Mathilde Gerbelli-Gauthier

activity

20192025

most citedGrowth of cohomology of arithmetic groups and the stable trace formula: the case of

U (2, 1)

1 citations · 1 across the 9 of their papers we have counts for

collaborators

10 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 $π$ of $p$ -adic $GL_{N}$ under principal congruence subgroups: First, a uniform bound on th…

math.NT2024

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 $ε (1/2, π)$ of self-dual cuspidal automorphic representations $π$ of $GL_{2 N} / F$ with conductor $n$ an…

math.NT2024

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.NT2024

A Note on Large Sums of Divisor-Bounded Multiplicative Functions

Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1

Given a multiplicative function $f$ , we let $S (x, f) = \sum_{n \leq x} f (n)$ be the associated partial sum. In this note, we show that lower bounds on partial sums of divisor-bounded fu…

math.NT2023

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.NT2023

Large Sums of Fourier Coefficients of Cusp Forms

Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1

Let $N$ be a fixed positive integer, and let $f \in S_{k} (N)$ be a primitive cusp form given by the Fourier expansion $f (z) = \sum_{n = 1}^{\infty} λ_{f} (n) n^{\frac{k - 1}{2}} e (n z)$ . We consi…

math.NT2023

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.NT2022

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 $π_{0}$ at infinity and given split level. We compute statistics of this family as the…

math.RT2021

Limit Multiplicity For Unitary Groups and The Stable Trace Formula

Mathilde Gerbelli-Gauthier

We give upper bounds on limit multiplicities of certain non-tempered representations of unitary groups $U (a, b)$ . These include some cohomological representations, and we give appli…

math.NT2019★ 1 cited

Growth of cohomology of arithmetic groups and the stable trace formula: the case of $U (2, 1)$

Mathilde Gerbelli-Gauthier

We present a strategy to use the stable trace formula to compute growth in the cohomology of cocompact arithmetic lattices in a reductive group $G$ . We then implement it in the cas…

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

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

Cohomology of Fuchsian groups and Fourier interpolation

A Note on Large Sums of Divisor-Bounded Multiplicative Functions

The Cohomological Sarnak-Xue Density Hypothesis for SO5​

Large Sums of Fourier Coefficients of Cusp Forms

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

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

Limit Multiplicity For Unitary Groups and The Stable Trace Formula

Growth of cohomology of arithmetic groups and the stable trace formula: the case of U(2,1)

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

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

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

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

Growth of cohomology of arithmetic groups and the stable trace formula: the case of $U (2, 1)$