I am a post-doctoral researcher in Algebra at the department of Mathematics: Algebra and Geometry, Universiteit Gent in the group of Tom De Medts. My current research focuses on set-theoretic solutions of the Yang-Baxter equation and relating their properties to groups, rings and a recently introduced notion called skew braces. Vice versa, I employ set-theoretic solutions of the Yang-Baxter equation to construct exciting groups and rings, containing polycyclic groups, RAAG’s, quadratic algebras and Jacobson radical rings.

Interests

- Set-theoretic solutions of the Yang-Baxter equation
- Skew left braces and generalizations
- Quadratic algebras
- Set-theoretic solutions of the Pentagon equation

Education

PhD in Mathematics, 2020

Vrije Universiteit Brussel

MSc in Mathematics, Fundamental Mathematics, 2016

Universiteit Antwerpen

BSc in Mathematics, 2014

Universiteit Antwerpen

Post-doctoral Assistant

Responsibilities include:

- Lecturing
- Mentoring students
- Research

Post-doctoral fellow

PhD fellow

Quickly discover relevant content by filtering publications.

Finite idempotent set-theoretic solutions of the Yang--Baxter equation.
*International Mathematics Research Notices*.

(2024).
Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation.
*Commun. Contemp. Math.*.

(2023).
(2023).
(2023).
- arne.vanantwerpen@ugent.be
- Krijgslaan 281, Building S25, Gent, 9000