My research interests are in analytic number theory and automorphic forms, more precisely in topics such as modular forms, L-functions, trace formulae, subconvexity, quantum unique ergodicity, etc.
I’m currently working with some generalizations of modular forms called the Siegel modular forms, where I’m trying to generalize a result of my advisor, corresponding to an average version of the Lindelöf hypothesis.

2020 update

The sphere packing problem in dimensions 8 and 24

The Mordell-Weil theorem and the Birch and Swinnerton-Dyer conjecture

Le théorème de densité de Chebotarev (french)

Étude des pavages dun plan par la théorie des groupes (french)