activity
20242026
most citedThree counterexamples to a conjecture of Colin de Verdière on multiplicity

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.SP2026

Bass notes of random hyperbolic surfaces of large genus

Bram Petri

This is a Séminaire Bourbaki survey on spectral gaps of random hyperbolic surfaces. The first part of the text is a brief survey on the geometry and spectra of random hyperbolic s…

math.SP2026★ 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 , , and such that the multiplicity of the first nonzero eigenvalue of their Laplacian is larger than the maximum conject…

math.SP2025

Apollonian random manifolds and their bass notes

Will Hide, Bram Petri, Anna Roig-Sanchis +1

We study the spectrum of the Laplacian on two models of random hyperbolic 3-orbifolds, related to the Apollonian group and the super Apollonian group. We determine explicit spectra…

math.SP2024

Limit points of uniform arithmetic bass notes

Will Hide, Bram Petri

We prove that the set of limit points of the set of all spectral gaps of closed arithmetic hyperbolic surfaces equals .