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

1. positivity conditions for vector and principal (Higgs) bundles; 

2. moduli spaces of (principal) Higgs bundles;

3. Hilbert vector of standard graded Artinian Gorenstein algebras, and applications.

I am intrigued by:

1. cohomology of compact Kähler spaces (compact, complex, reduced analytic spaces with a Kähler form);

2. singularites of (Poincaré) normal functions;

3. Hopf algebra cohomology;

4. complex projective varieties with Hessian indeterminated;

5. curves on minimal surfaces of general type.