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 nicely described in this survey.
I am interested more widely in analytic number theory methods and object, and am currently exploring new landscapes with Kuan Chan Ieong, namely multiple Dirichlet series, moments of L-functions and the circle method.
Publications and preprints
- Sums of even ascending powers
with C. I. Kuan and X. Xiao
submitted for publication - Quadratric Twists of central values: the number field case
with C. I. Kuan
submitted for publication - The Volumes of Miyauchi subgroups
with I. Petrow
submitted for publication - Low-lying zeros of L-functions for Quaternion Algebras
Ann. Institut Fourier, to appear (2020) - Counting and Equidistribution for Quaternion Algebras
Math. Zeitschrift (2020) 295:129-159 - Optimal transportation with an oscillation-type cost: the one-dimensional case
with P. Pegon and F. Santambrogio
Set-Valued Var. Anal (2013) 21:541–556
Publications in pedagogy
- Pour un enseignement par la recherche. Compte rendu d'un groupe de travail
Repères IREM (2020) to appear - L'algèbre, ou l'école de la raison
Repères IREM (2013) 93:5-36
Book
- Développements de mathématiques pour l'agrégation externe
with P. Le Barbenchon, P. Montagnon and T. Pierron
Dunod (2020) to appear
Thesis
- Arithmetic Statistics for Quaternion Algebras
PhD thesis, under the supervision of F. Brumley
Université Paris 13 - Autour de la correspondence de Jacquet-Langlands
MSc thesis, under the supervision of F. Brumley
Université Pierre-et-Marie-Curie - Théorie générale du transport et applications
BSc thesis, under the supervision of F. Santambrogio
École Normale Supérieure de Cachan
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)