I am a mathematical physicist working on quantum field theory and its interplay with mathematics.
I introduced analytic extremal functionals to prove sharp bounds in the conformal bootstrap and later found their close relation to Viazovska’s solution of the sphere packing problem.
Recently, I have worked on adapting conformal bootstrap methods to the spectral theory of automorphic forms, with consequences for the spectra of hyperbolic surfaces and 3-manifolds.
I am a permanent researcher at Institut de Physique Théorique of CEA-Saclay and an affiliated investigator of the Simons Collaboration on the Nonperturbative Bootstrap.