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Area of research

 

The main area of the working group is the algebraic and complex geometry. The following topics are key aspects of research.

 

Alonso:

  • Iregular varieties of general type
  • Deformations and Torelli theorems
  • Multiplier Ideals of singularities
  • Subvarieties of the moduli space of abelian varieties

 

Ebeling:

  • Mirror symmetry
  • Monodromy
  • Singularities

 

Hulek:

  • Moduli spaces
  • Algebraic surfaces (in particular K3 surfaces)
  • Abelian varieties
  • Irreducible holomorphic symplectic manifolds (hyperkähler manifolds)
  • Cubic hypersurfaces 

 

Krug:

  • Derived categories of coherent sheaves
  • Hilbert schemes of points
  • Calabi-Yau varieties

 

Schreieder:

  • Rationality Probelms
  • Birational Geometry
  • Cycles und Chow groups
  • Topology of algebraic varieties

 

Schütt:

  • K3- and Enriques surfaces
  • Calabi-Yau varieties
  • Modular forms
  • Elliptic fibrations