Mengen, die mich enthalten:

A tree associated to the cusp curve X³ = Y² in Z₃; see Trees of definable sets in Z_p for details.

Forschungsgebiete

Main topic: Model theory and arithmetic geometry in henselian valued fields

• A strong kind of Whitney stratifications in henselian valued fields
• Motivic integration: new transfer principles and some applications to representation theory of p-adic groups

Other topics:

• Representation theory (of real reductive groups), symmetric varieties
• Model theory of pseudo-algebraically closed fields
• Combinatorics
  • Polyomino achievement games
  • Zero-sum problems in finite abelian groups
  • Covering codes