My research topic is the study of partial differential equations arising from physics, mainly relativistic ones. More precisely, I am interested in understanding complex phenomena and deriving effective dynamics at the limit between different scales of description (high-frequency limits, long-time asymptotic behavior…) and different physical paradigms (quantum, classical, and relativistic physics).

In my thesis, I looked at the behavior and limit of two types of high-frequency solutions to the Klein-Gordon-Maxwell (KGM) and the nonlinear Klein-Gordon (NLKG) equations. The first type of high-frequency solutions led me to prove an equivalent of the Burnett conjecture (originally stated for the Einstein equations) for the KGM equations, while the second type, which corresponds to the semi-classical limit, allowed me to derive relativistic hydrodynamics from both the KGM and NLKG equations. For this reason, the study of relativistic fluid or kinetic equations as well as the Einstein equations is also of great interest to me. The main tools I used for these works were semi-classical analysis, WKB analysis, and the modulated energy method. Overall, I like to adapt classical methods to the relativistic setting.

Here is the list of talks I gave :

I also often go to the Laurent Schwartz Seminar at École Polytechnique and Institut des Hautes Études Scientifiques, as well as to the Seminar on Mathematical General Relativity at Laboratoire Jacques-Louis Lions.

Here is a list of some conferences I attended :