Tom Bachmann

I am a PostDoc with Marc Levine in motivic homotopy theory at the university of Duisburg-Essen. I was previously a student of Fabien Morel. For more information, you may wish to consult my cv.

Contact

Fakultät Mathematik
Universität Duisburg-Essen, Campus Essen
Thea-Leymann-Straße 9
45127 Essen

Email: tom.bachmann@zoho.com

Office: WSC-O-3.69

Work in preparation

• Mod 2 Power Operations in Normed Motivic Spectra
• Effective cycle complexes

Preprints

• Motivic Tambara Functors [arxiv]
• Affine Grassmannians in A^1-algebraic Topology [arxiv]
• (with Marc Hoyois) Norms in Motivic Homotopy Theory [arxiv]
• (with Jean Fasel) On the effectivity of spectra representing motivic cohomology theories [arxiv]

Publications

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