Carsten Dietzel
Postdoctoral Researcher
Help me out! I'm stuck inside Boy's surface!
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 with Paula Menchón and Leandro Vendramin. Project: L-Algebras and the Yang-Baxter equation.
Lecturer in mathematics at the DHBW Stuttgart.
Currently I'm working as a postdoctoral researcher at Vrije Universiteit Brussel. This research is supported by means of a Feodor Lynen fellowship granted by the Humboldt foundation.
List of Publications
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, https://doi.org/10.1112/blms.12621, 2022.
Carsten Dietzel, Paula Menchón, Leandro Vendramin. On the enumeration of finite L-algebras. Mathematics of Computation 92, 1363-1381, 2023.
Accepted for publication
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Preprints
Carsten Dietzel, Raul Sastriques Guardiola. Indecomposable set-theoretical solutions to the Yang-Baxter equation on a set of size pq, 2023.
Carsten Dietzel. Decomposition and Structure theorems for Garside-like groups with modular lattice structure, 2023.
Carsten Dietzel, Silvia Properzi, Senne Trappeniers. Indecomposable set-theoretical solutions to the Yang-Baxter equation of size p² , 2024.
Doctoral Thesis
Carsten Dietzel. Desarguesian and geometric right l-groups. 2021.
personal Homepages
Links
Alexander von Humboldt Foundation
Project Euler - Several challenges in mathematical programming