Research
My research lies in number theory and arithmetic geometry, with a particular emphasis on arithmetic properties of algebraic groups, strong approximation, and local-global principles.
Current Research
My current research focuses on strong approximation for algebraic groups over function fields of real curves, particularly norm-one groups of quaternion division algebras. I am currently studying Yamasaki's strong approximation theorem over R(x), with the goal of developing a more conceptual approach that may extend to function fields of arbitrary real algebraic curves.
Publications and Preprints
On Almost Strong Approximation in Reductive Algebraic Groups
with Andrei S. Rapinchuk. Accepted for publication in Algebra & Number Theory. [arXiv]
A New Approach to Belief Revision
with Witold Łukaszewicz. In Current Research in Mathematical and Computer Sciences, 2017. [PDF]
Ph.D. Dissertation
Almost Strong Approximation in Reductive Algebraic Groups,
University of Virginia, 2025. Advisor: Andrei S. Rapinchuk. [PDF]
Master's Thesis
Étude de certaines familles plates de schémas affines
(written in French)
Université de Lorraine, 2018. Advisor: Matei Toma. [PDF]