I am a maître de conférences at Sorbonne Université. My work focuses on topics related to probability, geometry and mathematical physics. I am interested in any interplay we may found between probability and geometry, mostly if it has a physical motivation.
For the time being, I have studied Coulomb gases, on manifolds and on Euclidean spaces, and the asymptotic behavior of the associated empirical measure, the largest modulus particle and the point process.
Some links and documents:
The final version of my PhD thesis and the slides used in its defense.
A large deviation principle for a natural sequence of point processes on a Riemannian two-dimensional manifold in Pro Mathematica (PUCP).
Una introducción a las ideas del electromagnetismo clásico desde un punto de vista matemático.
Notas de un minicurso dado en la escuela de invierno de la ASDF (PUCP).
Below you may find a summary (without much definitions) of some of my work. I try to explain some of my actual motivations and what I really want to convey with each of those articles.
LPSM - 4 Pl. Jussieu, 75005 Paris