Research

I work in algebraic number theory and arithmetic geometry. More precisely, anabelian geometry. I am particularly interseted in the following questions:

• The anabelian geometry of hyperbolic curves over big fields (e.g. finite extensions of the maximal abelian extension of Q).
• Reconstruction of fields from their absolute Galois groups (possibly with some extra data or conditions).
• Generic higher dimensional examples of anabelian varieties (i.e. algebraic varieties of dimension at least 2 such that Grothendieck’s isom-conjecture holds true).
• Arithmetic analogues of cuspdialisation theory.