Robin J. Sroka

I am a Postdoctoral Research Associate at the University of Münster working in the research areas ``Arithmetic and Groups'' and ``Spaces and Operators''. I am an investigator at the Cluster of Excellence ``Mathematics Münster'' and a member of the Collaborative Research Centre ``Geometry: Deformations and Rigidity''.

From September 2021 to August 2023, I was a Postdoctoral Fellow in the ``Geometry & Topology'' group at McMaster University working under the mentorship of Ian Hambleton. From January to April 2022, I participated in the research program ``Higher algebraic structures in algebra, topology and geometry'' at Institut Mittag-Leffler as a Junior Fellow. In September 2021, I completed my PhD studies at the University of Copenhagen under the supervision of Nathalie Wahl.

Contact

Mathematisches Institut
Universität Münster
Einsteinstrasse 62
48149 Münster, Germany

Office 513

robinjsroka[at]uni-muenster.de

Research

I am interested in algebraic topology, geometric group theory, and geometric topology as well as connections to number theory and dynamics.

My PhD thesis, ``Patterns in the homology of algebras: Vanishing, stability, and higher structures'', is available here.

My co-author Benjamin Brück and I form the Young Research Group ``High-dimensional cohomology of arithmetic groups'' at the Cluster of Excellence ``Mathematics Münster''.

Activities & Organization

• I am co-organizing the Oberseminar Topologie together with Michael Joachim during the Winter Term 2024.
• I am participating in a Learning seminar on topological and measurable full groups during the Winter Term 2024.

Publications & Preprints

1. Scissors automorphism groups and their homology.
   ‣ with Alexander Kupers, Ezekiel Lemann, Cary Malkiewich, and Jeremy Miller.
   ‣ arXiv, Aug 2024.
2. Partial bases and homological stability of GL_n(R) revisited.
   ‣ with Calista Bernard and Jeremy Miller.
   ‣ arXiv, May 2024.
3. Simplicial bounded cohomology and stability.
   ‣ with Thorben Kastenholz.
   ‣ arXiv, Sep 2023.
4. A presentation of symplectic Steinberg modules and cohomology of Sp_2n(ℤ).
   ‣ with Benjamin Brück and Peter Patzt.
   ‣ arXiv, Jun 2023.
5. Apartment classes of integral symplectic groups.
   ‣ with Benjamin Brück.
   ‣ Published in Journal of Topology and Analysis.
   ‣ arXiv, May 2023. Journal, Dec 2024.
6. On the top-dimensional cohomology of arithmetic Chevalley groups.
   ‣ with Benjamin Brück and Yuri Santos Rego.
   ‣ Published in Proceedings of the American Mathematical Society.
   ‣ arXiv, Oct 2022. Journal, Aug 2024.
7. On the codimension-two cohomology of SL_n(ℤ).
   ‣ with Benjamin Brück, Jeremy Miller, Peter Patzt and Jennifer C. H. Wilson.
   ‣ Published in Advances in Mathematics.
   ‣ arXiv, Apr 2022. Journal, Jun 2024.
8. The homology of a Temperley-Lieb algebra on an odd number of strands.
   ‣ Published in Algebraic & Geometric Topology.
   ‣ arXiv, Feb 2022. Journal, Oct 2024.

Talks & Travel

• TBA.
  ‣ (planned for) Jan 30, 2025. Après-midi de topologie, Université Paris Cité.
• K-theory, scissors congruence and dynamics.
  ‣ (planned for) Jan 7, 2025. Oberseminar C*-Algebren, Universität Münster.
• K-theory, scissors congruence and dynamics.
  ‣ Nov 28, 2024. Analysis Seminar, University of Glasgow.
• Scissors automorphism groups and their homology.
  ‣ Nov 27, 2024. Differential Geometry & Topology Seminar, University of Cambridge.
• Homological stability: From algebraic K-theory to bounded cohomology, scissors congruence and dynamics.
  ‣ Jul 23, 2024. Geometry and Topology Seminar, McMaster University.
• Scissors automorphism groups and their homology.
  ‣ Jul 9, 2024. ``Scissors congruences, algebraic K-theory and Steinberg modules'', American Institute of Mathematics.
• Homological stability and K-theory.
  ‣ Jun 14, 2024. Oberseminar Algebra und Geometrie, Heinrich Heine University Düsseldorf.
• Homological stability and K-theory.
  ‣ Jun 13, 2024. Wilhelm Killing Kolloquium: Postdocs of Mathematics Münster, University of Münster.
• High-dimensional rational cohomology of arithmetric groups I & II.
  ‣ May 28 and Jun 4, 2024. Mittagsseminar zur Arithmetik, University of Münster.
  ‣ with Benjamin Brück.
• Homological stability, K-theory and topological full groups: On recent work of Xin Li.
  ‣ May 27, 2024. Expository talk, Kleines Seminar, University of Münster.
• High-dimensional cohomology of arithmetic Chevalley groups.
  ‣ Mar 25, 2024. Poster at ``Mathematics Münster Mid-term Conference'', University of Münster.
  ‣ with Benjamin Brück.
• Simplicial bounded cohomology and stability.
  ‣ Feb 8, 2024. AG Algebraic and Geometric Topology, Karlsruhe Institute of Technology.
• Steinberg modules and (co-)homology of arithmetic groups.
  ‣ Jan 16, 2024. Topological Activities, Stockholm University.
• Simplicial bounded cohomology and stability.
  ‣ Dec 11, 2023. IYSBC-SV Seminar (online).
• Steinberg modules and high-dimensional rational cohomology of symplectic groups.
  ‣ Nov 8, 2023. Algebra and Number Theory Seminar, University of Glasgow.
• Steinberg modules and high-dimensional rational cohomology of symplectic groups.
  ‣ Oct 25, 2023. Oberseminar Topologie, University of Münster.
• Simplicial bounded cohomology and stability.
  ‣ Jul 20, 2023. ``Stability in Topology, Arithmetic, and Representation Theory 2023'', Purdue University.
• On the high-dimensional rational cohomology of arithmetic Chevalley groups.
  ‣ Apr 13, 2023. Topology Seminar, University of Michigan.
• On the high-dimensional rational cohomology of arithmetic Chevalley groups.
  ‣ Dec 19, 2022. COGENT Seminar (online).
• On the high-dimensional rational cohomology of arithmetic Chevalley groups.
  ‣ Dec 5, 2022. Topology Seminar (online), University of Minnesota.
• Partial bases and homological stability for general linear groups revisited.
  ‣ Oct 12, 2022. Purdue Topology Seminar, Purdue University.
• The homology of a Temperley-Lieb algebra on an odd number of strands.
  ‣ Mar 23, 2022. IMUNAM Algebraic Topology Seminar (online), National Autonomous University of Mexico.
• On the high-dimensional rational cohomology of special linear groups.
  ‣ Jan 21, 2022. ``Higher algebraic structures in algebra, topology and geometry'', Institut Mittag-Leffler.
• Patterns in the homology of Iwahori-Hecke algebras.
  ‣ Dec 14, 2021. Geometry and Topology Seminar, McMaster University.
• On the high-dimensional rational cohomology of special linear groups.
  ‣ Nov 1, 2021. Geometry & Topology Seminar, University of Toronto.
• On the high-dimensional rational cohomology of symplectic groups.
  ‣ Jul 1, 2021. ``High dimensional cohomology of moduli spaces'', University of Copenhagen.
• Algebraic analogues of coset posets and the low dimensional homology of Iwahori-Hecke algebras.
  ‣ Aug 21, 2020. ``Simplicial complexes workshop'', University of Copenhagen.

Dec 16, 2024