Books/Monographs

• van Beek, M. Rank 2 Amalgams and Fusion Systems. Lecture Notes in Mathematics. (2024).

Published Papers

• van Beek, M. Saturated Fusion Systems on Sylow $p$-subgroups of Rank $2$ Simple Groups of Lie Type. Forum of Mathematics, Sigma. (2024).

• van Beek, M. Fusion Systems on a Sylow $p$-subgroup of $G_2(p^n)$ or $PS{U}_4(p^n)$. Journal of Algebra. (2023).

Submitted Papers

• Grazian, V. & Parker, C. & Semeraro, J. & van Beek, M. Fusion systems related to polynomial representations of ${\mathrm{SL}}_2(q)$. (2025).

• Parker, C. & van Beek, M. Lifting Polynomial Representations of ${\mathrm{SL}}_2(p^r)$ from ${\mathbb{F}}_p$ to $\mathbb{Z}/p^s\mathbb{Z}$. (2024).

• van Beek, M. Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups. (2024).

• van Beek, M. Exotic Fusion Systems Related to Sporadic Simple Groups. (2022).

In February 2024, I taught a short postgraduate course titled “Topics in Finite $p$-groups.” Here are the notes and problem sheets:

Lecture Notes

Problem Sheet 1

Problem Sheet 2

Problem Sheet 3

Problem Sheet 4

Any suggestions or corrections would be greatly appreciated!