Forschungsschwerpunkte

Singularity Theory

  • Deformation Theory
  • Normal Surface Singularities
  • Lagrangian Singularities
  • Topological Aspects of
    local Algebra
  • Computational Aspects

Algebraic Geometry

  • Surfaces in three-space
  • Varieties with many Singularities
  • Abelian Varieties
  • Calabi-Yau Manifolds
  • Computational Aspects
  • Differential Equations

Differential Equations

  • Picard-Fuchs Operators
  • Mirror Symmetry
  • Local Systems and Monodromy
  • Integrable Systems
  • Arithmetical Aspects