Publications

Preprints

• On the instability of syzygy bundels on toric surfaces (with Lucie Devey, Milena Hering and Hendrik Süß)
  arXiv preprint arXiv:2409.04666
• Preservation of inequalities under Hadamard products (with Petter Brändén and Luis Ferroni)
  arXiv preprint arXiv:2408.12386
• Polyhedral combinatorics of bisectors (with Aryaman Jal)
  arXiv preprint arXiv:2308.14372

Peer-reviewed Publications

• Weighted Ehrhart theory: extending Stanley's nonnegativity theorem (with Esme Bajo, Robert Davis, Jesús De Loera, Alexey Garber, Sofía Garzón Mora and Josephine Yu)
  Advances in Mathematics, Volume 444, 2024
• Learning polytopes with fixed facet directions (with Maria Dostert)
  SIAM Journal on Applied Algebra and Geometry, Volume 7 (2), 2023
• Lattice zonotopes of degree 2 (with Matthias Beck and Ellinor Janssen)
  Contributions to Algebra and Geometry, Volume 64 (4), 2023
• Ehrhart polynomials of rank 2 matroids (with Luis Ferroni and Benjamin Schröter)
  Advances in Applied Mathematics, Volume 141, 2022
• The Eulerian Transformation (with Petter Brändén)
  Transactions of the American Mathematical Society, Volume 375, 2022
• Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity (with Mohan Ravichandran)
  Mathematika, Volume 68 (1), 2022
• Symmetric decompositions and the Veronese construction
  International Mathematics Research Notices, Volume 2022 (15)
• Linear recursions for integer point transforms
  Interactions with Lattice Polytopes. ILP 2017. Kasprzyk, A.M., Nill, B. (eds). Springer Proceedings in Mathematics & Statistics, vol 386. Springer, Cham, 2022
• Arithmetic aspects of symmetric edge polytopes (with Akihiro Higashitani and Mateusz Michalek)
  Mathematika, Volume 65 (3), 2019
• Smooth centrally symmetric polytopes in dimension 3 are IDP (with Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Lukas Katthän und Mateusz Michalek)
  Annals of Combinatorics, Volume 23 (2), 2019
• h*-polynomials of zonotopes (with Matthias Beck and Emily McCullough)
  Transactions of the American Mathematical Society, Volume 371, 2019
• Ehrhart tensor polynomials (with Sören Berg and Laura Silverstein)
  Linear Algebra and its Applications, Volume 359, 2018
• On the real-rootedness of the Veronese construction for rational formal power series
  International Mathematics Research Notices, Volume 2018 (15)
• Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem (with Raman Sanyal)
  Journal of the European Mathematical Society, Volume 20, Issue 9, 2018
• Combinatorial mixed valuations (with Raman Sanyal)
  Advances in Mathematics, Volume 319, 2017
• Arithmetic of marked order polytopes, monotone triangle reciprocity, and partial colorings (with Raman Sanyal)
  SIAM Journal on Discrete Mathematics, Volume 28, 2014
• Order polynomials and Polya's enumeration theorem
  Electronic Journal of Combinatorics, Volume 21, Issue 2, 2014

Book Chapters

• A Brief Introduction to Valuations on Lattice Polytopes
  Algebraic and Geometric Combinatorics on Lattice Polytopes. Proceedings of the Summer Workshop on Lattice Polytopes. Hibi, T., Tsuchiya A. (eds), pp. 38-55, 2019, World Sci. Publ., Hackensack, NJ

Reports

• Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications (with Takayuki Hibi, Akihiro Higashitani and Benjamin Nill)
  Oberwolfach Reports Volume 14, Issue 3, 2017

Theses

• On the Combinatorics of Valuations (2014) (PhD thesis; advisor: Raman Sanyal)
• Quantengruppen und 2-Kozykeldeformationen (2011) (Diploma thesis; advisor: Hans-Jürgen Schneider)