Research
My research interests lie in Arithmetic Geometry, more specifically in the p-adic geometry of Shimura varieties. I like to focus on problems concerning p-divisible groups, alias Barsotti–Tate groups, and Rapoport–Zink spaces, especially in the ramified setting.
Publications
-
The integral Hodge polygon for p-divisible groups with endomorphism structure (with S. Bijakowski); to appear in the Tunisian Journal of Mathematics. pdf
-
Hodge–Newton filtration for p-divisible groups with ramified endomorphism structure; Documenta Mathematica 27, 1805-1863 (2022). pdf
Theses and others
-
Hodge–Newton filtration for p-divisible groups with quadratic ramified endomorphism structure; PhD thesis (2020), Universität Duisburg-Essen. pdf
-
A Purity Theorem for Torsors; ALGANT Master thesis (2016), Universiteit Leiden, Universität Duisburg-Essen. pdf
-
Addendum to "A Purity Theorem for Torsors": Extending morphisms of torsors for finite flat group schemes. pdf
Talks
-
23 February 2024. Various notions of Hodge polygon for Barsotti–Tate groups with additional ramified structure; Algebraic Geometry and Number Theory Seminar at Università degli Studi di Padova.
-
3 July 2023. Barsotti–Tate groups with ramified endomorphism structure; 32èmes Journées Arithmétiques à Nancy (contributed talk). slides
-
9 June 2023. The integral Hodge polygon for Barsotti–Tate groups with endomorphism structure; Arithmetic Geometry Seminar at Università degli Studi di Milano.
-
5 July 2022. The integral Hodge polygon for Barsotti–Tate groups with additional ramified endomorphisms; Algebra, Arithmetic and Geometry Seminar at the University of Nottingham.
-
31 March 2022. Filtrations of Barsotti–Tate groups via Harder–Narasimhan theory; Number Theory Seminars at Università degli Studi di Padova.
-
7 and 14 May 2020. On the Hodge–Newton filtration for p-divisible groups; RTG Seminar at the University of Duisburg-Essen.
Posters
- 12 December 2023. Hodge–Newton filtration for p-divisible groups with ramified endomorphism structure; RTG Review Meeting at the University of Duisburg-Essen. poster