Work: 1991-93 and 95-97: Charg´e de Recherches (research fellow) at C.N.R.S. in Paris 1993-95: ‘Leibniz-fellow’ in Cambridge (GB). 1997-2013: Professor at University Paris-Sud (Orsay). Since 2013: Professor at ETH Z¨urich. Prizes: Rollo Davidson Prize (1998), Cours Peccot, coll`ege de France (1999), Prix Paul Doistau-Emile Blutet (Acad´emie des Sciences, 1999), Prize of the European Mathematical Society (2000), Fermat prize (2001), Prix Jacques Herbrand (Acad´emie des Sciences, 2003), Loeve prize (2005), P´olya prize (2006), Fields Medal (2006)