I am interested in geometry and dynamics, especially the dynamics of moduli spaces of curves. I work on flat surfaces, and more precisely on counting problems for closed geodesics on these surfaces. The dynamics in these surfaces is related to the dynamics of billiards in rational polygons.
My research area includes ergodic theory, complex and differential geometry, topology, algebraic geometry, number theory and combinatorics.
After my studies in ENS Rennes, I did a Master at the Université of Paris 7, and a thesis in Rennes under the supervision of Anton Zorich. Next I spend a year in Bonn for postdoc at the Max Planck Institute for Mathematics.
I am interested in Probabilities and especially to models in Statistical Mechanics which exhibit the phenomenon of Self-Organized Criticality. This phenomenon concerns certain complex systems, composed of a large number of dynamically interacting elements, which are naturally attracted by critical points, without any external intervention. During my PhD thesis, I modified the mean-field version of Ising model in order to build and study a model exhibiting this behaviour.
I am currently focusing on more complex models which retain a non trivial geometric structure together with the property of Self-Organized Criticality.
I am a former student of the Magistère de Mathématiques d'Orsay and the ENS Cachan, I did my PhD Thesis under the supervision of Raphaël Cerf at the Université Paris-Sud and ENS Paris.
I’m interested in Partial Differential Equations and more precisely in some models originating from kinetic theory. The goal is to study a system of many particles through the associated particle density. The central equation of kinetic theory is named after Ludwig Boltzmann. During my PhD, I worked on questions like the existence of solutions or their asymptotic behaviour for some Boltzmann-related equations. I am now interested in more varied problems of PDEs both from kinetic theory and other fields.
I am an alumnus from the ENS Cachan and I studied at University Pierre et Marie Curie for my master’s degree. I then went to Dauphine University to start my PhD under the supervision of Stéphane Mischler.