Maxime Fortier Bourque

activity

20132026

most citedThe holomorphic couch theorem

9 citations · 17 across the 15 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.SP2023★ 1 cited

Three counterexamples to a conjecture of Colin de Verdière on multiplicity

Maxime Fortier Bourque, Émile Gruda-Mediavilla, Bram Petri +1

We exhibit closed hyperbolic surfaces of genus $10$ , $17$ , and $37$ such that the multiplicity of the first nonzero eigenvalue of their Laplacian is larger than the maximum conject…

math.GT2023

Failure of the well-rounded retract for Outer space and Teichmüller space

Maxime Fortier Bourque

The well-rounded retract for $SL_{n} (Z)$ is defined as the set of flat tori of unit volume and dimension $n$ whose systoles generate a finite-index subgroup in homo…

math.GT2023★ 1 cited

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…