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) Voevodsky's slice conjectures via Hilbert schemes [arxiv]
(with Elden Elmanto, Adeel Khan, Vladimir Sosnilo and 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

(with Elden Elmanto) Notes on motivic infinite loop space theory [pdf]
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