I am a third year PhD student in mathematics at École Normale Supérieure in Paris. My advisers are Rémi Rhodes and Vincent Vargas. Starting from September 2018 I will be a post-doc at Columbia University.
My interests lie at the interface between probability theory, mathematical physics, and geometry. In particular I am currently studying the Liouville quantum field theory. This field theory allows us to understand random geometry in two-dimensions: it has strong links with many canonical two-dimensional random objects such as the Gaussian free field, Gaussian multiplicative chaos, Schramm-Loewner evolutions, and random planar maps. Liouville theory is also a conformal field theory (CFT) which means it is integrable and we can use the framework of CFT developed by Belavin, Polyakov, and Zamolodchikov (1984) to perform many explicit computations.
Publications in probability and mathematical physics