Jun.-Prof. Dr. Holger Kammeyer Mathematical Institute Heinrich Heine University Düsseldorf Universitätsstraße 1 40225 Düsseldorf, Germany building: 25.22, office: 03.48 phone: +49 211 81 14490 email: holger.kammeyer@hhu.de administration: Sabine May |
I am assistant professor for "algebra and geometry" at the Mathematical Institute of Heinrich Heine University Düsseldorf in the algebra and number theory group. My research interests range around profinite and arithmetic groups, ℓ²-invariants, and algebraic topology. I am PI within the Priority Program 2026 "Geometry at Infinity" and the RTG 2240 "Algebro-Geometric Methods in Algebra, Arithmetic and Topology". For inquiries from the nearby schools, please refer to Angebote für Schüler*innen (in German) and feel free to contact me for any questions.
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Title | Coauthors | Year |
On the Euler characteristic of S-arithmetic groups | G. Serafini | 2024 |
Title | Coauthors | Journal/Series |
Gassmann triples with special cycle types and applications | S. Kionke | Proceedings of the Edinburgh Mathematical Society, First View (2024), pp. 1-10 |
Galois cohomology and profinitely solitary Chevalley groups | R. Spitler | Mathematische Annalen, 390 (2024), no. 2, 2497-2511 |
Bounded cohomology is not a profinite invariant | D. Echtler | Canadian Mathematical Bulletin, 67-2 (2024), 379-390 |
On absolutely profinitely solitary lattices in higher rank Lie groups | Proceedings of the American Mathematical Society, 151 (2023), 1801-1809 | |
On the profinite rigidity of lattices in higher rank Lie groups | S. Kionke | Mathematical Proceedings of the Cambridge Philosophical Society, 174-2 (2023), 369-384 |
ℓ²-Betti numbers | In "Bounded Cohomology and Simplicial Volume", LMS Lecture Notes Series 479 (2023), 57-62 | |
Introduction to Algebraic Topology | Birkhäuser Compact Textbooks in Mathematics (2022), xi, 172 pp | |
Adelic superrigidity and profinitely solitary lattices | S. Kionke | Pacific Journal of Mathematics, 313-1 (2021), 137-158 |
Products of free groups in Lie groups | C. Campagnolo | Journal of Algebra, Volume 579, (2021), 237-255 |
Profinite commensurability of S-arithmetic groups | Acta Arithmetica, 197.3 (2021), 311-330 | |
Profinite invariants of arithmetic groups | S. Kionke, J. Raimbault, R. Sauer | Forum of Mathematics, Sigma, Vol. 8, (2020), 1-22 |
S-arithmetic spinor groups with the same finite quotients and distinct ℓ²-cohomology | R. Sauer | Groups, Geometry, and Dynamics, 14 (2020), no. 3, 857-869 |
Introduction to ℓ²-invariants | Springer Lecture Notes in Mathematics, Vol. 2247 (2019), viii+181 pp | |
The shrinkage type of knots | Bulletin of the London Mathematical Society, 49-3 (2017), 428-442 | |
Approximating Novikov-Shubin numbers of virtually cyclic coverings | Groups, Geometry, and Dynamics, 11-4 (2017), 1231-1251 | |
The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups | W. Lück, H. Rüping | Geometry & Topology, 20-3 (2016), 1275-1287 |
ℓ²-invariants of nonuniform lattices in semisimple Lie groups | Algebraic & Geometric Topology, 14 (2014), 2475-2509 | |
An explicit rational structure for real semisimple Lie algebras | Journal of Lie Theory, 24, No. 2 (2014), 307-319 | |
The Heston-Hull-White Model III: Design and Implementation | J. Kienitz | Wilmott Magazine, Issues 59, (May 2012), 44-49 |
The Heston-Hull-White Model II: Numerics and Examples | J. Kienitz | Wilmott Magazine, Issues 58, (March 2012), 34-45 |
The Heston-Hull-White Model I: Finance and Analytics | J. Kienitz | Wilmott Magazine, Issues 57, (Jan 2012), 46-53 |
Title | Type | University |
ℓ²-invariants of nonuniform lattices in semisimple Lie groups | doctoral thesis | University of Göttingen |
On exotic manifolds | diploma thesis | University of Göttingen |
Title | Year |
Halbeinfache Lie-Algebren (Semisimple Lie algebras), 66 MB | 2024 |
ℓ²-Invarianten (ℓ²-invariants), 49 MB | 2024 |
Einführung in die Topologie (Introduction to topology), 94 MB | 2022 |
Topologie 1 (Topology 1), 90 MB | 2023 |
Topologie 2 (Topology 2), 83 MB | 2023 |
From Betti numbers to ℓ²-Betti numbers (with R. Sauer) Snapshots of modern mathematics from Oberwolfach, (2020.01), 1-11 | 2020 |
Slides: Faire und unfaire Preise für Finanzderivate | 2024 |
Slides: Die Konstruktion des regelmäßigen 65.537-Ecks mit Zirkel und Lineal | 2019 |
Title | Year | Venue | Coorganized with |
RTG summer school: "Analytic and arithmetic groups" | 2024 | HHU Düsseldorf | B. Klopsch |
Felix Klein Colloquium | 2024 | HHU Düsseldorf | I. Halupczok, B. Klopsch |
Conference: Arithmetic Groups and 3-manifolds | 2022 | MPIM Bonn | S. Kionke, A. Reid, H. Sengun |
Conference: Arithmetic Groups and 3-manifolds | 2020 | University of Hagen | S. Kionke, H. Sengun |
Workshop: Current developments around the Atiyah conjecture | 2018 | KIT Karlsruhe | B. Waßermann |
Workshop: New directions in ℓ²-invariants | 2016 | HIM Bonn | A. Kar, S. Kionke, J. Raimbault |
Title | Type | Student |
Satake and Vogan diagrams of real simple Lie algebras | Bachelor thesis | Marek Kasper |
Model structures on different categories | Bachelor thesis | Daniel Dratschuk |
Implementation of an Algorithm to Compute the Integral Homology of Δ-Complexes | Bachelor thesis | Mohamed Winkelmann |
The Lefschetz fixed point theorem: from simplicial to CW complexes | Master thesis | Gotami Heller |
Homologies and elations in the projective and Euclidean plane | Bachelor thesis | Cédric Dujardin |
ℓ²-Betti numbers and profinite completions of groups | Master thesis | Nico Stucki |
Construction of Thom spectra for bordism with G-structure | Bachelor thesis | Amelie Flatt |
Since August 2021 | "Juniorprofessor" (assistant professor) for "algebra and geometry" at Mathematical Institute | Heinrich Heine University Düsseldorf |
November 2017 - July 2021 | "Akademischer Rat auf Zeit" (lecturer) at Institute for Algebra and Geometry |
Karlsruhe Institute of Technology |
April 2015 - October 2017 | Postdoc at Institute for Algebra and Geometry (working with Roman Sauer) |
Karlsruhe Institute of Technology |
July 2013 - March 2015 | Postdoc at Mathematical Institute (working with Wolfgang Lück) |
University of Bonn |
July 2010 - May 2013 | Doctoral studies at Mathematical Institute (working with Thomas Schick) |
University of Göttingen |
August 2009 - June 2010 | Fulbright scholar at Department of Mathematics | University of California Berkeley |
October 2004 - July 2009 | Diploma studies in mathematics with minor theoretical physics | University of Göttingen |