I am a Heilbronn Research Fellow at the University of Manchester. Broadly, I study group theory.
I am currently interested in local group theory, specifically through the lens of saturated fusion systems over p-groups and their interactions with group amalgams. In fusion systems, my current research focuses on recognizing the p-fusion categories of simple groups of Lie type from prescribed local actions.
Alongside this, I am interested in exotic fusion systems at odd primes, and the applications of fusion systems to representation theory and homotopy theory.
A PDF copy of my CV is here .
PhD in Pure Mathematics, 2022
University of Birmingham
MASt in Mathematical Sciences, 2017
University of Warwick
BSc in Mathematics, 2016
University of Glasgow
van Beek, M. (2024). Saturated Fusion Systems on Sylow $p$-subgroups of Rank $2$ Simple Groups of Lie Type. Forum of Mathematics, Sigma.
van Beek, M. (2023). Fusion Systems on a Sylow $p$-subgroup of $G_2(p^n)$ or $PSU_4(p^n)$. Journal of Algebra.
In February 2024, I taught a short postgraduate course titled “Topics in Finite $p$-groups.” Here are the notes and problem sheets:
Any suggestions or corrections would be greatly appreciated!