preprints
- Flag Polymatroids
(with
Alex Black)
[arXiv]
- Inscribable Fans II: Inscribed zonotopes, simplicial arrangements, and reflection groups
(with
Sebastian Manecke)
[arXiv]
- Fan Valuations and spherical intrinsic volumes
(with
Spencer Backman and
Sebastian Manecke)
[arXiv]
- Inscribable fans I: Inscribed cones, virtual polytopes, and routed
particle trajectories
(with
Sebastian Manecke)
[arXiv]
- Spectral Polyhedra
(with James Saunderson)
[arXiv]
- Generalized angle vectors, geometric lattices, and
flag-angles
(with
Spencer Backman and
Sebastian Manecke)
[arXiv]
- Whitney numbers of arrangements via measure concentration
of intrinsic volumes
(with Karim
Adiprasito)
[arXiv]
published
- 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), accepted for publication.
[arXiv]
- 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]
- Tropical Carathéodory with Matroids
(with Georg Loho)
Discrete & Computational Geometry 2022, online first.
[journal]
[arXiv]
- Geometric Inequalities for Anti-Blocking Bodies
(with
Shiri Artstein-Avidan and
Shay Sadovsky)
Communications in Contemporary Mathematics 2022, online ready.
[journal]
[arXiv]
- 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]
- Coprime Ehrhart theory and counting free segments
(with
Sebastian Manecke)
International Mathematics Research Notices (2022), online first.
[journal]
[arXiv]
- 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]
- 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]
- Unconditional reflexive polytopes
(with
Florian Kohl and
McCabe Olsen)
Branko Grünbaum Memorial Issue,
Discrete & Computational Geometry, Vol 64, 2020, pp. 427-452
[journal]
[arXiv]
- 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]
- 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]
- Lipschitz polytopes of posets and permutation
statistics
(with Christian Stump)
Journal of Combinatorial Theory, Series A 158 (2018) 605-620
[journal]
[arXiv]
- Combinatorial mixed valuations
(with Katharina
Jochemko)
Advances in Mathematics, 319 (2017), pp. 630-652
[journal]
[arXiv]
-
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]
- 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]
- 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]
- Two double poset polytopes
(with Tom Chappell
and
Tobias Friedl
)
SIAM J. Discrete Math. 31-4 (2017), pp. 2378-2413
[journal]
[arXiv]
- On degree sequences of undirected, directed, and
bidirected graphs (with
Laura Gellert)
European Journal of Combinatorics 64 (2017) 113-124
[journal]
[arXiv]
- Minkowski complexes and convex threshold dimension
(with Florian Frick)
Journal of Combinatorial Theory, Series A 151 (2017) 202-206
[journal]
[arXiv]
- 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]
- Theta
rank, levelness, and matroid minors
(with
Francesco Grande)
J. Combin. Theory Ser. B 123 (2017), 1-31.
[journal]
[arXiv]
- 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]
-
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]
- Deciding
polyhedrality of spectrahedra
(with Avinash
Bhardwaj and Philipp
Rostalski)
SIAM J. Opt. 25 (2015), no. 3, 1873-1884.
[journal]
[journal-version]
[arXiv]
- 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]
- Laplacian ideals,
arrangements, and resolutions
(with Anton
Dochtermann)
J. Algebraic Combin. 40 (2014), no. 3, 805-822. [journal]
[arXiv]
- 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]
- An
Alexander-type duality for valuations
(with Karim
Adiprasito)
Proceedings of the AMS, Vol 143, No 2, 2015, pp.
833-843.
[journal]
[arXiv]
- The
Entropic Discriminant
(with Bernd
Sturmfels and Cynthia
Vinzant)
Advances in Mathematics, 244 (2013), pp. 678-707.
[journal]
[arXiv]
- Tropical types and
associated cellular resolutions
(with A.
Dochtermann and Michael
Joswig)
Journal of Algebra, 356 (2012), pp. 304-324.
[journal]
[arXiv]
- On the
derivative cones of polyhedral cones
Advances in Geometry, Vol 13 (2013), pp. 315-321. [journal]
[arXiv]
- Non-projectability
of polytope skeleta
(with Thilo
Rörig)
Advances in Mathematics, 229 (2012), pp. 79-101.
[journal]
[arXiv]
- Orbitopes
(with Bernd
Sturmfels and Frank
Sottile)
Mathematika, Vol 57, No 2, 2011, pp. 257-314. [journal]
[arXiv]
- Ehrhart theory,
modular flow reciprocity, and the Tutte
polynomial
(with Felix
Breuer)
Mathematische Zeitschrift, 270 (2012), pp. 1-18. [journal]
[arXiv]
- Construction and
Analysis of Projected Deformed Products
(with Günter M.
Ziegler)
Discrete & Computational Geometry, Vol 43, No 2, 2010,
pp. 412-435, [journal]
[arXiv]
- 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]
- 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]
- Topological
obstructions for vertex numbers of Minkowski
sums
Journal of Combinatorial Theory, Series A 116 (2009), pp.
168-179. [journal]
[arXiv]
misc
- On the Combinatorics of Projected Deformed
Products
Diploma Thesis, August 2005, 57 pages, PDF
- Constructions and obstructions for extremal
polytopes
PhD Thesis, May 2008, 79+6 pages, Published
online,
PDF