Mathilde Gerbelli-Gauthier

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

U (2, 1)

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

collaborators

3 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

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.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​

A Note on Large Sums of Divisor-Bounded Multiplicative Functions

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 $GL_{N}$

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