See the web page of the Complex Algebraic Geometry Group in Milano.
Algebraic geometry and homological algebra. In particular:
- Derived categories of coherent sheaves and twisted sheaves.
- Fourier-Mukai functors and Fourier-Mukai kernels (triangulated and dg versions).
- Stability conditions on derived and triangulated categories.
- Varieties with trivial canonical bundle with particular attention to K3 surfaces and abelian varieties.
- Geometry of smooth cubic hypersurfaces.
My research is partially supported by the research projects:
- FIRB 2012 "Moduli Spaces and Their Applications" (web page);
- The national research project "Geometria delle Varietà Proiettive" (PRIN 2010-11) (web page).