About
The main interests of the Algebraic Geometry group:
- Foliation singularities, complex geometry
- The classification of vector bundles on algebraic curves and the geometry of moduli spaces of stable bundles
- Higher dimensional birational geometry, birational rigidity, Fano varieties
- K3 surfaces, hyperbolic Kac-Moody algebras and mirror symmetry
- Algebraic Cycles, Motives, Bloch's conjecture on Albanese kernel, A^1-homotopy theory of schemes
- Moduli spaces of curves and Gromov-Witten theory
- Derived and triangulated categories, noncommutative algebraic geometry