|Alma mater||École Polytechnique|
|Thesis||Cohomologie log-cristalline et representations galoisiennes p-adiques (1996)|
|Doctoral advisor||Jean-Marc Fontaine|
|Doctoral students||Xavier Caruso|
From 1993 to 1996 he conducted research at the École Polytechnique and taught simultaneously at the University of Paris-Sud, Orsay.
In 2001 he obtained a habilitation degree entitled "Aspects entiers de la théorie de Hodge p-adique et applications" at Paris-Sud 11 University.
With Fred Diamond, Richard Taylor and Brian Conrad in 1999, he proved the Taniyama–Shimura conjecture, which previously had only been proved in a special case by Andrew Wiles and Taylor. Then he worked on the p-adic Langlands conjecture.