preprints

  1. From linear programming to colliding particles (with Alex Black and Niklas Lütjeharms)
    [arXiv]
  2. Inscribable fans II: Inscribed zonotopes, simplicial arrangements, and reflection groups (with Sebastian Manecke) [arXiv]
  3. Generalized angle vectors, geometric lattices, and flag-angles (with Spencer Backman and Sebastian Manecke) [arXiv]
  4. Whitney numbers of arrangements via measure concentration of intrinsic volumes (with Karim Adiprasito) [arXiv]

published

  1. Spectral Polyhedra (with James Saunderson)
    Forum of Mathematics, Sigma, accepted for publication. [arXiv]
  2. Underlying Flag Polymatroids (with Alex Black)
    Advances in Mathematics 2024, online first. [journal] [arXiv]
  3. Inscribable fans I: Inscribed cones, virtual polytopes, and routed particle trajectories (with Sebastian Manecke)
    Mathematika (2024). [journal] [arXiv]
  4. Fan Valuations and spherical intrinsic volumes (with Spencer Backman and Sebastian Manecke)
    Annals of Combinatorics (2024). [journal] [arXiv]
  5. Kalai's 3^d-conjecture for unconditional and locally anti-blocking polytopes (with Martin Winter)
    Proceedings of the AMS, accepted for publication. [arXiv]
  6. The Polyhedral Geometry of Pivot Rules and Monotone Paths (with Alex Black, Jesús A. De Loera, and Niklas Lütjeharms)
    SIAM J. on Applied Algebra and Geometry (SIAGA), Volume 7, Issue 3, Sept 2023. [journal] [arXiv]
  7. Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment (with Greg Blekherman, Mario Kummer, Kevin Shu, and Shengding Sun) International Mathematics Research Notices 2022, online first. [journal] [arXiv]
  8. Tropical Carathéodory with Matroids (with Georg Loho)
    Discrete & Computational Geometry 2022, online first. [journal] [arXiv]
  9. Geometric Inequalities for Anti-Blocking Bodies (with Shiri Artstein-Avidan and Shay Sadovsky)
    Communications in Contemporary Mathematics 2022, online ready. [journal] [arXiv]
  10. Standard complexes of matroids and lattice paths (with Alex Engström and Christian Stump)
    Vietnam J. Math 50, 763-779, 2022 (Sturmfels 60th birthday issue). [journal] [arXiv]
  11. Coprime Ehrhart theory and counting free segments (with Sebastian Manecke)
    International Mathematics Research Notices (2022), online first. [journal] [arXiv]
  12. S-hypersimplices, pulling triangulations, and monotone paths (with Sebastian Manecke and Jeonghoon So)
    Electron. J. Combin., Volume 27, Issue 3 (2020), Paper #P3.16 [journal] [arXiv]
  13. On piecewise-linear homeomorphisms between distributive and anti-blocking polyhedra (with Christoph Pegel)
    Combinatorial Structures in Algebra and Geometry. NSA 2018. Stamate D., Szemberg T. (eds). Springer Proceedings in Mathematics & Statistics, vol 331. pp. 95-114 [journal] [arXiv]
  14. Unconditional reflexive polytopes (with Florian Kohl and McCabe Olsen)
    Branko Grünbaum Memorial Issue, Discrete & Computational Geometry, Vol 64, 2020, pp. 427-452 [journal] [arXiv]
  15. The Martin Gardner Polytopes (with Kristin Fritsch, Janin Heuer, and Nicole Schulz)
    The American Mathematical Monthly, Vol 127, Issue 7, 2020, pp. 594-601 [journal] [arXiv]
  16. On f- and h-vectors of relative simplicial complexes (with Giulia Codenotti, Lukas Katthän) Algebraic Combinatorics, Volume 2 (2019) no. 3, pp. 343-353 [journal] [arXiv]
  17. Lipschitz polytopes of posets and permutation statistics (with Christian Stump)
    Journal of Combinatorial Theory, Series A 158 (2018) 605-620 [journal] [arXiv]
  18. Combinatorial mixed valuations (with Katharina Jochemko)
    Advances in Mathematics, 319 (2017), pp. 630-652 [journal] [arXiv]
  19. Colorful simplicial depth, Minkowski sums, and generalized Gale transforms (with Karim Adiprasito, Philip Brinkmann, Arnau Padrol, Pavel Paták, Zuzana Patáková)
    International Mathematics Research Notices, 6 (2019), pp. 1894-1919 [journal] [arXiv]
