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