Markus Hausmann

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Databases:

Preprint:

  1. The universal property of bordism of commuting involutions (with Stefan Schwede, 2024)

Publications:

  1. Group actions and chromatic homotopy theory
    Survey article, Jahresberichte der Deutschen Mathematiker-Vereinigung (2026). [journal link]

  2. Representation-graded Bredon homology of elementary abelian 2-groups (with Stefan Schwede)
    Algebraic & Geometric Topology 25-7 (2025), p. 4321-4340. [journal link]

  3. Invariant prime ideals in equivariant Lazard rings (with Lennart Meier)
    Geometry & Topology 29-7 (2025), p. 3813-3871. [journal link]

  4. Global group laws and equivariant bordism rings
    Annals of Mathematics, Vol. 195, Issue 3 (2022), p. 841-910. [journal link]

  5. 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]

  6. 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]

  7. Commuting matrices and Atiyah's Real K-theory (with Simon Gritschacher)
    Journal of Topology, Vol. 12, Issue 3 (2019), p. 832-853. [journal link]

  8. 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]

  9. Symmetric products and subgroup lattices
    Geometry & Topology 22-3 (2018), p. 1547-1591. [journal link]

  10. Filtrations of global equivariant K-theory (with Dominik Ostermayr)
    Mathematische Zeitschrift , Vol. 295 (2020), p. 161-210. [journal link]

  11. Symmetric spectra model global equivariant homotopy theory
    Algebraic & Geometric Topology 19-3 (2019), p. 1413-1452. [journal link]

  12. G-symmetric spectra, semistability and the multiplicative norm
    Journal of Pure and Applied Algebra, Vol. 221, No. 10 (2017), p. 2582-2632. [journal link]

Coauthors:

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