I obtained my PhD in May 2020 from ENS Paris, working under the supervision of Vincent Vargas. There were two main axes in my research work: Gaussian multiplicative chaos (GMC) and Liouville quantum gravity (LQG). GMC is a random measure with density given by the exponential of a log-correlated Gaussian field. It has applications in random matrices, random geometry, statistical physics, finance etc. On the other hand, LQG is a physics theory that lies at the interface of quantum field theory and conformal field theory. My goal is to prove rigorously some conjectures in LQG and deduce as a consequence exact results on GMC.
During 2018-2020, I taught statistics for the course "Mathématiques et statistiques pour économistes" at ENS Paris.