Vincent Pilloni

Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.

Career Pilloni studied at the École Normale Supérieure and received his doctorate in 2009 from Université Sorbonne Paris Nord with thesis advisor Jacques Tilouine and thesis Arithmétique des variétés de Siegel.

His research deals with, among other topics, the question of how the modularity theorem for elliptic curves over the rational numbers (which led to the proof of Fermat's Last Theorem) can be extended to abelian varieties. With George Boxer, Frank Calegari and Toby Gee, he proved that all abelian surfaces and genus two curves over totally real fields are potentially modular and satisfy the Hasse-Weil conjecture.

Pilloni is a Chargé de recherche of CNRS at Paris-Saclay University based at the Institut de mathématique d'Orsay.

In 2018 he was an invited speaker, with Fabrizio Andreatta and Adrian Iovita, at the International Congress of Mathematicians in Rio de Janeiro. In 2018 Pilloni received the Prix Élie Cartan. In 2021 he was awarded the Fermat Prize.

Selected publications

with Benoit Stroh: Surconvergence, ramification et modularité, Astérisque, vol. 382, 2016, pp. 195–266. MR