My research interests lie broadly in algebra, focusing on the intersection with algebraic and arithmetic geometry.
I am in particular interested in the local aspects and the local-global principles of algebraic objects. Recently, I also started thinking about the arithmetic of stacky curves.
Publications and Preprints
- Patching for étale algebras and the period-index problem for higher degree Galois cohomology groups over Hensel semi-global fields. 25 pages. Submitted. 2023 Preprint available at arXiv:2310.20119.
- Cohomology for Picard-Vessiot theory. Joint with Man Cheung Tsui. Journal of Algebra,vol 658 (2024) 49-72. Also available at arXiv:2308.03025.
- Arithmetic invariant theory of reductive groups. 16 pages. Submitted. Preprint available at arXiv:2212.12863.