Mathilde Gerbelli-Gauthier

Email: [first name].[first last name]-[second last name]@mail.mcgill.ca
Office: Burnside 1248
Pronouns: she/her

About

I am a CRM-ISM postdoctoral fellow at McGill University. 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 mainly think about non-tempered 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".

I am on the academic job market in Fall 2023!

Papers and Preprints

• (with Akshay Venkatesh) Cohomology of Fuchsian groups and Fourier interpolation. [pdf]
• (with Shai Evra and Henrik P. A. Gustafsson) The Cohomological Sarnak-Xue Density Hypothesis for SO(5). [pdf]
• (with Claire Frechette, Alia Hamieh, and Naomi Tanabe) Large sums of Fourier coefficients of cusp forms. Submitted. [pdf]
• (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. Submitted. [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 (2016) 2:7. [pdf]

This and that

• Gil Moss and I are co-organizing a session on automorphic representations and p-adic aspects of the Langlands program at the CMS Winter Meeting on December 2-3 in Montréal. Stop by if you're around!
• 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!