Mathilde Gerbelli-Gauthier

collaborators

6 papers

math.RT2025

Uniform bounds and uncertainty for asymptotics of representations of $p$ -adic $GL_{N}$

Rahul Dalal, Mathilde Gerbelli-Gauthier, Simon Marshall

We prove two results on the growth of dimensions of fixed vectors of representations $I ¨ $ of $p$ -adic $GL_{N}$ under principal congruence subgroups: First, a uniform bound on t…

math.NT2025

Mod $ℓ$ gamma factors and a converse theorem for finite general linear groups

Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson +3

The local converse theorem for Rankin-Selberg gamma factors of $GL_{2} (F_{q})$ proved by Piatetski-Shapiro over $C$ no longer holds after reduction modulo $\…

math.NT2025

The Cohomological Sarnak-Xue Density Hypothesis for $S O_{5}$

Shai Evra, Mathilde Gerbelli-Gauthier, Henrik P. A. Gustafsson

We prove the cohomological version of the Sarnak--Xue Density Hypothesis for $S O_{5}$ over a totally real field and for inner forms split at all finite places. The proof relies on…

math.NT2025

Cohomology of Fuchsian groups and Fourier interpolation

Mathilde Gerbelli-Gauthier, Akshay Venkatesh

We give a new proof of a Fourier interpolation result first proved by Radchenko-Viazovska, deriving it from a vanishing result of the first cohomology of a Fuchsian group with coef…

math.NT2025

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$

Rahul Dalal, Mathilde Gerbelli-Gauthier

Let $F$ be a totally real field. We study the root numbers $I^µ (1/2, I ¨ )$ of self-dual cuspidal automorphic representations $I ¨ $ of $GL_{2 N} / F$ with conductor $n$ …

math.NT2024

Statistics of Cohomological Automorphic Representations on Unitary Groups via the Endoscopic Classification

Rahul Dalal, Mathilde Gerbelli-Gauthier

Consider the family of automorphic representations on a unitary group with cohomological factor $I ¨ _{0}$ at infinity and given split level. We compute statistics of this family as th…

Uniform bounds and uncertainty for asymptotics of representations of p-adic GLN​

Mod ℓ gamma factors and a converse theorem for finite general linear groups

The Cohomological Sarnak-Xue Density Hypothesis for SO5​

Cohomology of Fuchsian groups and Fourier interpolation

Root Number Equidistribution for Self-Dual Automorphic Representations on GLN​

Statistics of Cohomological Automorphic Representations on Unitary Groups via the Endoscopic Classification

Uniform bounds and uncertainty for asymptotics of representations of $p$ -adic $GL_{N}$

Mod $ℓ$ gamma factors and a converse theorem for finite general linear groups

The Cohomological Sarnak-Xue Density Hypothesis for $S O_{5}$

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$