[2] He received his doctorate in mathematics from Princeton University, under the supervision of Elias Stein, in 2002[3] with a thesis titled "Estimates for Oscillatory Integral Operators".
[5] He was a post-doctoral fellow at the University of Amsterdam (2002-2005) and at the Scuola Normale Superiore in Pisa, where he became assistant professor in 2007.
[5] He has been a Mitsubishi Heavy Industries Professor of High Energy Physics at École Normale Supérieure in Paris since 2016 [6] and in 2017 he became a permanent professor at the Institut des Hautes Études Scientifiques.
He is the deputy director of the international collaboration on the nonperturbative bootstrap[8] financed by the Simons Foundation.
[9] In 2014 he received the New Horizons in Physics Prize “For developing new techniques in conformal field theory, reviving the conformal bootstrap program for constraining the spectrum of operators and the structure constants in 3D and 4D CFT’s.”[10] He was the 2019 laureate of the Grand Prix Mergier-Bourdeix of the French Academy of Sciences for his work on the conformal bootstrap.