I am a postdoc at the Leibniz Universität Hannover, working in arithmetic geometry. More specifically, I am interested in:
- "special" values of motivic L-functions, and their connections to periods (conjectures of Beilinson and Bloch-Kato);
- Mahler measures of polynomials, and their relations to special values of L-functions (conjectures of Boyd);
- Northcott, Bogomolov and Lehmer properties for families of special values of L-functions;
- elliptic curves and abelian varieties with complex multiplication, and Galois representations associated to their torsion points;
- Arakelov geometry, with particular emphasis on explicit methods to prove the arithmetic analogues of the standard conjectures in some cases.
You can find out more about me on my website.