preprints

  1. Flag Polymatroids (with Alex Black) [arXiv]
  2. Inscribable Fans II: Inscribed zonotopes, simplicial arrangements, and reflection groups (with Sebastian Manecke) [arXiv]
  3. The Polyhedral Geometry of Pivot Rules and Monotone Paths (with Alex Black, Jesús A. De Loera, and Niklas Lütjeharms) [arXiv]
  4. Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment (with Greg Blekherman, Mario Kummer, Kevin Shu, and Shengding Sun) [arXiv]
  5. Fan Valuations and spherical intrinsic volumes (with Spencer Backman and Sebastian Manecke) [arXiv]
  6. Inscribable fans I: Inscribed cones, virtual polytopes, and routed particle trajectories (with Sebastian Manecke) [arXiv]
  7. Spectral Polyhedra (with James Saunderson) [arXiv]
  8. Generalized angle vectors, geometric lattices, and flag-angles (with Spencer Backman and Sebastian Manecke) [arXiv]
  9. Whitney numbers of arrangements via measure concentration of intrinsic volumes (with Karim Adiprasito) [arXiv]

published

  1. Tropical Carathéodory with Matroids (with Georg Loho)
    Discrete & Computational Geometry, accepted for publication. [arXiv]
  2. Geometric Inequalities for Anti-Blocking Bodies (with Shiri Artstein-Avidan and Shay Sadovsky)
    Communications in Contemporary Mathematics, accepted for publication. [arXiv]
  3. Standard complexes of matroids and lattice paths (with Alex Engström and Christian Stump)
    Vietnam J. Math (Sturmfels 60th birthday), 2022, online first. [journal] [arXiv]
  4. Coprime Ehrhart theory and counting free segments (with Sebastian Manecke)
    International Mathematics Research Notices (2022), online first. [journal] [arXiv]
  5. 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]
  6. 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]
  7. Unconditional reflexive polytopes (with Florian Kohl and McCabe Olsen)
    Branko Grünbaum Memorial Issue, Discrete & Computational Geometry, Vol 64, 2020, pp. 427-452 [journal] [arXiv]
  8. 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]
  9. 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]
  10. Lipschitz polytopes of posets and permutation statistics (with Christian Stump)
    Journal of Combinatorial Theory, Series A 158 (2018) 605-620 [journal] [arXiv]
  11. Combinatorial mixed valuations (with Katharina Jochemko)
    Advances in Mathematics, 319 (2017), pp. 630-652 [journal] [arXiv]
  12. 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]
  13. 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]
  14. 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]
  15. Two double poset polytopes (with Tom Chappell and Tobias Friedl )
    SIAM J. Discrete Math. 31-4 (2017), pp. 2378-2413 [journal] [arXiv]
  16. On degree sequences of undirected, directed, and bidirected graphs (with Laura Gellert)
    European Journal of Combinatorics 64 (2017) 113-124 [journal] [arXiv]
  17. Minkowski complexes and convex threshold dimension (with Florian Frick)
    Journal of Combinatorial Theory, Series A 151 (2017) 202-206 [journal] [arXiv]
  18. 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]
  19. Theta rank, levelness, and matroid minors (with Francesco Grande)
    J. Combin. Theory Ser. B 123 (2017), 1-31. [journal] [arXiv]
  20. 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]
  21. 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]
  22. Deciding polyhedrality of spectrahedra (with Avinash Bhardwaj and Philipp Rostalski)
    SIAM J. Opt. 25 (2015), no. 3, 1873-1884. [journal] [journal-version] [arXiv]
  23. 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]
  24. Laplacian ideals, arrangements, and resolutions (with Anton Dochtermann)
    J. Algebraic Combin. 40 (2014), no. 3, 805-822. [journal] [arXiv]
  25. 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]
  26. An Alexander-type duality for valuations (with Karim Adiprasito)
    Proceedings of the AMS, Vol 143, No 2, 2015, pp. 833-843. [journal] [arXiv]
  27. The Entropic Discriminant (with Bernd Sturmfels and Cynthia Vinzant)
    Advances in Mathematics, 244 (2013), pp. 678-707. [journal] [arXiv]
  28. Tropical types and associated cellular resolutions (with A. Dochtermann and Michael Joswig)
    Journal of Algebra, 356 (2012), pp. 304-324. [journal] [arXiv]
  29. On the derivative cones of polyhedral cones
    Advances in Geometry, Vol 13 (2013), pp. 315-321. [journal] [arXiv]
  30. Non-projectability of polytope skeleta (with Thilo Rörig)
    Advances in Mathematics, 229 (2012), pp. 79-101. [journal] [arXiv]
  31. Orbitopes (with Bernd Sturmfels and Frank Sottile)
    Mathematika, Vol 57, No 2, 2011, pp. 257-314. [journal] [arXiv]
  32. Ehrhart theory, modular flow reciprocity, and the Tutte polynomial (with Felix Breuer)
    Mathematische Zeitschrift, 270 (2012), pp. 1-18. [journal] [arXiv]
  33. Construction and Analysis of Projected Deformed Products (with Günter M. Ziegler)
    Discrete & Computational Geometry, Vol 43, No 2, 2010, pp. 412-435, [journal] [arXiv]
  34. 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]
  35. 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]
  36. Topological obstructions for vertex numbers of Minkowski sums
    Journal of Combinatorial Theory, Series A 116 (2009), pp. 168-179. [journal] [arXiv]

misc