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 and preprints

• The integral Hodge polygon for $p$-divisible groups with endomorphism structure (with S. Bijakowski); preprint (submitted). pdf  arXiv

• 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

• 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.