Bram Petri

collaborators

3 papers

math.GT2026

Random surfaces with large systoles

Mingkun Liu, Bram Petri

We present two constructions, both inspired by ideas from graph theory, of sequences random surfaces of growing area, whose systoles grow logarithmically as a function of their are…

math.GT2026

A sharper bound on the minimal possible diameter of a closed hyperbolic surface

Joffrey Mathien, Bram Petri

We prove that the minimal possible diameter of a closed hyperbolic surface of genus $g$ is at most $lo g (g) + 25 lo g lo g (g) + O (1)$ .

math.GT2026

Linear programming bounds for hyperbolic surfaces

Maxime Fortier Bourque, Bram Petri

We adapt linear programming methods from sphere packings to closed hyperbolic surfaces and obtain new upper bounds on their systole, their kissing number, the first positive eigenv…