Fabien Morel

Fabien Morel is developing methods of algebraic topology in algebraic geo­metry through A1-homotopy theory. He is studying A1-homotopy types of geometric classifying spaces of algebraic groups. A related application is the Friedlander-Milnor conjecture on the homology of groups of the form G(F) for F algebraically closed, which uses A1-homotopy theory and a dévissage method involving buildings of split semi-simple F-groups.