I am a postdoc at University of Duisburg-Essen in the working group of Prof. Dr. Vytautas Paškūnas.
Research interests
I am working on deformation theory of mod $p$ Galois representations of number fields with values in a reductive group $G$.
I am also working on the deformation theory of $G$-valued pseudocharacters and determinant laws for the symplectic groups.
Preprints
- 2024. On local Galois deformation rings: generalised reductive groups, with Vytautas Paškūnas, arXiv
- 2024. On local Galois deformation rings: generalised tori, with Vytautas Paškūnas, arXiv, accepted for publication in Forum of Mathematics, Sigma
- 2023. Symplectic determinant laws and invariant theory, with Mohamed Moakher, arXiv
- 2023. Deformations of $G$-valued pseudocharacters, arXiv
Talks
- 2024-12-20. University of Heidelberg, On local Galois deformation rings.
- 2024-11-2x. Conference on $p$-adic methods in number theory, Mumbai, On local Galois deformation rings.
- 2024-09-20. University of Duisburg-Essen, ENTR Workshop 2024, On local Galois deformation rings.
- 2024-06-11. University of Münster, On local Galois deformation rings.
- 2024-05-14. University of Wuppertal, On local Galois deformation rings.
- 2024-05-08. University of Luxembourg, On local Galois deformation rings.
- 2023-12-07. University of Amsterdam, Pseudocharacters for symplectic groups
- 2023-11-15. ESAGA, Linearisations and projective GIT, notes
- 2022-09-21. Heidelberg Laureate Forum visit, $G$-valued pseudocharacters, slides
- 2022-04-07. University of Duisburg-Essen, The deformation space of $G$-valued pseudocharacters
Teaching Assistance
Winter term 2021/22 | Étale Cohomology |
Summer term 2021 | Algebraic Geometry II |
Winter term 2020/21 | Algebraic Geometry I |
Summer term 2020 | Algebra II |
Winter term 2019/20 | Affine algebraic groups |
Summer term 2019 | Bilinear forms and classical groups |
Winter term 2018/19 | Complex Analysis II |