My research area is noncommutative geometry, a subject initiated by Alain Connes in the 80's. More precisely, I have so far worked on:

  • classification of operator algebras and the Elliott program, in particular the embedding theorem,
  • bivariant K-theory for algebras of type smooth functions on differentiable manifolds,
  • index theory, in particular for singular foliations,
  • smooth structures on operator algebras.