Tom Bachmann

I am a PostDoc in the working group of Fabien Morel at LMU Munich. For more information, you may wish to consult my cv.

Contact

Email: tom.bachmann@zoho.com
Office: B427

Work in preparation

  • Motivic spectral mackey functors
  • Mod 2 Power Operations in Normed Motivic Spectra

Preprints

  • 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]
  • Eta-periodic motivic stable homotopy theory over Dedekind domanis [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

  • (with Paul Arne Østvær) Topological models for stable motivic invariants of regular number rings [Forum Math. Sigma] [arxiv]
  • (with Hana Jia Kong, Guozhen Wang and Zhouli Xu) The Chow t-structure on motivic spectra [Annals] [arxiv]
  • Cancellation theorem for motivic spaces with finite flat transfers [Documenta Math.] [arxiv]
  • The zeroth P^1-stable homotopy sheaf of a motivic space [Jussieu] [arxiv]
  • (with Elden Elmanto, Marc Hoyois, Adeel Khan, Vladimir Sosnilo and Maria Yakerson) On the infinite loop spaces of algebraic cobordism and the motivic sphere [epiga] [arxiv]
  • (with Kirsten Wickelgren) A^1-Euler classes: six functors formalisms, dualities, integrality and linear subspaces of complete intersections [Jussieu] [arxiv]
  • (with Elden Elmanto) Voevodsky's slice conjectures via Hilbert schemes [AG] [arxiv]
  • (with Maria Yakerson) Towards conservativity of Gm-stabilization [G&T] [arxiv]
  • Rigidity in etale motivic stable homotopy theory [AGT] [arxiv]
  • Motivic Tambara Functors [Math. Z.] [arxiv]
  • (with Marc Hoyois) Norms in Motivic Homotopy Theory [Asterisque] [arxiv]
  • Affine Grassmannians in A^1-algebraic Topology [Sel. Math.] [pdf] [arxiv]
  • On the Conservativity of the Functor Assigning to a Motivic Spectrum its Motive [Duke] [arxiv]
  • Motivic and Real Etale Stable Homotopy Theory [Compositio] [arxiv]
  • (with Alexander Vishik) Motivic equivalence of affine quadrics [Math. Ann.] [arxiv]
  • Some Remarks on Units in Grothendieck-Witt Rings [Journal of Algebra] [arxiv]
  • The Generalized Slices of Hermitian K-Theory [Journal of Topology] [arxiv]
  • On the Invertibility of Motives of Affine Quadrics [Documenta Math.] [arxiv]

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]