Dr. Benjamin Brück

Dr. Benjamin Brück

Einsteinstr. 62, room 812
48149 Münster

Academic Profiles

  • Research Areas

    Geometric group theory

    Groups, which are algebraic structures used for describing symmetries, play a central role in my work. The tools I use for studying these often involve topology, but also include methods from combinatorics, probability theory and logic.

  • CV

    Education

    PhD in mathematics, Bielefeld University
    Master in mathematics, University of Münster
    Bachelor in mathematics, University of Münster

    Positions

    Akademischer Rat auf Zeit (advanced postdoc position), University of Münster
    Wissenschaftlicher Mitarbeiter (Postdoc), University of Münster
    Hermann-Weyl-Instructor, ETH Zürich
    Postdoctoral researcher, University of Copenhagen

    External Function

    Mathematics Münster (Young Research Group - "High-dimensional cohomology of arithmetic groups", Investigator)

  • Publications

    Research Articles in Digital Collections

    • Brück, Benjamin; Piterman, Kevin I.; Welker, Volkmar. The common basis complex and the partial decomposition poset. arXiv, . doi: 10.48550/arXiv.2402.10484. [submitted / under review]
    • Benjamin Brück. (Non-)Vanishing of high-dimensional group cohomology. arXiv, . doi: 10.48550/arXiv.2404.15026. [submitted / under review]
    • Brück, Benjamin; Himes, Zachary. Top-degree rational cohomology in the symplectic group of a number ring. arXiv, . doi: 10.48550/arXiv.2309.05456. [submitted / under review]
    • Borinsky, Michael; Brück, Benjamin; Willwacher, Thomas. Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group. arXiv, . doi: 10.48550/arXiv.2308.16845. [submitted / under review]
    • Brück, Benjamin; Patzt, Peter; Sroka, Robin J. A presentation of symplectic Steinberg modules and cohomology of Sp_2n(Z). arXiv, . doi: 10.48550/arXiv.2306.03180. [submitted / under review]
    • Brück, Benjamin; Miller, Jeremy; Patzt, Peter; Sroka, Robin J.; Wilson, Jennifer C. H. On the codimension-two cohomology of SL_n(Z). arXiv, . doi: 10.48550/arXiv.2204.11967. [submitted / under review]

    Research Articles (Journals)

    • Brück, Benjamin; Fournier-Facio, Francesco; Loeh, Clara. “Median quasimorphisms on CAT(0) cube complexes and their cup products.” Geometriae Dedicata 218 (): 28. doi: 10.1007/s10711-023-00870-3.
    • Brück, Benjamin; Santos Rego, Yuri; Sroka, Robin J. “On the top-dimensional cohomology of arithmetic Chevalley groups.” Proceedings of the American Mathematical Society (): 2210.12784. doi: 10.48550/arXiv.2210.12784. [accepted / in Press (not yet published)]
    • Wade, Richard D.; Brück, Benjamin. “A note on virtual duality and automorphism groups of right-angled Artin groups.” Glasgow Mathematical Journal 65, No. 3 (): 573 –581. doi: 10.1017/s0017089523000149.
    • Brück, Benjamin; Garin, Adélie. “Stratifying the space of barcodes using Coxeter complexes.” Journal of Applied and Computational Topology 7 (): 369–395. doi: 10.1007/s41468-022-00104-7.
    • Brück, Benjamin; Sroka, Robin J. “Apartment classes of integral symplectic groups.” Journal of Topology and Analysis (): 2305.17697. doi: 10.48550/arXiv.2305.17697. [accepted / in Press (not yet published)]
    • Brück, Benjamin. “Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs).” Journal of the London Mathematical Society 105, No. 1 (): 251–307. doi: 10.1112/jlms.12511.
    • Brück, Benjamin; Röttger, Frank. “A Central Limit Theorem for the Two-Sided Descent Statistic on Coxeter Groups.” Electronic Journal of Combinatorics 29, No. 1 (): P1.1. doi: 10.37236/10744.
    • Heydenreich, Sven; Brück, Benjamin; Burger, Pierre; Harnois-Déraps, Joachim; Unruh, Sandra; Castro, Tiago; Dolag, Klaus; Martinet, Nicolas. “Persistent homology in cosmic shear II. A tomographic analysis of DES-Y1.” Astronomy and Astrophysics 667 (): A125. doi: 10.1051/0004-6361/202243868.
    • Heydenreich, Sven; Brück, Benjamin; Harnois-Déraps, Joachim. “Persistent homology in cosmic shear: Constraining parameters with topological data analysis.” Astronomy and Astrophysics 648 (): A74. doi: 10.1051/0004-6361/202039048.
    • Brück, Benjamin; Kielak, Dawid; Wu, Xiaolei. “The Farrell–Jones conjecture for normally poly-free groups.” Proceedings of the American Mathematical Society 149 (): 2349–2356. doi: 10.1090/proc/15357.
    • Brück, Benjamin. “Higher generating subgroups and Cohen–Macaulay complexes.” Proceedings of the Edinburgh Mathematical Society 63, No. 1 (): 275–285. doi: 10.1017/S0013091519000415.
    • Brück, Benjamin; Gupta, Radhika. “Homotopy type of the complex of free factors of a free group.” Proceedings of the London Mathematical Society 121, No. 6 (): 1737–1765. doi: 10.1112/plms.12381.
    • Brück, Benjamin. “Maximal hyperbolic towers and weight in the theory of free groups.” Mathematical Proceedings 170, No. 3 (): 479–498. doi: 10.1017/S0305004119000483.

    Theses (Doctoral or Postdoctoral)

    Other Non-Scientific Publications

    • Hunger, Uwe (Hrsg.); Krannich, Sascha (Hrsg.); Brück, Benjamin; Guilliard, Simon; Jaculi, Linda; Krekel, Julia; Mieger, Hannah; Neumann, Insa; Pham, Y Lan; Polovnikov, Borislav; Pretzsch, Rebecca; Rollfing, Petra; Schüler, Theresa; Stumptner, Quincey; Wagner, Julia; Wollweber, Benjamin; Sadjadi, Mahan. Über Brücken und Grenzen entlang der Donau. readbox unipress, .

  • Code

    In addition to my publications above, my Github Page contains publicly available code that I used in research projects.

  • Young Research Group

    Robin J. Sroka and I form the Young Research Group  "High-dimensional cohomology of arithmetic groups" at the Cluster of Excellence Mathematics Münster.