Research Interests
$\bullet$ Geometric group theory
• Brück, Benjamin; Miller, Jeremy; Patzt, Peter; Sroka, Robin J.; Wilson, Jennifer C. H. On the codimension-two cohomology of SL_n(Z). Advances in Mathematics Vol. 451, 2024 online
• Brück, Benjamin; Piterman, Kevin I.; Welker, Volkmar The common basis complex and the partial decomposition poset. International Mathematics Research Notices Vol. 2024 (18), 2024 online
• Brück, Benjamin; Santos Rego, Yuri; Sroka, Robin J. On the top-dimensional cohomology of arithmetic Chevalley groups. Proceedings of the American Mathematical Society Vol. 152 (10), 2024 online
• Brück, Benjamin; Hughes, Sam; Kielak, Dawid; Mizerka, Piotr Non-vanishing unitary cohomology of low-rank integral special linear groups. , 2024 online
• Brück, Benjamin; Patzt, Peter; Sroka, Robin J. A presentation of symplectic Steinberg modules and cohomology of Sp_2n(Z). , 2023 online
• Borinsky, Michael; Brück, Benjamin; Willwacher, Thomas Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group. Selecta Mathematica (New Series), 2023 online
• Brück, Benjamin Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs). Journal of the London Mathematical Society Vol. 105 (1), 2022 online
• Brück, Benjamin; Gupta, Radhika Homotopy type of the complex of free factors of a free group. Proceedings of the London Mathematical Society Vol. 121 (6), 2020, pp 1737-1765 online
• Brück, Benjamin; Garin, Adélie Stratifying the space of barcodes using Coxeter complexes. Journal of Applied and Computational Topology Vol. 7, 2023 online
• Heydenreich, Sven; Brück, Benjamin; Harnois-Déraps, Joachim Persistent homology in cosmic shear: Constraining parameters with topological data analysis. Astronomy and Astrophysics Vol. 648, 2021, pp A74 online
Recent Publications of Dr. Benjamin Brück
$\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, 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, 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, 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, Yuri Santos Rego, and Robin J. 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 $$(0)$ cube complexes and their cup products. Geometriae Dedicata, 218(28):1–33, January 2024. doi:10.1007/s10711-023-00870-3.
$\bullet $ Benjamin Brück and Zachary Himes. Top-degree rational cohomology in the symplectic group of a number ring. arXiv e-prints, September 2023. arXiv:2309.05456.
$\bullet $ Michael Borinsky, Benjamin Brück, and Thomas Willwacher. Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group. arXiv e-prints, August 2023. arXiv:2308.16845.
$\bullet $ Richard D. Wade and Benjamin Brück. A note on virtual duality and automorphism groups of right-angled Artin groups. Glasgow Mathematical Journal, 65(3):573–581, June 2023. doi:10.1017/s0017089523000149.
$\bullet $ Benjamin Brück, Peter Patzt, and Robin J. Sroka. A presentation of symplectic Steinberg modules and cohomology of $Sp_2$$_n$$(\mathbb Z )$. arXiv e-prints, June 2023. arXiv:2306.03180.