Patrick Wegener
E-Mail:
patrick.wegener [at] math [dot] uni-hannover [dot] de
About me
I am a mathematician who obtained his PhD in 2017 at Bielefeld University under the supervision of Barbara Baumeister.
From 2017 to 2020 I was a Postdoc in the working group of Gunter Malle at TU Kaiserslautern. From 2020 to 2025 I was a Postdoc in the Institute of Algebra, Number Theory and Discrete Mathematics at Leibniz University Hannover
My main research interest are Coxeter groups and problems related to these groups.
Research interests
- Coxeter groups
- Elliptic Weyl groups
- (Algebraic) Combinatorics
Publications
Links refer to the published version if it is open-access. Otherwise it refers to the arxiv-version.
Published- (with B. Baumeister, M. Dyer, C. Stump) A note on the transitive Hurwitz action on decompositions of parabolic Coxeter elements, Proc. Amer. Math. Soc. Ser. B 1 (2014), 149-154.
- (with B. Baumeister, T. Gobet, K. Roberts) On the Hurwitz action in finite Coxeter groups, J. Group Theory 20 (2017), 103-131.
- (with B. Baumeister) A note on Weyl groups and root lattices, Arch. Math. 111 (2018), 469-477.
- On the Hurwitz action in affine Coxeter groups, J. Pure Appl. Algebra 224 (2020), no. 7.
- (with S. Yahiatene) A note on non-reduced reflection factorizations of Coxeter elements, Algebr. Comb. 3 (2020), 465-469.
- (with R. Hollenbach) The centralizer of a Coxeter element, Bull. London Math. Soc. 54 (2022), no. 2.
- (with S. Yahiatene) Reflection factorizations and quasi-Coxeter elements, J. Comb. Algebra 7 (2023), 127-157.
- Reflection groups and quiver mutation: Diagrammatics, Electron. J. Comb. 32 (2025), P2.10
- (with B. Baumeister, S. Yahiatene) Extended Weyl groups, Hurwitz transitivity and weighted projective lines I: Generalities and the tubular case
- (with B. Baumeister, S. Yahiatene) Extended Weyl groups, Hurwitz transitivity and weighted projective lines II: The wild case
- (with B. Baumeister) Elliptic Weyl groups and Hurwitz transitivity
Teaching
- I gave a lecture on Complex Analysis in Kaiserslautern in 2018. See my lecture notes.
- I gave a lecture on Discrete Mathematics in Hannover in 2023. I was following the very good lecture notes of Benjamin Sambale.
- I gave a seminar on Cluster Algebras for graduate and undergraduate students (Kaiserslautern, 2018).
- In Hannover from 2020 to 2025 I was the assistant for the math lectures for computer science as well as for biology.