Mathematics Department  >  Algebraic Geometry Research Group  >  Research areas

Research areas


Deformation theory (Bandiera, Fiorenza, Manetti). Deformations of complex manifolds and holomorphic maps, homotopical methods in deformation theory, differential graded Lie algebras, L-infinity algebras.
Modular varieties (Dalla Piazza, Salvati Manni) Moduli spaces of abelian varieties, modular varieties, Borcherds products, theta functions, modular forms.