Katharina Jochemko

Royal Institute of Technology (KTH)
Department of Mathematics
SE-100 44 Stockholm, Sweden

Email: j o c h e m k o @ k t h . s e

Preprints

• On the instability of syzygy bundles 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

Publications

• Polyhedral combinatorics of bisectors (with Aryaman Jal)
  arxiv preprint arXiv:2308.14372, accepted for publication in Advances in Geometry
• Weighted Ehrhart theory: extending Stanley's nonnegativity theorem (with Esme Bajo, Robert Davis, Jesús De Loera, Alexey Garber, Sofía Garzón Mora, Josephine Yu)
  Advances in Mathematics, Volume 444, 2024, to appear; doi.org/10.1016/j.aim.2024.109627
• Learning polytopes with fixed facet directions (with Maria Dostert)
  SIAM Journal on Applied Algebra and Geometry (SIAGA) 7 (2), 2023
• Lattice zonotopes of degree 2 (with Matthias Beck and Ellinor Janssen)
  Contributions to Algebra and Geometry 64 (4), 2023
• Ehrhart polynomials of rank two 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, Issue 1 (2022)
• Symmetric decompositions and the Veronese construction
  International Mathematics Research Notices (IMRN), 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, Issue 3 (2019)
• Smooth centrally symmetric polytopes in dimension 3 are IDP (with Matthias Beck, Christian Haase, Akihiro Higashitani, Johannes Hofscheier, Lukas Katthän, and Mateusz Michalek)
  Annals of Combinatorics 23 (2) (2019)
• 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
• h*-polynomials of zonotopes (with Matthias Beck and Emily McCullough)
  Transactions of the American Mathematical Society, Volume 371 (2019)
• Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications (with Takayuki Hibi, Akihiro Higashitani and Benjamin Nill)
  Oberwolfach Reports Volume 14, Issue 3, 2017
• Ehrhart tensor polynomials (with Sören Berg and Laura Silverstein)
  Linear Algebra and Its Applications, Volume 539 (2018)
• Combinatorial mixed valuations (with Raman Sanyal)
  Advances in Mathematics, Volume 319 (2017)
• On the real-rootedness of the Veronese construction for rational formal power series
  International Mathematics Research Notices (IMRN), Volume 2018 (15)
Best Paper Award 2018, Faculty of Mathematics and Geoinformation, TU Wien
• Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem(with Raman Sanyal)
  Journal of the European Mathematical Society (JEMS), Volume 20, Issue 9, 2018
• 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)

Theses

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