskommunikation in Mathematik.
    Mitteilungen der Deutschen Mathematiker-Vereinigung, 30(4):261–265, December 2022.
  • 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.
  • Marcel Padilla, Oliver Gross, Felix Knöppel, Ulrich Pinkall, and Peter Schröder.
    Filament based plasma.
    ACM Transactions on Graphics, July 2022.
  • Felix Hummel, Samuel Jelbart, and Christian Kuehn.
    Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation.
    preprint, July 2022.
  • Niklas Christoph Affolter, Béatrice de Tilière, and Paul Melotti.
    The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions.
    Combinatoral Theory, July 2022.
    URL:, arXiv:2208.00239.
  • Niklas Christoph Affolter, Béatrice de Tilière, and Paul Melotti.
    The Schwarzian octahedron recurrence (dSKP equation) II: geometric systems.
    preprint, July 2022.
  • Tim Hoffmann, Wolfgang K Schief, and Jannik Steinmeier.
    On Discrete Conjugate Semi-Geodesic Nets.
    International Mathematics Research Notices, June 2022.
  • Patrick Schnell, Philipp Holl, and Nils Thuerey.
    Half-Inverse Gradients for Physical Deep Learning.
    International Conference on Learning Representations, March 2022.
  • Héctor Andrade-Loarca, Gitta Kutyniok, Ozan Öktem, and Philipp Petersen.
    Deep microlocal reconstruction for limited-angle tomography.
    Applied and Computational Harmonic Analysis, January 2022.
  • Samuel Jelbart and Christian Kuehn.
    Discrete Geometric Singular Perturbation Theory.
    Discrete and Continuous Dynamical Systems, January 2022.
Papers 2021
  • 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.
  • Alexander I. Bobenko, Tim Hoffmann, and Andrew O. Sageman-Furnas.
    Compact Bonnet Pairs: isometric tori with the same curvatures.
    preprint, October 2021.
  • 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.
  • Niklas Affolter, Terrence George, and Sanjay Ramassamy.
    Cross-ratio dynamics and the dimer cluster integrable system.
    preprint, August 2021.
  • Mark Gillespie, Boris Springborn, and Keenan Crane.
    Discrete Conformal Equivalence of Polyhedral Surfaces.
    ACM Trans. Graph., 40(4):103:1–103:20, August 2021.
  • Martin Skrodzki, Ulrich Reitebuch, and Eric Zimmermann.
    Investigations of structures in the parameter space of three-dimensional Turing-like patterns.
    HAL, July 2021.
  • 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, doi:10.1007/s10711-021-00621-2.
  • Mauro Bonafini, Massimo Fornasier, and Bernhard Schmitzer.
    Data-driven entropic spatially inhomogeneous evolutionary games.
    preprint, March 2021.
  • Samuel Jelbart, Kristian Uldall Kristiansen, and Martin Wechselberger.
    Singularly perturbed boundary-equilibrium bifurcations.
    Nonlinearity, March 2021.
  • "Martin Skrodzki and Eric Zimmermann".
    "A Large-Scale Evaluation Of Shape-Aware Neighborhood Weights And Neighborhood Sizes".
    "Computer-Aided Design", 141:103107, 2021.
  • Sunil Kumar Yadav, Martin Skrodzki, Eric Zimmermann, and Konrad Polthier.
    "Surface Denoising Based on Normal Filtering in a Robust Statistics Framework".
    "Proceedings of the Forum "Math-for-Industry" 2018", 35:103–132, 2021.
  • 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, doi:10.1142/S0218202521500020.
Papers 2020
  • Alexander I. Bobenko, Carl O. R. Lutz, Helmut Pottmann, and Jan Techter.
    Non-Euclidean Laguerre geometry and incircular nets.
    preprint, September 2020.
  • 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, doi:10.1007/s00454-020-00240-w.
  • Martin Skrodzki, Eric Zimmermann, and Konrad Polthier.
    Variational shape approximation of point set surfaces.
    Computer Aided Geometric Design, June 2020.
    arXiv:2005.01003, doi:10.1016/j.cagd.2020.101875.
  • Thilo Rörig and Gudrun Szewieczek.
    The Ribaucour families of discrete R-congruences.
    preprint, April 2020.
  • 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.
  • M. Engel and H. Jardon-Kojakhmetov.
    Extended and symmetric loss of stability for canards in planar fast-slow maps.
    preprint, January 2020.
  • Günter M. Ziegler.
    Mathematik als Sport. Ein Gespräch mit Lisa Sauermann.
    Mitteilungen der Deutschen Mathematiker-Vereinigung, 28(3):162–170, 2020.
  • F. Krahmer, C. Kuehn, and N. Sissouno.
    Predicting sparse circle maps from their dynamics.
    preprint, January 2020.
Papers 2019
  • Sergey I. Agafonov.
    Confocal conics and 4-webs of maximal rank.
    preprint, December 2019.
  • M. Engel and C. Kuehn.
    A random dynamical systems perspective on isochronicity for stochastic oscillations.
    preprint, November 2019.
  • 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, dgd:608.
  • Hui Wang, Davide Pellis, Florian Rist, Helmut Pottmann, and Christian Müller.
    Discrete Geodesic Parallel Coordinates.
    ACM Trans. Graph., 38(6):173:1–173:13, November 2019.
    doi:10.1145/3355089.3356541, dgd:607.
  • Alexander I. Bobenko and Alexander Y. Fairley.
    Nets of lines with the combinatorics of the square grid and with touching inscribed conics.
    preprint, November 2019.
  • Olga Graf, Felix Krahmer, and Sara Krause-Solberg.
    One-Bit Sigma-Delta modulation on the circle.
    preprint, November 2019.
  • Alexander I. Bobenko, Tim Hoffmann, and Thilo Rörig.
    Orthogonal ring patterns.
    preprint, November 2019.
    arXiv:1911.07095, dgd:588.
  • 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.
  • Anna M Hartkopf.
    Developments towards Mathematical Citizen Science.
    In Forum Citizen Science 2019, 53–58. OSF, September 2019.
  • Boris Springborn.
    Ideal Hyperbolic Polyhedra and Discrete Uniformization.
    Discrete Comput. Geom., September 2019.
    arXiv:1707.06848, doi:10.1007/s00454-019-00132-8.
  • M. Cicalese and G.P. Leonardi.
    Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities.
    Commun. Math. Phys., September 2019. preprint.
  • 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, dgd:442.
  • 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.
  • 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.
  • 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.
  • Herbert Edelsbrunner and Katharina Ölsböck.
    Holes and dependences in an ordered complex.
    Computer Aided Geometric Design, August 2019.
  • Ulrich Bauer.
    Ripser: efficient computation of Vietoris-Rips persistence barcodes.
    preprint, August 2019.
  • Niklas Affolter, Max Glick, Pavlo Pylyavskyy, and Sanjay Ramassamy.
    Vector-relation configurations and plabic graphs.
    Selecta Mathematica, August 2019.
    URL:, arXiv:1908.06959.
  • 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.
  • M. Engel, C. Kuehn, M. Petrera, and Y. Suris.
    Discretized fast-slow systems with canard points in two dimensions.
    preprint, July 2019.
  • 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, doi:10.1098/rspa.2019.0173.
  • 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.
  • 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, doi:10.1007/s10444-019-09679-9.
