Interests
Arithmetic statistics on automorphic forms deal with understanding the behavior of families of automorphic representations. Those are much better-behaved than isolated representations. The beginning of the story and the aims of arithmetical statistics is well described in this survey.
Publications
- Low-lying zeros for Quaternion Algebras, in preparation
- Counting and Equidistribution for Quaternion Algebras (arXiv)
- Optimal transportation with an oscillation-type cost: the one-dimensional case (arXiv)
Notes
Here are some notes written as complements to some talks I gave:- Introduction to the Selberg Trace Formula (in french)
- Local and global volumes and Tamagawa numbers (in french)
- Families of L-functions and Type of Symmetry (in french)
- Classical proof of the Jacquet-Langlands correspondence (in french)