AWARDS

- Otto Hahn Medal, Max-Planck-Gesellschaft, 1992

- Prix de la Mairie de Paris, Premier Congrès Européen de Mathématiques, 1992

- Henri Poincaré Prize, 1997

- Prize of the International Congress of Mathematical Physics, Brisbane, 1997

- Fields Medal, IMU, ICM Berlin, 1998

- Crafoord Prize, 2008
MEMBERSHIP

- Academia Europaea, member

- Institut de France, member
EDITORIAL BOARDS

- Compositio Mathematica, from 1994

 - International Mathematical Research Notices, from 1994

- Publications Mathematiques IHES, from 1996

- Selecta Mathematica (New Series), from 1996

- Letters in Mathematical Physics, from 1999

- Journal of Noncommutative Geometry, from 2007

 - Communications in Number Theory and Physics, from 2007