Tom Bachmann

activity

20242026

collaborators

5 papers

math.AG2026

Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields

Tom Bachmann, Robert Burklund, Bjørn Ian Dundas +1

We compute the tensor of the multiplicative group scheme with the mod- $2$ motivic cohomology spectrum in normed motivic spectra over the complex numbers, and find that the resultin…

math.AT2025

Monadic resolutions for generalized spaces

Tom Bachmann, Anton Engelmann, Klaus Mattis

We extend the work of Bousfield and Kan on monadic resolutions of spaces to $\infty$ -topoi, with applications to genuine $G$ -equivariant spaces ( $G$ a finite group) and motivic spa…

math.AG2025

Motivic stable stems and Galois approximations of cellular motivic categories

Tom Bachmann, Robert Burklund, Zhouli Xu

We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our m…

math.AG2024

Strongly A^1-invariant sheaves (after F. Morel)

Tom Bachmann

Strongly (respectively strictly) A1-invariant sheaves are foundational for motivic homotopy theory over fields. They are sheaves of (abelian) groups on the Nisnevich site of smooth…

math.AT2024

$E_{\infty}$ -coalgebras and $p$ -adic homotopy theory

Tom Bachmann, Robert Burklund

We show that for any separably closed field $k$ of characteristic $p > 0$ , the canonical functor from nilpotent $p$ -adic spaces to $E_{\infty}$ -coalgebras over $k$ (given by…

Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields

Monadic resolutions for generalized spaces

Motivic stable stems and Galois approximations of cellular motivic categories

Strongly A^1-invariant sheaves (after F. Morel)

E∞​-coalgebras and p-adic homotopy theory

$E_{\infty}$ -coalgebras and $p$ -adic homotopy theory