Togliatti Surface by Claudio Rocchini CC-BY-SA-3.0

The research topics in Algebraic Geometry investigated by our group include:

  • Classical problems in projective algebraic geometry, in particular the classification of algebraic surfaces and their moduli spaces; and the geography of threefolds of general type.

  • Hodge theory, in particular the study of special Shimura variety and the Mumford—Tate conjecture.

  • Calabi-Yau varieties, in particular the interplay between Algebraic Geometry and Theoretical Physics: homological mirror symmetry and F-theory.