Research Projects of Klaus Hulek

Several members of the group work on moduli spaces. One area concerns moduli spaces of algebraic varieties with trivial canonical bundle: abelian varieties, K3 surfaces and irreducible holomorphic symplectic manifolds, where we also explore the relationship with modular forms. Our interest lies in understanding the geometry of these moduli spaces as well as their Chow groups and their topology. We also investigate moduli spaces of curves, including spin curves and Prym curves. (Hulek et al.)