I am interested in motivic homotopy theory and quadratically refined enumerative geometry. In the past years, I have been thinking a lot about quadratic Euler characteristics.
Preprints
- A1-Euler Characteristic of Low Symmetric Powers and Split Toric Varieties. preprint 2026
- The A1-Euler characteristic of symmetric
powers, joint with Jesse
Pajwani and Anna
Viergever. preprint 2025.
This is a survey article written for the conference proceedings of the IAS Park City Mathematics Institute Summer Session on motivic homotopy theory 2024 and based on the talk we gave there.
Published Papers
- Quadratic Euler Characteristic of Symmetric Powers of Curves, joint with Anna Viergever. manuscripta mathematica 176, 26 (2025). ArXiV version
Thesis
- On the Compactly Supported A1-Euler Characteristic of Symmetric Powers and Geometrically Cyclic Branched Coverings. PhD-Thesis. Published via DuEPublico, the open access institutional repository of the University Duisburg-Essen, see https://nbn-resolving.org/urn:nbn:de:hbz:465-20250430-083735-6