  20. Extension complexity and realization spaces of hypersimplices (with Francesco Grande and Arnau Padrol)
    Discrete & Computational Geometry, Vol 59, No 3, 2018, pp. 621-642 [journal] [arXiv]
  21. Reflection groups, arrangements, and invariant real varieties (with Tobias Friedl and Cordian Riener)
    Proceedings of the AMS, Vol 146, 2018, pp. 1031-1045 [journal] [arXiv]
  22. Two double poset polytopes (with Tom Chappell and Tobias Friedl )
    SIAM J. Discrete Math. 31-4 (2017), pp. 2378-2413 [journal] [arXiv]
  23. On degree sequences of undirected, directed, and bidirected graphs (with Laura Gellert)
    European Journal of Combinatorics 64 (2017) 113-124 [journal] [arXiv]
  24. Minkowski complexes and convex threshold dimension (with Florian Frick)
    Journal of Combinatorial Theory, Series A 151 (2017) 202-206 [journal] [arXiv]
  25. Mixed Ehrhart polynomials (with Christian Haase, Martina Juhnke-Kubitzke, and Thorsten Theobald)
    Electron. J. Combin., Volume 24, Issue 1 (2017), Paper #P1.10 [journal] [arXiv]
  26. Theta rank, levelness, and matroid minors (with Francesco Grande)
    J. Combin. Theory Ser. B 123 (2017), 1-31. [journal] [arXiv]
  27. Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums (with Karim Adiprasito)
    Publ. Math. Inst. Hautes Etudes Sci. (2016) 124: 99-163. [journal] [arXiv]
  28. Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem (with Katharina Jochemko)
    J. Eur. Math. Soc. (JEMS), June 2018 (online first). [arXiv] [journal]
  29. Deciding polyhedrality of spectrahedra (with Avinash Bhardwaj and Philipp Rostalski)
    SIAM J. Opt. 25 (2015), no. 3, 1873-1884. [journal] [journal-version] [arXiv]
  30. Arithmetic of marked order polytopes, monotone triangle reciprocity, and partial colorings (with Katharina Jochemko)
    SIAM J. Discrete Math. 28 (2014), no. 3, 1540-1558, [journal] [arXiv]
  31. Laplacian ideals, arrangements, and resolutions (with Anton Dochtermann)
    J. Algebraic Combin. 40 (2014), no. 3, 805-822. [journal] [arXiv]
  32. Smooth Hyperbolicity Cones are Spectrahedral Shadows (with Tim Netzer)
    Special issue `Lifts of Convex Sets in Optimization'
    Math. Prog. B 153 (2015), Issue 1, 213-221. [journal] [arXiv]
  33. An Alexander-type duality for valuations (with Karim Adiprasito)
    Proceedings of the AMS, Vol 143, No 2, 2015, pp. 833-843. [journal] [arXiv]
  34. The Entropic Discriminant (with Bernd Sturmfels and Cynthia Vinzant)
    Advances in Mathematics, 244 (2013), pp. 678-707. [journal] [arXiv]
  35. Tropical types and associated cellular resolutions (with A. Dochtermann and Michael Joswig)
    Journal of Algebra, 356 (2012), pp. 304-324. [journal] [arXiv]
  36. On the derivative cones of polyhedral cones
    Advances in Geometry, Vol 13 (2013), pp. 315-321. [journal] [arXiv]
  37. Non-projectability of polytope skeleta (with Thilo Rörig)
    Advances in Mathematics, 229 (2012), pp. 79-101. [journal] [arXiv]
  38. Orbitopes (with Bernd Sturmfels and Frank Sottile)
    Mathematika, Vol 57, No 2, 2011, pp. 257-314. [journal] [arXiv]
  39. Ehrhart theory, modular flow reciprocity, and the Tutte polynomial (with Felix Breuer)
    Mathematische Zeitschrift, 270 (2012), pp. 1-18. [journal] [arXiv]
  40. Construction and Analysis of Projected Deformed Products (with Günter M. Ziegler)
    Discrete & Computational Geometry, Vol 43, No 2, 2010, pp. 412-435, [journal] [arXiv]
  41. On Kalai's conjectures concerning centrally symmetric polytopes (with Axel Werner and Günter M. Ziegler)
    Discrete & Computational Geometry, Vol 41, No 2, 2009, pp. 183-198. [journal] [arXiv]
  42. Combinatorial Stokes formulas via minimal resolutions (with Bernhard Hanke, Carsten Schultz, and Günter M. Ziegler)
    Journal of Combinatorial Theory, Series A 116 (2009), pp. 404-420. [journal] [arXiv]
  43. Topological obstructions for vertex numbers of Minkowski sums
    Journal of Combinatorial Theory, Series A 116 (2009), pp. 168-179. [journal] [arXiv]

misc