I'm interested to complex (algebraic) geometry, in particular:

1. positivity conditions for vector and principal (Higgs) bundles;
2. moduli spaces of Higgs bundles;
3. curves on Abelian surfaces and on surfaces of general type.

I'm intrigued by:

1. Dolbeault moduli spaces;
2. cohomology of compact Kähler spaces (compact, complex, reduced analytic spaces with a Kähler form);
3. singularites of (Poincaré) normal functions;
4. complex projective varieties with Hessian indeterminated;
5. counting curves and sheaves on K3 surfaces;
6. Hopf algebra cohomology.