Senne Trappeniers
PhD Student
PhD Student
Hi! I am currently a PhD student in Mathematics at the Vrije Universiteit Brussel. My supervisors are Leandro Vendramin and Arne Van Antwerpen. I am part of the Algebra Research group of the VUB.
My research focuses on skew braces, novel algebraic structures introduced by L. Guarnieri and L. Vendramin, which generalise braces, as introduced by W. Rump. I work on purely skew brace theoretic questions, but also on their connection with set-theoretic solutions of the Yang-Baxter equation and Hopf-Galois structures.
My email is senne.trappeniers@vub.be and you can find my CV here.
Studying solutions of the Yang-Baxter equation through skew braces, with an application to indecomposable involutive solutions with abelian permutation group (with M. Castelli) (2023)
A Lazard correspondence between post-Lie algebras and skew braces (2024)
On bi-skew braces and brace blocks (with L. Stefanello), J. Pure Appl. Algebra 227 (2023), no. 5, 107295 (arXiv version)
On the connection between Hopf-Galois structures and skew braces (with L. Stefanello), Bull. London Math. Soc. (2023) (arXiv version)
On two-sided skew braces, J. Algebra 631 (2023) 267-286 (arXiv version)
Indecomposable involutive set-theoretical solutions to the Yang-Baxter equation of size p² (with C. Dietzel & S. Properzi), Comm. Algebra (2024) (arXiv version)
Studying solutions to the Yang-Baxter equation through skew braces, Oberwolfach mini-workshop: Skew braces and the Yang-Baxter equation, March 2 2023
Two-sided skew braces: a stepping stone between rings and skew braces?, InformAlgebra, Università Del Salento, February 9 2023
Introductory lecture to skew braces, Algebra Lecture Series, MSU-Iligan Institue of Technology, Octobre 5 2022
Two-sided skew braces, The algebra of the Yang-Baxter equation, Będlewo, Poland, July 11 2022
Bi-skew braces and brace blocks, Hopf Algebras and Galois Module Theory, University of Nebraska Omaha, USA, May 31 2022
Skew braces & the Yang–Baxter equation, Algebra Seminar, Vrije Universiteit Brussel, Belgium, November 25 2020