Research Projects of Wolfgang Ebeling

 A main area of interest of our research group is singularity theory. Here we investigate singular points of real and complex algebraic varieties. This leads to many questions related to algebraic geometry and differential topology. Special topics are singularities of complex hypersurfaces and their monodromy as well as indices of vector fields and 1-forms on singular varieties. We also investigate the relationship to string theory. A special point of interest is the strange duality between weighted homogeneous polynomials which corresponds to the mirror symmetry of Landau-Ginzburg models. (Ebeling et al.)