Tom Bachmann

I am a PostDoc with Haynes Miller in motivic homotopy theory at MIT. I was previously a PostDoc in Essen with Marc Levine, and before that a student of Fabien Morel. For more information, you may wish to consult my cv.

Contact

Email: tom.bachmann@zoho.com
Office: 2-246A

Work in preparation

• Eta-periodic motivic stable homotopy theory
• Motivic spectral mackey functors
• Mod 2 Power Operations in Normed Motivic Spectra
• Inverting motivic spherical bott elements

Preprints

• (with Elden Elmanto, Marc Hoyois, Adeel Khan, Vladimir Sosnilo, Maria Yakerson) On the infinite loop spaces of algebraic cobordism and the motivic sphere [arxiv]
• (with Jeremy Hahn) Nilpotence in normed MGL-modules [arxiv]
• (with Maria Yakerson) Towards conservativity of Gm-stabilization [arxiv]
• Rigidity in etale motivic stable homotopy theory [arxiv]
• Motivic Tambara Functors [arxiv]
• (with Marc Hoyois) Norms in Motivic Homotopy Theory [arxiv]
• (with Jean Fasel) On the effectivity of spectra representing motivic cohomology theories [arxiv]

Publications

• 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

• A1-invariants in Galois cohomology and a claim of Morel [arxiv]
• Part III essay: Homological Mirror Symmetry for Elliptic Curves [pdf]

Teaching

Fall 2019: 18.904
Spring 2019: 18.906