  • 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, doi:10.1088/1361-6420/ab10ca.
  • 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, doi:10.3934/dcds.2019120.
  • 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.
  • M. Engel and C. Kuehn.
    Discretized fast-slow systems near transcritical singularities.
    Nonlinearity, Vol. 32, No. 7, 2365-2391, May 2019.
  • 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, doi:10.1007/s00454-019-00101-1.
  • Alexander I. Bobenko, Wolfgang K. Schief, and Jan Techter.
    Checkerboard incircular nets: Laguerre geometry and parametrisation.
    Geometriae Dedicata, April 2019.
    arXiv:1808.07254, doi:10.1007/s10711-019-00449-x.
  • Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, and Johan Steen.
    Cotorsion torsion triples and the representation theory of filtered hierarchical clustering.
    preprint, April 2019.
  • Hildeberto Jardón-Kojakhmetov and Christian Kuehn.
    On fast-slow consensus networks with a dynamic weight.
    preprint, April 2019.
  • Albert Chern.
    A Reflectionless Discrete Perfectly Matched Layer.
    With minor revision accepted by Journal of Computational Physics., March 2019.
  • 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.
  • Mats Vermeeren.
    Modified equations for variational integrators applied to Lagrangians linear in velocities.
    J. Geom. Mech., 11(1):1–22, March 2019.
    arXiv:1709.09567, doi:10.3934/jgm.2019001.
  • Mats Vermeeren.
    Continuum limits of pluri-Lagrangian systems.
    J. Integrable Syst., 4(1):1–34, February 2019.
    arXiv:1706.06830, doi:10.1093/integr/xyy020.
  • 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.
  • A. Bach, M. Cicalese, and M. Ruf.
    Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size.
    preprint, February 2019.
  • Pavle V. M. Blagojević, Albert Haase, and Günter M. Ziegler.
    Tverberg-Type Theorems for Matroids: A Counterexample and a Proof.
    Combinatorica, February 2019.
  • Oliver Junge and Benjamin Söllner.
    A convergent Lagrangian discretization for $p$-Laplace and flux-limited diffusion equations.
    preprint, 2019.
  • 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.
  • P. Degond, M.Engel, J.Liu, and R. Pego.
    A Markov jump process modelling animal group size statistics.
    Communications in Mathematical Sciences, January 2019.
  • H. Jardon-Kojakhmetov and C. Kuehn.
    A survey on the blow-up method for fast-slow systems.
    Preprint, 2019.
  • 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, doi:10.1007/s00205-019-01369-6.
  • Mats Vermeeren.
    A variational perspective on continuum limits of ABS and lattice GD equations.
    SIGMA Symmetry Integrability Geom. Methods Appl., 15:044, 2019.
  • Sandra Keiper.
    Approximation of generalized ridge functions in high dimensions.
    Journal of Approximation Theory, 245:101–129, 2019.
  • Gero Friesecke, Daniel Matthes, and Bernhard Schmitzer.
    Barycenters for the Hellinger–Kantorovich distance over $\mathbb R^d$.
    preprint at arXiv, 2019.
  • 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, doi:10.1007/s00220-019-03298-7.
  • 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.
  • 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.
  • Max Krause and John M. Sullivan.
    Classification of small links in the unmarked solid torus.
    Preprint, 2019.
  • Ananth Sridhar and Yuri B Suris.
    Commutativity in Lagrangian and Hamiltonian mechanics.
    J. Geom. Phys., 137:154–161, 2019.
    arXiv:1801.06076, doi:10.1016/j.geomphys.2018.09.019.
  • 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, doi:10.1007/s10231-018-0815-z.
  • Mats Vermeeren, Alessandro Bravetti, and Marcello Seri.
    Contact variational integrators.
    Journal of Physics A: Mathematical and Theoretical, 52(44):445206, 2019.
  • Hana Kouřimská and Boris Springborn.
    Discrete Yamabe problem for polyhedral surfaces.
    Preprint, 2019.
  • Daniel Matthes and Benjamin Söllner.
    Discretization of Flux-Limited Gradient Flows: Γ-convergence and numerical schemes.
    preprint, 2019.
  • 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:, doi:10.1007/s00454-019-00098-7.
  • 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.
  • Albert Chern, Felix Knöppel, Franz Pedit, Ulrich Pinkall, and Peter Schröder.
    Finding Conformal and Isometric Immersions of Surfaces.
    Preprint, January 2019.
  • 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, doi:10.1137/1.9781611975482.165.
  • 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.
  • 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.
  • Thomas Frerix, Matthias Nießner, and Daniel Cremers.
    Homogeneous Linear Inequality Constraints for Neural Network Activations.
    Preprint, 2019.
  • Alexander Bobenko and Yuri Suris.
    Integrable linear systems on quad-graphs.
    preprint, 2019.
  • Steffen Wiewel, Moritz Becher, and Nils Thuerey.
    Latent-space physics: Towards learning the temporal evolution of fluid flow.
    In Computer Graphics Forum, volume 38. Wiley Online Library, 2019.
  • C. Kuehn.
    Multiscale dynamics of an adaptive catalytic network model.
    Math. Model. Nat. Pheno., 14(4):402, 2019.
  • 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.
  • Michael Strobel.
    Non-standard Analysis in Dynamic Geometry.
    Journal of Symbolic Computation: Special Issue on Dynamic Geometry and Automated Reasoning, 2019.
    arXiv:1801.10507, doi:10.1016/j.jsc.2018.12.006.
  • 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.
  • U. Bücking.
    On rigidity and convergence of circle patterns.
    Discrete Comput. Geom., 61(2):380–420, 2019.
  • Ayush Bhandari, Felix Krahmer, and Ramesh Raskar.
    On Unlimited Sampling and Reconstruction.
    Preprint, 2019.
  • 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, doi:10.1137/18M118709X.
  • F. Krahmer, C. Kühn, and N. Sissouno.
    Predicting sparse circle maps from their dynamics.
    preprint, 2019.
  • Axel Flinth and Sandra Keiper.
    Recovery of binary sparse signals with biased measurement matrices.
    IEEE Transactions on Information Theory, 2019.
  • Michael Joswig, Robert Löwe, and Boris Springborn.
    Secondary fans and secondary polyhedra of punctured Riemann surfaces.
    Exp. Math., 2019.
    arXiv:1708.08714, doi:10.1080/10586458.2018.1477078.
  • Lars Kastner and Robert Löwe.
    The Newton polytope of the discriminant of a cubic quaternary form.
    Preprint, 2019.
  • Julian Fischer and Daniel Matthes.
    The waiting time phenomenon in spatially discretized porous medium and thin film equations.
    preprint at arXiv, 2019.
  • 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.
  • Matteo Petrera and Mats Vermeeren.
    Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs.
    preprint, 2019.
  • D. Pellis, M. Kilian, F. Dellinger, J. Wallner, and H. Pottmann.
    Visual Smoothness of polyhedral surfaces.
    ACM Trans. Graphics, 2019.
Papers 2018
  • 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:, arXiv:1604.00655v3, doi:10.2140/agt.2018.18.3133.
  • 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, doi:10.1007/s00454-018-0008-y.
  • 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, doi:10.1093/imrn/rny279.
  • 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.
    URL:, doi:10.1145/3272127.3275088.
  • Günter M. Ziegler.
    Additive structures on f-vector sets of polytopes.
