Curriculum Vitae

2014. Graduation with Diploma at University of Stuttgart. Diploma thesis: Topological representations of algebraic curves.
2019. Talk at the Oberwolfach Mini-Workshop Algebraic tools for solving the Yang-Baxter equation. Talk: Desarguesian Garside groups.
2021. Graduation with Doctoral degree at University of Stuttgart. Doctoral thesis: Desarguesian and geometric right l-groups.
2022. Research in Pairs in Oberwolfach with Paula Menchón and Leandro Vendramin. Project: L-Algebras and the Yang-Baxter equation.

Lecturer in mathematics at DHBW Stuttgart.

January 2023 - June 2024. Postdoctoral researcher at Vrije Universiteit Brussel. This research has been supported by means of a Feodor Lynen fellowship granted by the Humboldt foundation.
July 2024 - December 2025. Postdoctoral researcher at Université de Caen Normandie.
January 2026 - now. Senior postdoctoral research fellow with an FWO grant at Vrije Universiteit Brussel.

Fields of research

L-Algebras
Ordered Algebraic Structures: Garside Groups, Lattice-Ordered Groups, Orthomodular Lattices

Solutions to the Yang-Baxter Equation and related Algebraic Structures: Cycle Sets, Quandles, Skew Braces

Published

Carsten Dietzel. A right-invariant lattice-order on groups of paraunitary matrices. Journal of Algebra, 524, 226-249. 2019.
Carsten Dietzel, Wolfgang Rump, Xia Zhang. One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups. Journal of Algebra, 526, 51-80. 2019.
Carsten Dietzel. On a theorem of Hildebrand. Moscow Journal of Combinatorics and Number Theory, 8(2), 189-191. 2019.
Carsten Dietzel, Wolfgang Rump. The structure group of a non-degenerate effect algebra. Algebra Universalis, 81(27). 2020.
Carsten Dietzel, Gaurav Mittal. Summands of finite group algebras. Czechoslovak Mathematical Journal, 71, 1011-1014. 2021.
Carsten Dietzel. Braces of order p²q. Journal of Algebra and its Applications, 20(8). 2021.
Carsten Dietzel, Wolfgang Rump. The paraunitary group of a von Neumann algebra. Bulletin of the London Mathematical Society, 54(4), 1020-1031. 2022.
Carsten Dietzel, Paula Menchón, Leandro Vendramin. On the enumeration of finite L-algebras. Mathematics of Computation, 92, 1363-1381. 2023.
Carsten Dietzel, Silvia Properzi, Senne Trappeniers. Indecomposable set-theoretical solutions to the Yang-Baxter equation of size p². Communications in Algebra. 2024.