Research Interests
$\bullet$ Geometric group theory
Current Cluster Publications of Dr. Benjamin Brück
$\bullet $ Benjamin Brück, Sam Hughes, Dawid Kielak, and Piotr Mizerka. Non-vanishing unitary cohomology of low-rank integral special linear groups. arXiv e-prints, October 2024. arXiv:2410.22310.
$\bullet $ Benjamin Brück and Kevin Ivan Piterman. Connectivity of partial basis complexes of freely decomposable groups. arXiv e-prints, October 2024. arXiv:2410.17121.
$\bullet $ Benjamin Brück, Kevin I Piterman, and Volkmar Welker. The Common Basis Complex and the Partial Decomposition Poset. International Mathematics Research Notices, August 2024. doi:10.1093/imrn/rnae177.
$\bullet $ Benjamin Brück, Jeremy Miller, Peter Patzt, Robin J. Sroka, and Jennifer C.H. Wilson. On the codimension-two cohomology of $SL_n(Z)$. Advances in Mathematics, 451:109795, August 2024. doi:10.1016/j.aim.2024.109795.
$\bullet $ Benjamin Brück, Yuri Santos Rego, and Robin Sroka. On the top-dimensional cohomology of arithmetic Chevalley groups. Proceedings of the American Mathematical Society, August 2024. doi:10.1090/proc/16948.
$\bullet $ Benjamin Brück and Robin J. Sroka. Apartment Classes of Integral Symplectic Groups. Journal of Topology and Analysis, June 2024. doi:10.1142/s1793525324500286.
$\bullet $ Benjamin Brück. (non-)Vanishing of high-dimensional group cohomology. arXiv e-prints, April 2024. arXiv:2404.15026.
$\bullet $ Benjamin Brück, Francesco Fournier-Facio, and Clara Löh. Median quasimorphisms on $\rm CAT $$(0)$ cube complexes and their cup products. Geometriae Dedicata, 218(28):1–33, January 2024. doi:10.1007/s10711-023-00870-3.
$\bullet $ Benjamin Brück and Zachary Himes. Top-degree rational cohomology in the symplectic group of a number ring. arXiv e-prints, September 2023. arXiv:2309.05456.
$\bullet $ Michael Borinsky, Benjamin Brück, and Thomas Willwacher. Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group. arXiv e-prints, August 2023. arXiv:2308.16845.
$\bullet $ Richard D. Wade and Benjamin Brück. A note on virtual duality and automorphism groups of right-angled Artin groups. Glasgow Mathematical Journal, 65(3):573–581, June 2023. doi:10.1017/s0017089523000149.