    Advances in Geometry, October 2018. Published online.
  • Albert Chern, Felix Knöppel, Franz Pedit, and Ulrich Pinkall.
    Commuting Hamiltonian flows of curves in real space forms.
    Preprint, September 2018.
    arXiv:1809.01394, dgd:493.
  • Spencer Backman, Sebastian Manecke, and Raman Sanyal.
    Cone valuations, Gram's relation, and flag-angles.
    Preprint, September 2018.
  • 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.
  • 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.
  • Marco Cicalese, Antoine Gloria, and Matthias Ruf.
    From statistical polymer physics to nonlinear elasticity.
    preprint, September 2018.
  • Zi Ye, Olga Diamanti, Chengcheng Tang, Leonidas Guibas, and Tim Hoffmann.
    A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing.
    Computer Graphics Forum, 37(5):93–106, August 2018.
  • Aaron Montag and Jürgen Richter-Gebert.
    Bringing Together Dynamic Geometry Software and the Graphics Processing Unit.
    preprint, August 2018.
  • Ulrike Bücking.
    Conformally symmetric triangular lattices and discrete θ-conformal maps.
    preprint, August 2018.
  • 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.
  • 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, doi:10.1088/1361-6544/aad208.
  • Sunil Kumar Yadav, Ulrich Reitebuch, and Konrad Polthier.
    Mesh Denoising Based on Normal Voting Tensor and Binary Optimization.
    IEEE Transactions on Visualization and Computer Graphics, 24(8):2366–2379, August 2018.
  • Niklas C Affolter.
    Miquel Dynamics, Clifford Lattices and the Dimer Model.
    Letters in Mathematical Physics, August 2018.
    URL:, arXiv:1808.04227.
  • 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:, doi:10.1109/SSP.2018.8450721.
  • Albert Chern, Felix Knöppel, Ulrich Pinkall, and Peter Schröder.
    Shape from Metric.
    ACM Trans. Graph., 37(4):63:1–63:17, August 2018.
    URL:, doi:10.1145/3197517.3201276.
  • Daniel Matthes and Simon Plazotta.
    A Variational Formulation of the BDF2 Method for Metric Gradient Flows.
    ESAIM: M2AN, Forthcoming article, July 2018.
  • 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.
  • 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.
  • Tomas Sauer Mariantonia Cotronei, Caroline Moosmüller and Nada Sissouno.
    Level-Dependent Interpolatory Hermite Subdivision Schemes and Wavelets.
    Constructive Approximation, July 2018.
  • Mark A. Iwen, Felix Krahmer, Sara Krause-Solberg, and Johannes Maly.
    On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds.
    preprint, July 2018.
  • Ulrike Bücking.
    $C^\infty $-convergence of conformal mappings for conformally equivalent triangular lattices.
    Results in Mathematics, 73(2):84, June 2018.
    arXiv:1706.09145, doi:10.1007/s00025-018-0845-2.
  • 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.
  • 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.
  • Hannah Sjöberg and Günter M. Ziegler.
    Characterizing face and flag vector pairs for polytopes.
    Preprint, March 2018.
  • B. Bodmann, A. Flinth, and G. Kutyniok.
    Compressed Sensing for Analog Signals.
    preprint, March 2018.
  • 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.
  • Michael Strobel.
    First Steps in Non-standard Projective Geometry.
    Preprint, March 2018.
  • Moritz Firsching.
    The complete enumeration of $4$-polytopes and $3$-spheres with nine vertices.
    Preprint, March 2018.
  • 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.
  • Tim Hoffmann and Zi Ye.
    A discrete extrinsic and intrinsic Dirac operator.
    Preprint, February 2018.
  • 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, doi:10.1016/j.image.2017.11.001.
  • 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, doi:10.1090/mcom/3300.
  • 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, doi:10.1007/s11005-017-1004-5.
  • 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.
  • 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, doi:10.1016/j.jsc.2018.06.016.
  • Davide Pellis and Helmut Pottmann.
    Aligning principal stress and curvature directions.
    Advances in Architectural Geometry, pages 34–53, 2018.
  • Jean-Philippe Labbé and Carsten Lange.
    Cambrian acyclic domains: counting $c$-singletons.
    Preprint, 2018.
  • Amir Vaxman, Christian Müller, and Ofir Weber.
    Canonical Möbius Subdivision.
    ACM Trans. Graphics (Proc. SIGGRAPH ASIA), 2018.
  • Holger Eble, Michael Joswig, Lisa Lamberti, and Will Ludington.
    Cluster partitions and fitness landscapes of the Drosophila fly microbiome.
    Preprint, 2018.
  • 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.
  • Håvard Bakke Bjerkevik, Magnus Bakke Botnan, and Michael Kerber.
    Computing the interleaving distance is NP-hard.
    preprint, 2018.
  • Sunil Kumar Yadav, Ulrich Reitebuch, Martin Skrodzki, Eric Zimmermann, and Konrad Polthier.
    Constraint-based point set denoising using normal voting tensor and restricted quadratic error metrics.
    Computers and Graphics, 74:234 – 243, 2018.
  • 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.
  • N. Yang, R. Wang, J. Stueckler, and D. Cremers.
    Deep Virtual Stereo Odometry: Leveraging Deep Depth Prediction for Monocular Direct Sparse Odometry.
    In European Conference on Computer Vision (ECCV), 817–833. 2018.
  • Z. Lähner, D. Cremers, and T. Tung.
    DeepWrinkles: Accurate and Realistic Clothing Modeling.
    In European Conference on Computer Vision (ECCV), 667–684. 2018.
  • 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.
  • Chi-Han Peng, Helmut Pottmann, and Peter Wonka.
    Designing patterns using triangle-quad hybrid meshes.
    ACM Trans. Graphics, 37(4):14, 2018. Proc. SIGGRAPH.
  • 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:, doi:10.1016/j.cagd.2018.03.011.
  • 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:, doi:10.1073/pnas.1713841115.
  • 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.
  • Arseniy Akopyan and Alexander Bobenko.
    Incircular nets and confocal conics.
    Transactions of the American Mathematical Society, 370(4):2825–2854, 2018.
    arXiv:1602.04637, doi:10.1090/tran/7292.
  • 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, doi:10.1137/17M1142132.
  • 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.
  • 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.
  • Mats Vermeeren.
    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. Springer, Cham, 2018.
  • 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, doi:10.1016/j.neunet.2018.08.019.
  • 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, doi:10.1007/s13366-017-0351-9.
  • Charles Jordan, Michael Joswig, and Lars Kastner.
    Parallel enumeration of triangulations.
    Electron. J. Combin., 25(3):Paper 3.6, 27, 2018.
    URL:, arXiv:1709.04746.
  • Ulrich Bauer and Florian Pausinger.
    Persistent Betti numbers of random Čech complexes.
    preprint, January 2018.
  • Michael Joswig and Ben Smith.
    Polyhedral Tropical Geometry of Higher Rank.
    preprint, 2018.
  • Herbert Edelsbrunner and Anton Nikitenko.
    Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics.
    Ann. Appl. Probab., 28(5):3215–3238, 2018.
  • Timo Burggraf, Michael Joswig, Marc E. Pfetsch, Manuel Radons, and Stefan Ulbrich.
    Semi-automatically optimized calibration of internal combustion engines.
    Preprint, 2018.
