Tom Bachmann

I am an associate professor at the University of Oslo. For more information, you may wish to consult my cv.

Contact

Email: tom.bachmann@zoho.com
Office: 1113

Work in preparation

  • Mod 2 Power Operations in Normed Motivic Spectra

Preprints

  • Motivic spectral Mackey functors [arxiv]
  • The very effective covers of KO and KGL over Dedekind schemes [arxiv]
  • (with Kirsten Wickelgren) On quadratically enriched excess and residual intersections [arxiv]
  • Motivic stable homotopy theory is strictly commutative at the characteristic [arxiv]
  • (with Marc Hoyois) Remarks on étale motivic stable homotopy theory [arxiv]
  • (with Elden Elmanto and Jeremiah Heller) Motivic colimits and extended powers [arxiv]
  • (with Adeel A. Khan, Charanya Ravi and Vladimir Sosnilo) Categorical Milnor squares and K-theory of algebraic stacks [arxiv]
  • (with Mike Hopkins) Eta-periodic motivic stable homotopy theory over fields [arxiv]
  • (with Elden Elmanto and Paul Arne Østvær) Stable motivic invariants are eventually étale local [arxiv]
  • (with Jeremy Hahn) Nilpotence in normed MGL-modules [arxiv]
  • (with Jean Fasel) On the effectivity of spectra representing motivic cohomology theories [arxiv]

Publications

Miscellaneous

  • Algebraic K-theory from the viewpoint of motivic homotopy theory [pdf]
  • (with Elden Elmanto) Notes on motivic infinite loop space theory [arxiv]
  • A1-invariants in Galois cohomology and a claim of Morel [arxiv]
  • Part III essay: Homological Mirror Symmetry for Elliptic Curves [pdf]