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.
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)