  • 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.
  • You Xie, Erik Franz, Mengyu Chu, and Nils Thuerey.
    tempogan: A temporally coherent, volumetric gan for super-resolution fluid flow.
    TOG, 37(4):95, 2018.
  • Michael Joswig and Benjamin Schrüter.
    The degree of a tropical basis.
    Proc. Amer. Math. Soc., 146(3):961–970, 2018.
    arXiv:1511.08123, doi:10.1090/proc/13787.
  • Ulrich Bauer, Claudia Landi, and Facundo Memoli.
    The Reeb Graph Edit Distance is Universal.
    preprint, January 2018.
  • 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.
  • 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, doi:10.1016/j.jcta.2018.05.007.
Papers 2017
  • 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.
  • 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.
  • 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, doi:10.1016/j.laa.2017.07.006.
  • Hannah Sjöberg and Günter M. Ziegler.
    Semi-algebraic sets of $f$-vectors.
    Preprint, November 2017.
  • Günter M Ziegler and Andreas Loos.
    “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.
  • M. Genzel, G. Kutyniok, and M. März.
    $\ell ^1$-Analysis Minimization and Generalized (Co-)Sparsity: When Does Recovery Succeed?
    preprint, October 2017.
  • Pavle V. M. Blagojević, Nevena Palić, and Günter M. Ziegler.
    Cutting a part from many measures.
    Preprint, 15 pages, October 2017.
  • Matthias Ruf.
    Motion of discrete interfaces in low-contrast random environments.
    ESAIM: COCV, Volume 24, Number 3, July–September 2018, October 2017.
  • Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jablonski, and Marian Mrozek.
    Persistence in sampled dynamical systems faster.
    Preprint, September 2017.
  • Pavle V. M. Blagojević and Pablo Soberón.
    Thieves can make sandwiches.
    preprint, September 2017.
    arXiv:arXiv:1706.03640, doi:10.1112/blms.12109.
  • 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.
  • 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.
  • 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.
  • Ulrich Pinkall and Jonas Tervooren.
    A Weierstrass representation for 2D elasticity.
    preprint, June 2017.
  • G. Friesecke L. De Luca.
    Crystallization in two dimensions and a discrete Gauss-Bonnet theorem.
    J Nonlinear Sci 28, 69-90, 2017, June 2017.
  • 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:, doi:10.1145/3099564.3099569.
  • 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.
  • 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, doi:10.1007/978-3-319-44479-6_11.
  • 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.
    URL:, arXiv:1705.01053.
  • 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.
  • Daniel Matthes and Benjamin Söllner.
    Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation.
    Innovative Algorithms and Analysis pp 313-351, March 2017.
  • Felix Günther, Caigui Jiang, and Helmut Pottmann.
    Smooth polyhedral surfaces.
    preprint, March 2017.
  • A. Braides and M. Cicalese.
    Interfaces, modulated phases and textures in lattice systems.
    Arch. Rat. Mech. Anal., 223, (2017), 977-1017, February 2017.
  • Alexander I Bobenko, Emanuel Huhnen-Venedey, and Thilo Rörig.
    Supercyclidic nets.
    International Mathematics Research Notices, 2017(2):323–371, February 2017.
    arXiv:1412.7422, doi:10.1093/imrn/rnv328.
  • 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, doi:10.1098/rspa.2016.0535.
  • 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, doi:10.1093/imrn/rnw015.
  • 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, doi:10.1112/S0025579316000267.
  • 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, doi:10.1137/16M1056560.
  • 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, doi:10.1016/j.acha.2017.06.002.
  • 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, doi:10.1093/imrn/rnx184.
  • Katharina Jochemko and Raman Sanyal.
    Combinatorial mixed valuations.
    Advances in Mathematics, 319:630–652, 2017.
    arXiv:1605.07431, doi:10.1016/j.aim.2017.08.032.
  • F. Knöppel and U. Pinkall.
    Complex Line Bundles over Simplicial Complexes and their Applications.
    In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, January 2017.
  • 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, doi:10.1007/s12532-016-0104-z.
  • 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.
  • 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.
  • Alexander I Bobenko and Felix Günther.
    Discrete Riemann surfaces based on quadrilateral cellular decompositions.
    Advances in Mathematics, 311:885–932, 2017.
    arXiv:1511.00652, doi:10.1016/j.aim.2017.03.010.
  • Konstantin Poelke and Konrad Polthier.
    Discrete Topology-Revealing Vector Fields on Simplicial Surfaces with Boundary.
    In Proc. of TopoInVis 2017. 2017.
  • 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.
  • 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.
  • Francesco Grande, Arnau Padrol, and Raman Sanyal.
    Extension complexity and realization spaces of hypersimplices.
    Discrete Comput Geom, 2017.
    arXiv:1601.02416, doi:10.1007/s00454-017-9925-4.
  • 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.
  • 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.
  • 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.
  • Raman Sanyal and Christian Stump.
    Lipschitz polytopes of posets and permutation statistics.
    Preprint, 2017.
  • Martin Kilian, Davide Pellis, Johannes Wallner, and Helmut Pottmann.
    Material-minimizing forms and structures.
    ACM Trans. Graphics, 36(6):article 173, 2017. Proc. SIGGRAPH Asia.
  • Michael Joswig and Benjamin Schröter.
    Matroids from hypersimplex splits.
    Journal of Combinatorial Theory, Series A, 151:254–284, 2017.
    arXiv:1607.06291, doi:10.1016/j.jcta.2017.05.001.
  • 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:, doi:10.1117/12.2272490.
  • Florian Frick and Raman Sanyal.
    Minkowski complexes and convex threshold dimension.
    Journal of Combinatorial Theory, Series A, 151:202–206, 2017.
    URL:, arXiv:1607.07814.
  • Christian Haase, Martina Juhnke-Kubitzke, Raman Sanyal, and Thorsten Theobald.
    Mixed Ehrhart polynomials.
    Electron. J. Combin., 24(Issue 1):Paper #P1.10, 2017.
    URL:, arXiv:1509.02254.
  • Mats Vermeeren.
    Modified equations for variational integrators.
    Num. Math., 137:1001–1037, 2017.
    arXiv:1505.05411, doi:10.1007/s00211-017-0896-4.
  • Michael Joswig and Georg Loho.
    Monomial tropical cones for multicriteria optimization.
    Preprint, 2017.
  • 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, doi:10.1088/1751-8121/aa6a0f.
  • Giulia Codenotti, Lukas Katthän, and Raman Sanyal.
    On $f$- and $h$-vectors of relative simplicial complexes.
    Preprint, 2017.
  • Laura Gellert and Raman Sanyal.
    On degree sequences of undirected, directed, and bidirected graphs.
    European Journal of Combinatorics, 64:113–124, 2017.
    URL:, arXiv:1512.08448.
  • 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, doi:10.1007/s11005-017-0976-5.
  • 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, doi:10.1080/10586458.2016.1166354.
  • Ulrich Bauer, Michael Kerber, Jan Reininghaus, and Hubert Wagner.
    Phat-persistent homology algorithms toolbox.
    J. Symbolic Comput., 78:76–90, 2017.
    URL:, doi:10.1016/j.jsc.2016.03.008.
  • 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.
  • Stefan Born, Ulrike Bücking, and Boris Springborn.
