Research

Research interests

Birational classification of algebraic varieties and derived categories of algebraic varieties. More specifically:

• Semiorthogonal decompositions and their relation to the minimal model program.
• Campana's birational classification program and differential forms therein.

Publications and preprints

1. Extension of adapted differentials on klt orbifolds.
   (Submitted.)
   Preprint: arXiv:2411.17268.
2. The Albanese morphism for hyperelliptic varieties.
   with Pieter Belmans and Andreas Demleitner.
   Indagationes Mathematicae (2025). DOI:10.1016/j.indag.2025.10.004.
   Preprint: arXiv:2411.14814.
3. Adapted differentials as a qfh-sheaf.
   Mathematische Zeitschrift 304, 68 (2023). DOI:10.1007/s00209-023-03330-6.
   Preprint: arXiv:2210.07968.
4. A note on semiorthogonal decompositions for Fano fibrations.
   Geometriae Dedicata 216, 20 (2022). DOI:10.1007/s10711-022-00680-z.
   Preprint: arXiv:2002.10987.

PhD, master's and bachelor's theses

• Categorical aspects of Campana orbifolds, PhD thesis written under the supervision of Stefan Kebekus at the University of Freiburg (2023).
• Derived categories of Fano fibrations, master's thesis written under the supervision of Luca Tasin and Pieter Belmans at the University of Bonn (2019).
• Blow-ups in algebraic geometry, bachelor's thesis written under the supervision of Nikita Geldhauser at the Ludwig-Maximilians-University of Munich (2017).