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. The presentations will be held in EN 058 at the end of the semester. Precise date TBD.
A first meeting took place on Tuesday, 29 April, at 14:30 in EN 058.
| | | Christabella Augustin | Triangulations of cosmological polytopes |
| | | Max Dahlinger | Skew shapes, Ehrhart positivity and beyond |
| | | Deniz Ergun | Separating trees and simple congruences of the weak order |
| | | Stefan Müller | Hollow polytopes with many vertices |
| | | Benedikt Niproschke | Stanley's non-Ehrhart-positive order polytopes |
| | | Erik Thomas | New recursion formula for the interior polynomial based on non-expanding sets |
References
- Arun and Dillon: Hollow polytopes with many vertices, Preprint arXiv:2504.17530
- Barnard, Novelli and Pilaud: Separating trees and simple congruences of the weak order, Preprint arXiv:2503.15053
- Deza, Liu and Pournin: Kissing polytopes in dimension 3, Preprint arXiv:2502.19554
- Ferroni, Morales and Panova: Skew shapes, Ehrhart positivity and beyond, Preprint arXiv:2503.16403
- Ferroni and Fink: The polytope of all matroids, Preprint arXiv:2502.20157
- Juhnke-Kubitzke, Solus and Venturello: Triangulations of cosmological polytopes, Preprint arXiv:2303.05876
- Kaibel and Kukharenko: Polytope extensions with linear diameters, Preprint arXiv:2307.05246
- Kato: New recursion formula for the interior polynomial based on non-expanding sets, Preprint arXiv:2502.19799
- 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
- Prince: Polygons of finite mutation type, in: Interactions with lattice polytopes, Springer 2022, doi:10.1007/978-3-030-98327-7\_15