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 and different physical paradigms, such as quantum, classical, and relativistic physics.
In my thesis, I looked at the behavior of high-frequency solutions to wave-type equations, such as the Klein-Gordon or Klein-Gordon-Maxwell equations. In the case where the high-frequency limit is also a semiclassical limit, one typically recovers relativistic fluid and kinetic equations as a limit system, e.g., the relativistic Euler equation, the relativistic Euler-Maxwell equations or the relativistic Vlasov-Maxwell equations. For this reason, the study of relativistic fluid and kinetic equations is also of great interest to me. The main tools I used for this work were semi-classical analysis, WKB analysis, and the modulated energy method. Overall, I like to adapt classical methods to the relativistic setting.
Here is a list of some conferences I attended :
September 2024 |
Aspects of cosmology, mathematics and physics at École polytechnique |
June 2024 |
Nonlinear Waves and Fluids at University College London |
April 2024 |
Curved spacetimes, field theory and beyond at Institut Henri Poincaré |
May 2024 |
Turbulent·e·s Conference at École polytechnique |
May 2024 |
Semiclapp: Semiclassical analysis and applications at Université Côte d’Azur |
December 2024 |
SALVE Winter School a École Normale Supérieure |
June 2023 |
New Trends in Mathematical Fluid Dynamics at Université Grenoble Alpes |
January 2024 |
Conférence itinérante du GDR Analyse des équations aux dérivées partielles at Université de Nantes |
March 2022 |
Aspects of Gravity Mathematics and Physics at École Polytechnique |
February 2022 |
Conférence itinérante du GDR Analyse des équations aux dérivées partielles in Vannes |
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 the list of talks I gave :
July 2025 |
Seminar on Mathematical General Relativity at Laboratoire Jacques-Louis Lions in Sorbonne Université UPMC |
March 2025 |
PhD students’ Colloquium, at Département de Mathématiques et Applications in École Normale Supérieure |
February 2025 |
PhD students’ Seminar in Analysis at Laboratoire de mathématiques d’Orsay in Université Paris-Saclay |
January 2025 |
Probability, Mathematical Physics, and Analysis Seminar at LAREMA in Université d’Angers |
January 2025 |
PDE Seminar at IRMAR in Université de Rennes |
December 2024 |
Reading group on general relativity at Laboratoire Jacques-Louis Lions in Sorbonne Université UPMC |
November 2024 |
PDE Seminar at the Department of Mathematics and Applied Mathematics at the |
June 2024 |
Journée des doctorants du CMLS at École polytechnique |
April 2024 |
Reading group on general relativity at École polytechnique and Laboratoire Jacques-Louis Lions |
