Research

My research works are in the area of Arithmetic Geometry, with a focus on $p$-adic methods (where $p$ is a prime number). More specifically, some topics concerned are finite flat group schemes, Barsotti–Tate groups, $p$-adic Hodge theory, Rapoport–Zink spaces and the $p$-adic geometry of Shimura varieties, especially in the ramified setting.

Publications

• The integral Hodge polygon for $p$-divisible groups with endomorphism structure (with S. Bijakowski); Tunisian Journal of Mathematics 6-2, 189-224 (2024). doi

• Hodge–Newton filtration for $p$-divisible groups with ramified endomorphism structure; Documenta Mathematica 27, 1805-1863 (2022). doi

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

• Extending morphisms of torsors for finite flat group schemes; addendum to "A Purity Theorem for Torsors" (2023). pdf

Slides and posters

• Filtrations of Barsotti–Tate groups via Harder–Narasimhan theory; poster presented at Modular Forms, $L$-functions, and Eigenvarieties, a conference in memoriam of Joël Bellaïche, Paris, 19 June 2024. pdf

• Hodge–Newton filtration for $p$-divisible groups with ramified endomorphism structure; poster presented at the RTG Review Meeting of the University of Duisburg-Essen, 12 December 2023. pdf

• Barsotti–Tate groups with ramified endomorphism structure; slides for a contributed talk at the 32èmes Journées Arithmétiques, Nancy, 3 July 2023. pdf