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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