    Quasiconformal Dilatation of Projective Transformations and Discrete Conformal Maps.
    Discrete & Computational Geometry, 57(2):305–317, 2017.
  • Moritz Firsching.
    Realizability and Inscribability for Simplicial Polytopes via Nonlinear Optimization.
    Mathematical Programming, 166(1-2):273–295, 2017.
    arXiv:1508.02531, doi:10.1007/s10107-017-1120-0.
  • Tobias Friedl, Cordian Riener, and Raman Sanyal.
    Reflection groups, reflection arrangements, and invariant real varieties.
    Proceedings of the American Mathematical Society, 2017.
    URL:, arXiv:1602.06732, doi:10.1090/proc/13821.
  • Amir Vaxman, Christian Müller, and Ofir Weber.
    Regular meshes from polygonal patterns.
    ACM Transactions on Graphics (TOG), 36(4):113, 2017.
  • Lauri Loiskekoski and Günter M Ziegler.
    Simple polytopes without small separators.
    Israel Journal of Mathematics, 221(2):731–739, 2017.
    arXiv:1510.00511, doi:10.1007/s11856-017-1572-1.
  • Lauri Loiskekoski and Günter M. Ziegler.
    Simple polytopes without small separators, II: Thurston's bound.
    Preprint, Israel J. Math., to appear, 2017.
  • B. Springborn.
    The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms.
    Enseign. Math., 63(3-4):333–373, 2017.
  • 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, doi:10.1090/tran/6991.
  • D. Jüstel.
    The Zak transform on strongly proper G-spaces and its applications.
    Journal of the London Math. Society, 97:47–76, 2017.
  • Francesco Grande and Raman Sanyal.
    Theta rank, levelness, and matroid minors.
    J. Combin. Theory Ser. B, 123:1–31, 2017.
    arXiv:1408.1262, doi:10.1016/j.jctb.2016.11.002.
  • 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.
  • 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.
  • Pavle V. M. Blagojević, Albert Haase, and Günter M. Ziegler.
    Tverberg-type theorems for matroids: A counterexample and a proof.
    Preprint, 2017.
  • Thomas Chappell, Tobias Friedl, and Raman Sanyal.
    Two double poset polytopes.
    SIAM Journal on Discrete Mathematics, 31(4):2378–2413, 2017.
    URL:, arXiv:1606.04938.
  • 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, doi:10.1080/14029251.2017.1418058.
Papers 2016
  • 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, doi:10.1093/imrn/rnw267.
  • 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.
  • Ulrich Bauer and Michael Lesnick.
    Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem.
    Preprint, November 2016.
  • 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.
  • 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, doi:10.1007/s00454-016-9802-6.
  • 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.
  • Aaron Montag and Jürgen Richter-Gebert.
    CindyGL: Authoring GPU-Based Interactive Mathematical Content.
    ICMS 2016: Mathematical Software – ICMS 2016 pp 359-365, July 2016.
  • 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.
  • 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.
  • 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.
  • Peg Tyre.
    Math Revolution.
    Atlantic Daily, March 2016.
  • 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.
  • Matteo Petrera and Yuri B Suris.
    A construction of commuting systems of integrable symplectic birational maps.
    Preprint, 2016.
  • Matteo Petrera and Yuri B Suris.
    A construction of commuting systems of integrable symplectic birational maps. Lie-Poisson case.
    Preprint, 2016.
  • 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, doi:10.1214/15-AAP1121.
  • Karim Adiprasito and Arnau Padrol.
    A universality theorem for projectively unique polytopes and a conjecture of Shephard.
    Israel J. Math., 211:239–255, 2016.
  • H. Kourimska, L. Skuppin, and B. Springborn.
    A variational principle for cyclic polygons with prescribed edge lengths.
    In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
  • 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.
  • U. Bücking.
    Approximation of conformal mappings using confomally equivalent triangular lattices.
    In A. I. Bobenko, editor, Advances in Discrete Differential Geometry. Springer, 2016.
  • Yuri B. Suris.
    Billiards in confocal quadrics as a pluri-Lagrangian system.
    Theoretical and Applied Mechanics, 43(2):221–228, 2016.
    arXiv:1511.06123, doi:10.2298/TAM160304008S.
  • Konstantin Poelke and Konrad Polthier.
    Boundary-aware Hodge decompositions for piecewise constant vector fields.
    Computer-Aided Design, 78:126 – 136, 2016.
  • 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.
  • Martin von Gagern, Ulrich Kortenkamp, Jürgen Richter-Gebert, and Michael Strobel.
    In International Congress on Mathematical Software, 319–326. Springer, 2016.
  • Martin von Gagern and Jürgen Richter-Gebert.
    CindyJS Plugins.
    In International Congress on Mathematical Software, 327–334. Springer, 2016.
  • 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, doi:10.1093/imrn/rnw021.
  • 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.
  • 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.
  • 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, dgd:208.
  • G. Friesecke.
    Die Schönheit der molekularen Architektur von Viren und ihre Entschlüsselung durch Beugungsmuster.
    Mitt. Dtsch. Math.-Ver., 24:208–213, 2016.
    URL:, doi:10.1515/dmvm-2016-0078.
  • 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.
  • 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.
  • 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.
  • Helmut Pottmann and Johannes Wallner.
    Geometry and freeform architecture.
    In Wolfgang König, editor, Mathematics and Society, pages 131–151. EMS, 2016.
  • 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.
  • 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:, arXiv:1509.02959.
  • Sergio Conti and Barbara Zwicknagl.
    Low volume-fraction microstructures in martensites and crystal plasticity.
    Math. Models Methods Appl. Sci., 26(7):1319–1355, 2016.
  • 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.
  • 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, doi:10.1093/integr/xyw005.
  • 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.
  • 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.
  • 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, doi:10.1007/s10240-016-0083-7.
  • 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, doi:10.1142/S021819671650034X.
  • 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.
  • 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, doi:10.1515/forum-2015-0055.
  • 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, doi:10.1007/978-3-662-50447-5_13.
  • 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.
  • R. Boll.
    Two-dimensional variational systems on the root lattice $Q(A_N)$.
    preprint, 2016.
  • 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.
  • Michael Joswig and Georg Loho.
    Weighted digraphs and tropical cones.
    Linear Algebra and its Applications, 501:304–343, 2016.
    arXiv:1503.04707, doi:10.1016/j.laa.2016.02.027.
  • Karim Adiprasito and Raman Sanyal.
    Whitney numbers of arrangements via measure concentration of intrinsic volumes.
    Preprint, 2016.
  • Andreas Loos and Günter M Ziegler.
    „Was ist Mathematik" lernen und lehren.
    Mathematische Semesterberichte, 63(1):155–169, 2016.
Papers 2015
  • 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.
  • Stefan Kranich.
    Generation of real algebraic loci via complex detours.
    preprint, October 2015.
  • 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.
  • Pavle V. M. Blagojevic, Florian Frick, Albert Haase, and Günter M. Ziegler.
    Hyperplane mass partitions via relative Equivariant Obstruction Theory.
    preprint, September 2015.
  • Moritz Firsching.
    Realizability and inscribability for some simplicial spheres and matroid polytopes.
    Preprint, August 2015.
  • Hao Chen and Arnau Padrol.
    Scribability Problems for Polytopes.
    Preprint, August 2015.
  • Philipp Petersen.
