SE: Discrete Mathematics/Geometry (Summer 2065)
This seminar covers topics in discrete geometry adjacent to the courses in Discrete Geometry I/II/III.
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, 05 May, at 14:30 in EN 058.
The presentations will be held in EN 058 at the end of the semester. Precise schedule tba.
References
- Avis and Bremner: Sparktope: linear programs from algorithms, Optim. Methods Softw. 37 (2022), no. 3, 954–981
- Avis, Bremner, Tiwary and Watanabe: Polynomial size linear programs for problems in P, Discrete Appl. Math. 265 (2019), 22–39
- Bonin and de Mier: The lattice of cyclic flats of a matroid, Ann. Comb. 12 (2008), no.2, 155-170
- Brugallé, López de Medrano and Rau: Combinatorial patchworking: back from tropical geometry, Trans. Amer. Math. Soc. 377 (2024), no. 10, 6793–6826
- Ferroni, Morales and Panova: Skew shapes, Ehrhart positivity and beyond, Preprint arXiv:2503.16403
- Ferroni and Fink: The polytope of all matroids, Selecta Math. (N.S.) 31 (2025), no. 5, Paper No. 109, 29 pp.
- Juhnke-Kubitzke, Solus and Venturello: Triangulations of cosmological polytopes, Algebr. Comb. 8 (2025), no. 4, 1141–1168
- Kaibel and Kukharenko: Rock extensions with linear diameters, SIAM J. Discrete Math. 38 (2024), no. 4, 3005–3026
- Körber: Triangulations and Maximal Cross-Ratio Degrees, Preprint arXiv:2604.21653
- Rau, Renaudineau and Shaw: Real phase structures on tropical varieties and patchworks in higher codimension, Int. Math. Res. Not. IMRN 2025, no. 20, Paper No. rnaf312, 36 pp.