Mathilde Gerbelli-Gauthier

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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…

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…

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

A Note on Large Sums of Divisor-Bounded Multiplicative Functions

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 $G L_{N}$