Research
Research Projects

Current Research Projects

The research group participates in the following projects.

DFG Research Grants

  • Topological properties of algebraic varieties
    This project studies topological properties of algebraic varieties. Topics include: Applications of birational geometry and in particular of the birational classification theory to topological questions; Classification of Kähler manifolds with holomorphic one-forms without zeros; Construction problem for Hodge numbers.
    Leaders: Prof. Dr. Stefan Schreieder
    Year: 2019
    Sponsors: DFG Research Grant
    Lifespan: 2019 to 2022
  • Orbifold concepts in equivariant singularity theory
    The main objectives of the project are the development of orbifold analogues of classical concepts of singularity theory in the presence of a finite group action on the variety and the investigation of orbifold type invariants.
    Leaders: Prof. Dr. Wolfgang Ebeling
    Year: 2017
    Sponsors: DFG Research Grant
    Lifespan: 2017 to 2023
  • Compactifications of moduli spaces of polarized K3 surfaces and IHSM
    Topics of this project are: The geometry of toroidal compactifications of polarized K3 surfaces and IHSM; Admissible fans for toroidal compactifications of orthogonal modular varieties; Modular compactifications
    Leaders: Prof. Dr. Klaus Hulek
    Year: 2016
    Sponsors: DFG Research Grant
    Lifespan: 2016 to 2020
Completed projects can be found in the archive.