Tony Salvi
Tony Salvi

Postdoc in Mathematics

Institut de Mathématiques de Jussieu Sorbone Université
4 place Jussieu 75005 Paris – France – tsalvi AT imj-prg.fr

Research Topics

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
University of Crete

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