    Shearlet approximation of functions with discontinuous derivatives.
    preprint, August 2015.
  • Stefan Kranich.
    GPU-based visualization of domain-coloured algebraic Riemann surfaces.
    preprint, July 2015.
  • F. Knöppel, K. Crane, U. Pinkall, and P. Schröder.
    Stripe patterns on surfaces.
    ACM Trans. Graph., 34(4):39:1–39:11, July 2015.
  • 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, doi:10.1142/S2010326315500094.
  • 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.
  • Karim Adiprasito and Arnau Padrol.
    The universality theorem for neighborly polytopes.
    Combinatorica, February 2015. accepted, preprint at arxiv.
  • Daniel Matthes and Horst Osberger.
    A convergent Lagrangian discretization for a nonlinear fourth order equation.
    Found. Comput. Math., 2015. online first.
  • M. Vermeeren.
    A dynamical solution to the Basel problem.
    preprint, 2015.
  • Wolfgang Carl.
    A Laplace Operator on Semi-Discrete Surfaces.
    Foundations of Computational Mathematics, pages 1–36, 2015.
  • J. Keller, C. Lasser and T. Ohsawa.
    A new phase space density for quantum expectations.
    24pp, 2015.
  • 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, doi:10.1007/s11075-014-9895-z.
  • H. Dietert, J. Keller and S. Troppmann.
    An invariant class of Hermite type multivariate polynomials for the Wigner transform.
    22pp, 2015.
  • P. Grohs, G. Kutyniok, J. Ma, and P. Petersen.
    Anisotropic multiscale systems on bounded domains.
    preprint, 2015.
  • Herbert Edelsbrunner and Florian Pausinger.
    Approximation and convergence of the intrinsic volume.
    Advances in Mathematics, 2015. accepted.
  • Helmut Pottmann, Michael Eigensatz, Amir Vaxman, and Johannes Wallner.
    Architectural Geometry.
    Computers and Graphics, 47:145–164, 2015.
    URL:, doi:10.1016/j.cag.2014.11.002.
  • Jürgen Richter-Gebert Qingchun Ren and Bernd Sturmfels.
    Cayley-Bacharach Formulas.
    The American Mathematical Monthly, 122(9):845–854, 2015.
  • Gitta Kutyniok and Philipp Petersen.
    Classification of edges using compactly supported shearlets.
    Applied and Computational Harmonic Analysis, 2015.
    arXiv:1411.5657, doi:10.1016/j.acha.2015.08.006.
  • A. Chern, U. Pinkall, and P. Schröder.
    Close-to-conformal deformations of volumes.
    ACM Transactions on Graphics, 34(4):56, 2015.
  • Katharina Jochemko and Raman Sanyal.
    Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem.
    accepted for publication, preprint on arxiv, 2015.
  • Amir Vaxman, Christian Müller, and Ofir Weber.
    Conformal mesh deformations with Möbius transformations.
    ACM Trans. Graphics, 34:$#$ 55, 1–11, 2015. Proc. SIGGRAPH.
  • Amir Vaxman, Christian Müller, and Ofir Weber.
    Conformal mesh deformations with Möbius transformations.
    ACM Transactions on Graphics (TOG), 34(4):55, 2015.
  • 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.
  • Fernando Jiménez and Hiroaki Yoshimura.
    Dirac Structures in Vakonomic Mechanics.
    J. Geom. Phys., 2015. accepted.
  • A. I. Bobenko, U. Pinkall, and B. Springborn.
    Discrete conformal maps and ideal hyperbolic polyhedra.
    Geom. Topol., 19:2155–2215, 2015.
    arXiv:1005.2698, doi:10.2140/gt.2015.19.2155.
  • 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, doi:10.1098/rspa.2014.0819.
  • 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.
  • 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.
  • 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.
  • Cesar Ceballos, Arnau Padrol, and Camilo Sarmiento.
    Dyck path triangulations and extendability.
    Journal of Combinatorial Theory, Series A, 131(0):187–208, 2015.
    URL:, arXiv:1402.5111.
  • Hiroyuki Miyata and Arnau Padrol.
    Enumeration of neighborly polytopes and oriented matroids.
    Experimental Math., 24:489–505, 2015.
    arXiv:1408.0688, doi:10.1080/10586458.2015.1015084.
  • Jonathan Zinsl and Daniel Matthes.
    Exponential Convergence to Equilibrium in a Coupled Gradient Flow System Modelling Chemotaxis.
    Analysis & PDE, 8(2):425–466, 2015.
  • M. Cicalese and F. Solombrino.
    Frustrated ferromagnetic spin chains: a variational approach to chirality transitions.
    Journal of Nonlinear Science, 25(291-313), 2015.
  • F. Jiménez.
    Hamilton-Dirac systems for charged particles in gauge fields.
    J. Geom. Phys., 94:35-49, 2015.
  • N. Dimitrov.
    Hyper-ideal Circle Patterns with Cone Singularities.
    Results in Mathematics, pages 1–45, 2015.
    arXiv:1406.6741, doi:10.1007/s00025-015-0453-3.
  • Myfanwy E. Evans, Vanessa Robins, and Stephen Hyde.
    Ideal geometry of periodic entanglements.
    P. R. Soc. A, 471(2181):2015.0254, 2015.
  • Ulrich Bauer and Michael Lesnick.
    Induced matchings and the algebraic stability of persistence barcodes.
    Journal of Computational Geometry, 6(2):162–191, 2015.
  • Chengcheng Tang, Pengbo Bo, Johannes Wallner, and Helmut Pottmann.
    Interactive design of developable surfaces.
    ACM Trans. Graphics, 2015. accepted.
  • Wai Yeung Lam and Ulrich Pinkall.
    Isothermic Triangulated Surfaces.
    preprint, January 2015.
  • 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, doi:10.1016/j.jmaa.2015.03.001.
  • Horst Osberger.
    Long-Time Behaviour of a Fully Discrete Lagrangian Scheme for a Family of Fourth Order.
    Submitted, 2015.
  • Günter M. Ziegler Karim Adiprasito.
    Many projectively unique polytopes.
    Inventiones math., 199:581–652, 2015.
    arXiv:1212.5812, doi:10.1007/s00222-014-0519-y.
  • 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.
  • Sarah Brodsky, Michael Joswig, Ralph Morrison, and Bernd Sturmfels.
    Moduli of tropical plane curves.
    Research in the Mathematical Sciences, 2(1):4, 2015.
  • C. Kuehn and P. Szmolyan.
    Multiscale geometry of the Olsen model and non-classical relaxation oscillations.
    J. Nonlinear Sci., 25(3):583–629, 2015.
  • Sebastián Ferraro, Fernando Jiménez, and David Martín de Diego.
    New developments on the Geometric Nonholonomic Integrator.
    Nonlinearity, 28:871-900, 2015.
  • C. Lasser, R. Schubert and S. Troppmann.
    Non-Hermitian propagation of Hagedorn wavepackets.
    33pp, 2015.
  • 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.
  • Fernando Jimenez and Juergen Scheurle.
    On the discretization of nonholonomic dynamics in $\mathbb R^n$.
    J. Geom. Mechanics, 7(1):43-80, 2015.
  • F. Jiménez and J. Scheurle.
    On the discretization of the Euler-Poincaré-Suslov equations in $SO(3)$.
    preprint, 2015.
  • 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.
