Tom Bachmann

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


Email: Office: Staudingerweg 9, 4-423


Anton Engelmann, Klaus Mattis, Nikolai Opdan, Ola Sande


  • Strongly A^1-invariant sheaves (after F. Morel) [arxiv]
  • (with Robert Burklund)
    E-infinity coalgebras and p-adic homotopy theory
  • A C_2-equivariant Gabber presentation lemma
  • (with Aravind Asok and Mike Hopkins)
    On P^1-stabilization in unstable motivic homotopy theory
  • (with Elden Elmanto and Jeremiah Heller)
    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)
    On the Whitehead theorem for nilpotent motivic spaces

  • Motivic spectral Mackey functors
  • (with Marc Hoyois)
    Remarks on étale motivic stable homotopy theory
  • (with Elden Elmanto and Jeremiah Heller)
    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]


  • (with Kirsten Wickelgren)
    On quadratically enriched excess and residual intersections
    [Crelle] [arxiv]
  • (with Elden Elmanto and Paul Arne Østvær)
    Stable motivic invariants are eventually étale local
    [JEMS] [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
    [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]


  • 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]



Angaben gem. § 5 TMG:

Bachmann, Tom

Institut für Mathematik
Johannes Gutenberg-Universität
Staudingerweg 9
55128 Mainz



Telefon: +49 6131 39-28755