Markus Hausmann

Professor
Mathematisches Institut
Universität Bonn
Endenicher Allee 60, 53115 Bonn
Email: hausmann @ math.uni-bonn.de

Member of the Bonn Topology group.

Research interests: algebraic topology; focus on (equivariant) stable homotopy theory, tensor-triangular geometry and geometric group theory.

[Google scholar profile]
[MathSciNet profile]
[arXiv profile]

Teaching WS 2034/24 :
Algebraic Topology 1, Monday + Friday 14:15-16:00, Kleiner Hörsaal: Serre spectral sequence, characteristic classes, bordism theory. [Course homepage]
Hauptseminar (S2D3/S4D2) "Group cohomology", Tuesday 14:15-16:00, N000.7. [seminar program]

Publications:

• Invariant prime ideals in equivariant Lazard rings (with Lennart Meier), Preprint
• Global group laws and equivariant bordism rings, Annals of Mathematics, Vol. 195, Issue 3 (2022), p. 841-910. [journal link]
• Proper equivariant stable homotopy theory (with Dieter Degrijse, Wolfgang Lück, Irakli Patchkoria and Stefan Schwede), Memoirs of the American Mathematical Society, Vol. 288 (2023), No. 1432, vi+142 pp. [journal link]
• On the Balmer spectrum for compact Lie groups (with Tobias Barthel and John Greenlees), Compositio Mathematica, Vol. 156, Issue 1 (2020), p. 39-76. [journal link]
• Commuting matrices and Atiyah's Real K-theory (with Simon Gritschacher), Journal of Topology, Vol. 12, Issue 3 (2019), p. 832-853. [journal link]
• The Balmer spectrum of the equivariant homotopy category of a finite abelian group. (with Tobias Barthel, Niko Naumann, Thomas Nikolaus, Justin Noel and Nat Stapleton), Inventiones Mathematicae, Vol. 216, Issue 1 (2019), p. 215-240. [journal link]
• Symmetric products and subgroup lattices, Geometry & Topology 22-3 (2018), p. 1547-1591. [journal link]
• Filtrations of global equivariant K-theory (with Dominik Ostermayr), Mathematische Zeitschrift , Vol. 295 (2020), p. 161-210. [journal link]
• Symmetric spectra model global equivariant homotopy theory, Algebraic & Geometric Topology 19-3 (2019), p. 1413-1452. [journal link]
• G-symmetric spectra, semistability and the multiplicative norm, Journal of Pure and Applied Algebra, Vol. 221, No. 10, 10.2017, p. 2582-2632. [journal link]

Coauthors:

Tobias Barthel, Dieter Degrijse, John Greenlees, Simon Gritschacher, Wolfgang Lück, Niko Naumann, Thomas Nikolaus, Justin Noel, Dominik Ostermayr, Irakli Patchkoria, Stefan Schwede, Nat Stapleton