Tom Bachmann

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20242026

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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.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…

Monadic resolutions for generalized spaces

E∞​-coalgebras and p-adic homotopy theory

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