Mathilde Gerbelli-Gauthier

Email: [first initial].[first last name]@utoronto.ca
Office: Huron 1009
Pronouns: she/her

About

I am an Assistant Professor in the University of Toronto's Department of Mathematics. I completed my Ph.D. in Spring 2020 at the University of Chicago, under the supervision of Matt Emerton. Here is a link to my CV.

I work in number theory and representation theory. These days, I think about asymptotic and statistical aspects of automorphic representations, and the cohomology of arithmetic groups. You can watch a talk I gave about my work for a general mathematical audience.

I am from Québec and I have a French first name. For anglophones, it is pronounced "Matild" and rhymes with "build" and "thrilled".

Papers and Preprints

• (with Rahul Dalal and Simon Marshall) Uniform bounds and uncertainty for asymptotics of representations of p-adic GLN. [pdf]
• (with Rahul Dalal) Root number equidistribution for self-dual automorphic representations on GLN. Submitted. [pdf]
• (with Claire Frechette, Alia Hamieh, and Naomi Tanabe) A note on large sums of divisor-bounded multiplicative functions. To appear in Research Directions in Number Theory. [pdf]
• (with Akshay Venkatesh) Cohomology of Fuchsian groups and Fourier interpolation. Essential Number Theory. [pdf] [arxiv]
• (with Shai Evra and Henrik P. A. Gustafsson) The Cohomological Sarnak-Xue Density Hypothesis for SO(5). Submitted. [pdf]
• (with Claire Frechette, Alia Hamieh, and Naomi Tanabe) Large sums of Fourier coefficients of cusp forms. Journal de Théorie des Nombres de Bordeaux. [pdf] [arxiv]
• (with Jacksyn Bakeberg, Heidi Goodson, Ashwin Iyengar, Gil Moss, and Robin Zhang) Mod ℓ gamma factors and a converse theorem for finite general linear groups. To appear in Documenta Mathematica. [pdf]
• (with Rahul Dalal) Statistics of cohomological automorphic representations on unitary groups via the endoscopic classification. Submitted. [pdf]
• Limit multiplicity for unitary groups and the stable trace formula. Algebra and Number Theory. [pdf] [arxiv]

This is based on the results of my thesis, which contains extra details and computations. I also wrote a prototype of the argument for U(2,1).

• The order of nilpotence of Hecke operators mod 2: a new proof. Research in Number Theory. [pdf]

This and that

• Together with Cay del Junco, I co-edited Burnout: a zine about academia, travel, and climate change. Have a look and let me know what you think!
• I made this webpage using Zev Chonoles' guide. Thanks Zev!