1 - Computational aspects of modular forms and Galois representations : how one can compute in polynomial time the value of Ramanujan's tau at a prime |
2 - Algebraic K-groups as Galois modules |
3 - Taming wild extensions : Hopf algebras and local Galois module theory |
4 - The b-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem |