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

- positivity conditions for vector and principal (Higgs) bundles;
- moduli spaces of (principal) Higgs bundles;
- complex projective varieties with Hessian indeterminated.

I am intrigued by:

- cohomology of compact Kähler spaces (compact, complex, reduced analytic spaces with a Kähler form);
- singularites of (Poincaré) normal functions;
- counting curves and sheaves on K3 surfaces;
- Hopf algebra cohomology;
- curves on Abelian surfaces and on surfaces of general type.