# Tom Bachmann

I am an associate professor at the University of Oslo. For more information, you may wish to consult my cv.## Contact

Email: tom.bachmann@zoho.comOffice: 1113

Office: 1113

- (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]

**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]

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