I am currently a Senior Researcher (Directeur de Recherche) at the French National Center for Scientific Research (CNRS). My research focuses on two main areas:
Homomorphic Cryptography, with a particular emphasis on Fully Homomorphic Encryption (FHE) techniques and their applications.
Mathematical Analysis, Modeling, and Numerical Approximation of PDEs, particularly in the study of particle interactions and stellar dynamics. This includes stability issues in kinetic models, asymptotic analysis, and numerical approximations of multiscale PDEs.
I am also interested in the interplay between machine learning and numerical methods for PDEs, as well as investigating the feasibility of leveraging FHE techniques for secure and privacy-preserving machine learning.
Habilitation à Diriger des Recherches (HDR) in mathematics, 2002
PhD in Mathematics, 1996
Ecole Normale Supérieure Paris-Saclay, 1990-1993