Tom Bachmann

I am a professor at the University of Mainz in Germany. For more information, you may wish to consult my cv.

Contact

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

Preprints

(with Elden Elmanto and Jeremiah Heller) Splitting results for normed motivic spectra [arxiv]
(with Elden Elmanto and Jeremiah Heller) Normed motivic spectra and power operations [arxiv]
(with Aravind Asok and Mike Hopkins) On the Whitehead theorem for nilpotent motivic spaces [arxiv]
Motivic spectral Mackey functors [arxiv]
(with Kirsten Wickelgren) On quadratically enriched excess and residual intersections [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 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

Motivic stable homotopy theory is strictly commutative at the characteristic [AiM] [arxiv]
(with Adeel A. Khan, Charanya Ravi and Vladimir Sosnilo) Categorical Milnor squares and K-theory of algebraic stacks [Selecta] [arxiv]
The very effective covers of KO and KGL over Dedekind schemes [JEMS] [arxiv]
Eta-periodic motivic stable homotopy theory over Dedekind domanis [Journal of Topology] [arxiv]
(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]

Teaching

WS 2021/2: Algebraic Number Theory, Presheaves with transfer

SS 2021: Algebraic Geometry 2, Galois Cohomology

WS 2020/1: Algebraic Geometry 1

Fall 2019: 18.904

Spring 2019: 18.906