I am postdoctoral fellow at Vrije Universiteit Brussel, working in VUB Algebra Research Group. My research is supported by Polish National Agency for Academic Exchange via the Bekker NAWA programme. I was an assistant (asystent naukowo-dydaktyczny) at the University of Warsaw. From 01.2022 to 08.2024 I was also a principal investigator in NCN project "Combinatorics and structure of Hecke-Kiselman algebras".

My research interests lie mainly in algebraic structures related to set-theoretic solutions of the Yang-Baxter equation, non-commutative rings and semigroup theory.

1. J. Okniński, M. Wiertel. Combinatorics and structure of Hecke-Kiselman algebras, Communications in Contemporary Mathematics, vol.22, No.07, 2050022 (2020) journal, arXiv

2. J. Okniński, M. Wiertel. On the radical of a Hecke-Kiselman algebra, Algebr. Represent. Theory, 24, 1431–1440 (2021) journal

3. M. Wiertel. Irreducible representations of Hecke–Kiselman monoids, Linear Algebra and its Applications, 640, 12-33 (2022) journal, arXiv

4. M. Wiertel. The Gelfand-Kirillov dimension of the Hecke-Kiselman algebras, Forum Mathematicum, vol. 35, no. 2, 523-534 (2023) journal, arXiv

5. M. Wiertel. Identities of Hecke–Kiselman monoids, Semigroup Forum, vol. 109, 457–466 (2024) journal

Structure and representations of Hecke-Kiselman algebras associated to oriented graphs, supervised by Jan Okniński, University of Warsaw (2023) link