  • Caigui Jiang, Chengcheng Tang, Amir Vaxman, Peter Wonka, and Helmut Pottmann.
    Polyhedral Patterns.
    ACM Trans. Graphics, 2015. Proc. SIGGRAPH Asia.
  • 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:, doi:10.1007/978-3-662-44900-4_14.
  • A. I. Bobenko, T. Hoffmann, B. König, and S. Sechelmann.
    S-conical minimal surfaces. Towards a unified theory of discrete minimal surfaces.
    Preprint, 2015.
  • Christian Müller.
    Semi-Discrete Constant Mean Curvature Surfaces.
    Math. Z., 279:459–478, 2015.
  • Christian Müller.
    Semi-discrete constant mean curvature surfaces.
    Mathematische Zeitschrift, 279(1-2):459–478, 2015.
    URL:, doi:10.1007/s00209-014-1377-4.
  • B. Benedetti.
    Smoothing discrete Morse theory.
    Annali Sc. Norm. Sup. Cl. Sci., 2015. accepted, preprint at arxiv.
  • K. Adiprasito and B. Benedetti.
    Subdivisions, shellability, and collapsibility of products.
    Combinatorica, 2015. accepted, preprint at arxiv.
  • 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.
  • 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.
  • K. Adiprasito and B. Benedetti.
    Tight complexes in $3$-space admit perfect discrete Morse functions.
    Eur. J. Comb., 45:71–84, 2015.
  • 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.
  • 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.
  • 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, doi:10.1137/130936464.
  • G. Friesecke, R. D. James and D. Jüstel.
    Twisted x-rays: incoming waveforms yielding discrete diffraction patterns for helical structures.
  • Karim Adiprasito, Arnau Padrol, and Louis Theran.
    Universality theorems for inscribed polytopes and Delaunay triangulations.
    Discrete Comput. Geom., 54:412–431, 2015.
  • 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.
Papers 2014
  • Alexander Bobenko and Mikhail Skopenkov.
    Discrete Riemann surfaces: linear discretization and its convergence.
    J. reine und angew. Math., October 2014.
    arXiv:1210.0561, doi:10.1515/crelle-2014-0065.
  • 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.
  • 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, doi:10.1063/1.4891517.
  • Philipp Grohs, Sandra Keiper, Gitta Kutyniok, and Martin Schäfer.
    preprint, July 2014.
  • 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.
  • Ciprian S. Borcea and Ileana Streinu.
    Kinematics of Expansive Planar Periodic Mechanisms.
    Advances in Robot Kinematics (ARK'14), July 2014. preprint.
  • A. Delshams, M. Gonchenko, and S. Gonchenko.
    On dynamics and bifurcations of area-preserving maps with homoclinic tangencies.
    Submitted to Nonlinearity, July 2014.
  • Gitta Kutyniok, Volker Mehrmann, and Philipp Petersen.
    Regularization and Numerical Solution of the Inverse Scattering Problem using Shearlet Frames.
    preprint, July 2014.
  • Steffen Weißmann, Ulrich Pinkall, and Peter Schröder.
    Smoke Rings from Smoke.
    ACM Trans. Graph., 33(4):140:1–140:8, July 2014.
  • 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, doi:10.1063/1.4882073.
  • 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.
  • 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, doi:10.1007/s00041-014-9330-9.
  • Christian Kuehn.
    Normal hyperbolicity and unbounded critical manifolds.
    Nonlinearity, 27(6):1351–1366, may 2014.
    URL:, doi:10.1088/0951-7715/27/6/1351.
  • Arnau Padrol and Julian Pfeifle.
    Polygons as slices of higher-dimensional polytopes.
    Preprint, April 2014.
  • Niklas Krauth, Matthias Nieser, and Konrad Polthier.
    Differential-Based Geometry and Texture Editing with Brushes.
    J. Math. Imaging Vis., 48(2):359–368, February 2014.
  • 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, doi:10.1007/s10711-013-9830-9.
  • 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.
  • 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:, arXiv:1307.0523, doi:10.1098/rspa.2013.0550.
  • Florian Käferböck.
    Affine arc length polylines and curvature continuous uniform B-splines.
    Computer-Aided Geom. Design, 2014.
  • 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.
  • G. Wechslberger and F. Bornemann.
    Automatic deformation of Riemann-Hilbert problems with applications to the Painlevé II transcendents.
    Constr. Approx., 39(1):151–171, 2014.
  • 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.
  • Zoi Tokoutsi Konstantin Poelke and Konrad Polthier.
    Complex Polynomial Mandalas and their Symmetries.
    In George Hart Gary Greenfield and Reza Sarhangi, editors, Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, 433–436. Phoenix, Arizona, 2014. Tessellations Publishing.
  • 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, doi:10.1134/S1560354714060057.
  • 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.
  • Wolfgang Gaim and Caroline Lasser.
    Corrections to Wigner type phase space methods.
    Nonlinearity, 27(12):2951–2974, 2014.
    URL:, arXiv:1403.2839, doi:10.1088/0951-7715/27/12/2951.
  • 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.
  • 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, doi:10.1007/s00454-014-9622-5.
  • Gitta Kutyniok and Wang-Q Lim.
    Dualizable Shearlet Frames and Sparse Approximation.
    preprint, 2014.
  • 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, doi:10.3934/era.2014.21.41.
  • 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, doi:10.1142/S0218127414400112.
  • K. Adiprasito, B. Benedetti, and F. H. Lutz.
    Extremal examples of collapsible complexes and random discrete Morse theory.
    preprint, 2014.
  • Michael Joswig and Günter M. Ziegler.
    Foldable triangulations of lattice polygons.
    Amer. Math. Monthly, 121(8):706–710, 2014.
    arXiv:1207.6865, doi:10.4169/amermathmont.121.08.706.
  • 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.
  • Caigui Jiang, Jun Wang, Johannes Wallner, and Helmut Pottmann.
    Freeform Honeycomb Structures.
    Comput. Graph. Forum, 33(5):185–194, 2014. Proc. Symposium Geometry Processing.
  • 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.
  • Jonathan Zinsl.
    Geodesically Convex Energies and Confinement of Solutions for a Multi-Component System of Nonlocal Interaction Equations.
    Submitted, 2014.
  • 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.
  • 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.
  • 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.
  • Barbara Zwicknagl.
    Microstructures in low-hysteresis shape memory alloys: scaling regimes and optimal needle shapes.
    Arch. Ration. Mech. Anal., 213(2):355–421, 2014.
  • 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, doi:10.1134/S1560354714060082.
  • Christian Müller.
    On Discrete Constant Mean Curvature Surfaces.
    Discrete Comput. Geom., 51(3):516–538, 2014.
  • Oleg Karpenkov and Johannes Wallner.
    On offsets and curvatures for discrete and semidiscrete surfaces.
    Beitr. Algebra Geom., 55:207–228, 2014.
  • Emanuel Huhnen-Venedey and Wolfgang K. Schief.
    On Weingarten Transformations of Hyperbolic Nets.
    International Mathematics Research Notices, 2014.
    URL:, arXiv:1305.4783, doi:10.1093/imrn/rnt354.
  • Philipp Grohs and Gitta Kutyniok.
    Parabolic molecules.
    Found. Comput. Math., 14(2):299–337, 2014.
  • B. Benedetti and F. H. Lutz.
