Nathan Huguenin

My research deals with the mathematical construction and study of 2D conformal field theory, with a focus on Liouville and Toda CFTs. This involves techniques from probability theory (Gaussian fields, Gaussian multiplicative chaos, random geometry, diffusions...), vertex operator algebra (Virasoro/W-algebras and their representations), differential and complex geometry (Riemann surfaces, uniformization problems, Higgs bundles and harmonic metrics...), as well as strong inputs from theoretical physics (conformal quantum field theory, statistical physics).