I`m interested to complex (algebraic) geometry, in particular: positivity conditions for vector and principal (Higgs) bundles; moduli spaces of Higgs bundles; curves on Abelian surfaces and on surfaces of general type. I`m intrigued by: Dolbeault moduli spaces; cohomology of compact Kähler spaces (compact, complex, reduced analytic spaces with a Kähler form); singularites of (Poincaré) normal functions; complex projective varieties with Hessian indeterminated; counting curves and sheaves on K3 surfaces; Hopf algebra cohomology.
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