Motto:

"Let no one ignorant of geometry leave here",  Shing-Tung Yau - The Shape of Inner Space. 

Research interests

The algebraic geometry group in Genova has research interests that include: Algebraic Geometry, Complex Geometry, Geometry from Mathematical Physics, Algebraic Number Theory and Arithmetic Geometry. More specifically, some topics that are actively pursued by faculty members of this group are:

• Geometry of complex  algebraic surfaces, in particular k3 surfaces,  surfaces of general type and their moduli spaces;

• Geometry, constructions and moduli of higher dimensional varieties in particular: irreducible symplectic manifolds,  threefolds of general type, Fano varieties, and abelian varieties;

•  The theory of abelian varieties, modular forms and their associated L-functions;

• Moduli spaces of sheaves on complex surfaces; quiver varieties; Fourier-Mukai and Nahm transforms;  

• Geometry of integrable systems; bi-Hamiltonian structures; special-Kähler geometry; 

• Geometry and applications to gauge theory and to string theories;

• History of mathematics in the 19th and 20th centuries; philosophical aspects of the relationship between geometry and physics; 

• Convex geometry of Newton-Okounkov bodies together with its relation to positivity aspects in algebraic geometry and the study of syzygies of algebraic varieties.