My current research project at the University of Freiburg is supported by the DFG.
General: representation theory, commutative algebra, algebraic geometry, homological algebra.
Specific: algebraic and homological invariants of singular varieties:
- Relative singularity categories and Buchweitz-Orlov singularity categories.
- Derived categories of singular varieties.
- Related structures and techniques like: semiorthogonal decompositions, noncommutative and categorical resolutions of singularities, cluster theory, quasi-hereditary algebras…