I am an Assistant Professor at the BICMR, Peking University. Previously, I held postdoc positions at HU-Berlin and Aix-Marseille University, mentored by Gaëtan Borot and Rémi Rhodes respectively. I received my Ph.D. from the University of Cambridge, under the supervision of Jason Miller.
I study the geometry of infinite-dimensional spaces arising in conformal field theory using tools from probability theory and analysis. This can also be understood as the harmonic analysis of loop groups and the diffeomorphism group of the circle. In the past, I have mostly focused on CFTs with Virasoro symmetry, but my most recent result addresses Kac-Moody symmetry with the construction of a canonical family of measures on the space of flat connections in the disc. In the future, I will study the links with WZW models, the Hitchin connection, and the analytic Langlands correspondence.
Jul 2026: New preprint on a non-Abelian generalisation of multiplicative chaos exhibiting Kac-Moody symmetry. [arXiv]
The next step is to prove the reversibility of this measure, a crucial property for subsequent applications to CFT.
Spring 2027: Quantum fields, Probability and Geometry at Institut Mittag-Leffler (extended stay).
Aug 24-28: Minicourse on SLE and CFT at the Chaire Morlet research school. [Preliminary notes]
Jun 14-20: Antoine Jego gave a plenary talk on our joint works at SPA Cornell. [Slides]