Tom Bachmann

I am a PostDoc with Haynes Miller in motivic homotopy theory at MIT. I was previously a PostDoc in Essen with Marc Levine, and before that a student of Fabien Morel. For more information, you may wish to consult my cv.


Office: 2-246A

Work in preparation

  • Eta-periodic motivic stable homotopy theory
  • Motivic spectral mackey functors
  • Mod 2 Power Operations in Normed Motivic Spectra
  • Inverting motivic spherical bott elements


  • (with Elden Elmanto) Voevodsky's slice conjectures via Hilbert schemes [arxiv]
  • (with Elden Elmanto, Adeel Khan, Vladimir Sosnilo and Maria Yakerson) On the infinite loop spaces of algebraic cobordism and the motivic sphere [arxiv]
  • (with Jeremy Hahn) Nilpotence in normed MGL-modules [arxiv]
  • (with Maria Yakerson) Towards conservativity of Gm-stabilization [arxiv]
  • Rigidity in etale motivic stable homotopy theory [arxiv]
  • Motivic Tambara Functors [arxiv]
  • (with Marc Hoyois) Norms in Motivic Homotopy Theory [arxiv]
  • (with Jean Fasel) On the effectivity of spectra representing motivic cohomology theories [arxiv]



  • (with Elden Elmanto) Notes on motivic infinite loop space theory [pdf]
  • A1-invariants in Galois cohomology and a claim of Morel [arxiv]
  • Part III essay: Homological Mirror Symmetry for Elliptic Curves [pdf]


Fall 2019: 18.904
Spring 2019: 18.906