## Preprints

**Strongly A^1-invariant sheaves (after F. Morel)**[arxiv]- (with Robert Burklund)
[arxiv]

E-infinity coalgebras and p-adic homotopy theory **A C_2-equivariant Gabber presentation lemma**[arxiv]- (with Aravind Asok and Mike Hopkins)
[arxiv]

On P^1-stabilization in unstable motivic homotopy theory - (with Elden Elmanto and Jeremiah Heller)
[arxiv]

Splitting results for normed motivic spectra - (with Elden Elmanto and Jeremiah Heller)
**Normed motivic spectra and power operations**[arxiv] - (with Aravind Asok and Mike Hopkins)
[arxiv]

On the Whitehead theorem for nilpotent motivic spaces [arxiv]

Motivic spectral Mackey functors- (with Marc Hoyois)
[arxiv]

Remarks on étale motivic stable homotopy theory - (with Elden Elmanto and Jeremiah Heller)
[arxiv]

Motivic colimits and extended powers - (with Mike Hopkins)
**Eta-periodic motivic stable homotopy theory over fields**[arxiv] - (with Jeremy Hahn)
**Nilpotence in normed MGL-modules**[arxiv] - (with Jean Fasel)
**On the effectivity of spectra representing motivic cohomology theories**[arxiv]

## Publications

- (with Kirsten Wickelgren)
[Crelle] [arxiv]

On quadratically enriched excess and residual intersections - (with Elden Elmanto and Paul Arne Østvær)
[JEMS] [arxiv]

Stable motivic invariants are eventually étale local **Motivic stable homotopy theory is strictly commutative at the characteristic**[AiM] [arxiv]- (with Adeel A. Khan, Charanya Ravi and Vladimir Sosnilo)
[Selecta] [arxiv]

Categorical Milnor squares and K-theory of algebraic stacks [JEMS] [arxiv]

The very effective covers of KO and KGL over Dedekind schemes**Eta-periodic motivic stable homotopy theory over Dedekind domanis**[Journal of Topology] [arxiv]- (with Paul Arne Østvær)
[Forum Math. Sigma] [arxiv]

Topological models for stable motivic invariants of regular number rings - (with Hana Jia Kong, Guozhen Wang and Zhouli Xu)
[Annals] [arxiv]

The Chow t-structure on motivic spectra **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)
[epiga] [arxiv]

On the infinite loop spaces of algebraic cobordism and the motivic sphere - (with Kirsten Wickelgren)
[Jussieu] [arxiv]

A^1-Euler classes: six functors formalisms, dualities, integrality and linear subspaces of complete intersections - (with Elden Elmanto)
[AG] [arxiv]

Voevodsky's slice conjectures via Hilbert schemes - (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**[Duke] [arxiv]

Motive**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

## Teaching

WS 2024/5: Foundations of Motivic Homotopy Theory, exercises: 1

SS 2024: Übungsaufgaben Quasikategorien 1, Übungsaufgaben Quasikategorien 2

WS 2023/4: Übungsaufgaben Steenrod-Operationen Übungsaufgaben SSS

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

## Impressum

__Angaben gem. § 5 TMG:__

Bachmann, Tom

Institut für Mathematik

Johannes Gutenberg-Universität

Staudingerweg 9

55128 Mainz

__Kontaktaufnahme:__

Telefon: +49 6131 39-28755

E-Mail: tom.bachmann@zoho.com