SE: Discrete Mathematics/Geometry (Summer 2025)

This seminar covers topics in discrete geometry adjacent to the course Discrete Geometry I. It addresses students who want to write a Bachelor or Master Thesis on a topic in discrete mathematics/geometry.

The seminar is organized as a block seminar. A first meeting took place on Tuesday, 29 April, at 14:30 in EN 058. The presentations will be held in EN 058 at the end of the semester, on Wednesday/Thursday, July 16/17. Precise schedule below.

Wed July 16 14-15 Stefan Müller Hollow polytopes with many vertices
15-16 Erik Thomas New recursion formula for the interior polynomial based on non-expanding sets
Thu July 17 10-11 Max Dahlinger Skew shapes, Ehrhart positivity and beyond
11-12 Benedikt Niproschke Stanley's non-Ehrhart-positive order polytopes
14-15 Christabella Augustin Triangulations of cosmological polytopes
15-16 Deniz Ergun Separating trees and simple congruences of the weak order

References

  1. Arun and Dillon: Hollow polytopes with many vertices, Preprint arXiv:2504.17530
  2. Barnard, Novelli and Pilaud: Separating trees and simple congruences of the weak order, Preprint arXiv:2503.15053
  3. Deza, Liu and Pournin: Kissing polytopes in dimension 3, Preprint arXiv:2502.19554
  4. Ferroni, Morales and Panova: Skew shapes, Ehrhart positivity and beyond, Preprint arXiv:2503.16403
  5. Ferroni and Fink: The polytope of all matroids, Preprint arXiv:2502.20157
  6. Juhnke-Kubitzke, Solus and Venturello: Triangulations of cosmological polytopes, Preprint arXiv:2303.05876
  7. Kaibel and Kukharenko: Polytope extensions with linear diameters, Preprint arXiv:2307.05246
  8. Kato: New recursion formula for the interior polynomial based on non-expanding sets, Preprint arXiv:2502.19799
  9. Liu and Tsuchiya: Stanley's non-Ehrhart-positive order polytopes, Adv. in Appl. Math. 108 (2019), 1-10; doi:10.1016/j.aam.2019.03.004
  10. Prince: Polygons of finite mutation type, in: Interactions with lattice polytopes, Springer 2022, doi:10.1007/978-3-030-98327-7\_15
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Last modified: Thu Jun 26 13:15:40 UTC 2025 by joswig