Awards
- Breakthrough Prize, Breakthrough foundation, 2020
- Fields Medal, IMU, 2014
- Fermat Prize, Institut de Mathématiques de Toulouse, 2013
External Positions
- Chair, ICM Programme Committee, ICM, 2018
- Member, Scientific Committee of the MFO, Oberwolfach Research Institute for Mathematics, 2012
- Member, Comité de Programmation Scientifique, Institute Henri Poincaré, 2011
Fellowships
- Fellow of the AMS, American Mathematical Society, 2016
- Fellow of the Royal Society, Royal Society, 2014
Editorial Boards
- Communications in Mathematical Physics, Associate Editor
- Journal of Functional Analysis, Associate Editor
- Annales de l'Institut Henri Poincaré, Associate Editor
- Probability Theory and Related Fields, Associate Editor