    Random discrete Morse theory and a new library of triangulations.
    Experimental Mathematics, 23(1):66–94, 2014.
  • 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.
  • Jason Cantarella, Joseph H. G. Fu, Robert B. Kusner, and John M. Sullivan.
    Ropelength Criticality.
    Geom. Topol., 18:1973–2043, 2014.
  • 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.
  • 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, dgd:49.
  • 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.
  • S. Weissmann, U. Pinkall and P. Schröder.
    Smoke rings from smoke.
    ACM Transactions on Graphics, 33, 2014.
  • Ling Shi, Jun Wang, and Helmut Pottmann.
    Smooth surfaces from rational bilinear patches.
    Comput. Aided Geom. Design, 31(1):1–12, 2014.
  • 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.
  • 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.
  • 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.
  • Herbert Edelsbrunner, Grzegorz Jablonski, and Marian Mrozek.
    The Persistent Homology of a Self-Map.
    Foundations of Computational Mathematics, pages 1–32, 2014.
  • 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.
  • 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:, arXiv:1401.0690, doi:10.1112/blms/bdu049.
  • Wolfgang Carl and Johannes Wallner.
    Variational Laplacians for semidiscrete surfaces.
    submitted, 2014.
Papers 2013
Papers 2012
  • 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, doi:10.1007/s11005-012-0583-4.
  • Leonardo Colombo, Fernando Jiménez, and David Martín de Diego.
    Variational integrators for underactuated mechanical control systems with symmetries.
    submitted, September 2012.
  • 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, doi:10.1007/s11464-013-0305-y.
  • M. Petrera and Y. B. Suris.
    Spherical geometry and integrable systems.
    Geometriae Dedicata, August 2012.
    arXiv:1208.3625, doi:10.1007/s10711-013-9843-4.
  • 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.
  • Pisamai Kittipoom, Gitta Kutyniok, and Wang-Q Lim.
    Construction of compactly supported shearlet frames.
    Constr. Approx., 35(1):21–72, 2012.
    arXiv:1003.5481, doi:10.1007/s00365-011-9142-y.
  • K. Poelke and K. Polthier.
    Domain Coloring of Complex Functions: An Implementation-Oriented Introduction.
    IEEE Computer Graphics and Applications, 32(5):90–97, 2012.
  • 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.
  • F. Krahmer and R. Ward.
    Lower bounds for the error decay incurred by coarse quantization schemes.
    Appl. Comput. Harmonic Anal., 32(1):131–138, 2012.
  • Y. Au Yeung, G. Friesecke, and B. Schmidt.
    Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape.
    Calc. Var. PDE, 44:81–100, 2012.
  • Klaus Hildebrandt, Christian Schulz, Christoph von Tycowicz, and Konrad Polthier.
    Modal shape analysis beyond Laplacian.
    Computer Aided Geometric Design, 29(5):204–218, 2012.
  • Michael Joswig and Thilo Rörig.
    Polytope mit vielen Splits und ihre Sekundärfächer.
    Math. Semesterber., 59(2):145–152, 2012.
  • 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.
  • 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.
Papers 2011
Papers 2010
  • I. Chao, U. Pinkall, P. Sanan, and P. Schröder.
    A simple geometric model for elastic deformations.
    ACM Transactions on Graphics, 2010.
  • S. Weißmann and U. Pinkall.
    Filament-based smoke with vortex shedding and variational reconnection.
    ACM Transactions on Graphics, 2010.
  • 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.
  • J. Richter-Gebert and U. Kortenkamp.
    The power of scripting: DGS meets programming.
    Acta didactica Napocensia, 3(2):67–78, 2010.
  • Sven Herrmann and Michael Joswig.
    Totally splittable polytopes.
    Discrete Comput. Geom., 44(1):149–166, 2010.
    arXiv:0901.0231, doi:10.1007/s00454-009-9217-8.
  • 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:, arXiv:0901.2822.
Papers 2009
  • Elizabeth Denne and John M. Sullivan.
    The Distortion of a Knotted Curve.
    Proc. Amer. Math. Soc., 137:1139–1148, 2009.
Papers 2008
Papers 2007
  • 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, doi:10.1007/s00454-007-9006-1.
  • 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.
  • Felix Kälberer, Matthias Nieser, and Konrad Polthier.
    QuadCover - Surface Parameterization using Branched Coverings.
    Comput. Graph. Forum, 26(3):375–384, 2007.
  • David Cohen-Steiner, Herbert Edelsbrunner, and John Harer.
    Stability of Persistence Diagrams.
    Discrete and Computational Geometry, 37(1):103–120, January 2007.
Papers 2006
  • Michael Joswig and Marc E. Pfetsch.
    Computing optimal Morse matchings.
    SIAM J. Discrete Math., 20(1):11–25 (electronic), 2006.
    arXiv:math/0408331, doi:10.1137/S0895480104445885.
  • 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.
  • A. Bobenko, T. Hoffmann, and B. Springborn.
    Minimal surfaces from circle patterns: Geometry from combinatorics.
    Ann. of Math., 164(1):231–264, 2006.
  • 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.
  • 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.
Papers 2005
  • B. Krauskopf, H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer, A. Vladimirsky, M. Dellnitz, and O. Junge.
    A survey of methods for computing (un)stable manifolds of vector fields.
    Internat. J. Bifur. Chaos Appl. Sci. Engrg., 15(3):763–791, 2005.
  • Carsten Lange and Konrad Polthier.
    Anisotropic smoothing of point sets.
    Computer Aided Geometric Design, 22(7):680–692, 2005.
  • D. Labate, W-Q. Lim, G. Kutyniok, and G. Weiss.
    Sparse multidimensional representation using shearlets.
    SPIE Proc. 5914, SPIE, Bellingham, pages 254–262, 2005.
Papers 2004
  • 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.
  • U. Kortenkamp and J. Richter-Gebert.
    Using automatic theorem proving to improve the usability of geometry software.
    In Proceedings of the Mathematical User Interfaces Workshop. 2004.
Papers 2003
  • 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.
Papers 2002
  • Herbert Edelsbrunner, David Letscher, and Afra Zomorodian.
    Topological Persistence and Simplification.
    Discrete & Computational Geometry, 28(4):511–533, November 2002.
  • 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.
  • 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.
  • Jason Cantarella, Robert B. Kusner, and John M. Sullivan.
    On the minimum ropelength of knots and links.
    Invent. Math., 150:257–286, 2002.
  • 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.
Papers 2001
  • U. Kortenkamp and J. Richter-Gebert.
    Grundlagen Dynamischer Geometrie.
    In H.-J. Elschenbroich, Th. Gawlick, and H.-W. Henn, editors, Zeichnung - Figur - Zugfigur: Mathematische und didaktische Aspekte Dynamischer Geometrie-Software, pages 123–145. Franzbecker, Hildesheim, 2001.
  • 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.
  • 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.
Papers 2000
  • 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.
Papers 1999
Papers 1998
Papers 1997
  • Michael Dellnitz, Andreas Hohmann, Oliver Junge, and Martin Rumpf.
    Exploring invariant sets and invariant measures.
    Chaos, 7(2):221–228, 1997.
Papers 1995
  • H. Edelsbrunner.
    The union of balls and its dual shape.
    Discrete and Computational Geometry, 13(1):415–440, December 1995.
Papers 1993