Algebraic Geometry

The main interests of the Algebraic Geometry group:

  • The classification of vector bundles on algebraic curves
  • The geometry of moduli spaces of stable bundles, especially Brill-Noether theory
  • Hyperbolic Kac-Moody algebras; mirror symmetry
  • Higher dimensional birational geometry
  • Algebraic Cycles, Motives, Bloch's conjecture on Albanese kernel, A^1-homotopy theory of schemes
  • Moduli spaces of curves and Gromov-Witten theory