Jeremy Hahn

activity

20242026

collaborators

5 papers

math.KT2026

Crystallinity for syntomic cohomology, Ã©tale cohomology, and algebraic $K$ -theory

Jeremy Hahn, Ishan Levy, Andrew Senger

We prove for $n \geq c - 1$ that the functor taking an animated ring $R$ to its mod $(p^{c}, v_{1}^{p^{n}})$ syntomic cohomology factors through the functor $R \mapsto R / p^{c (n + 2)}$ , a pheno…

math.KT2025

A motivic filtration on the topological cyclic homology of commutative ring spectra

Jeremy Hahn, Arpon Raksit, Dylan Wilson

For a prime number $p$ and a $p$ -quasisyntomic commutative ring $R$ , Bhatt--Morrow--Scholze defined motivic filtrations on the $p$ -completions of $\mathrm{THH}(R), \mathrm{TC}^{-}(…

math.KT2025

Syntomic cohomology of Morava K-theory

Gabriel Angelini-Knoll, Jeremy Hahn, Dylan Wilson

We compute the MU-based syntomic cohomologies, mod $(p, v_{1}, \dots, v_{n + 1})$ , of all $E_{1}$ -MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences,…

math.AT2025

Examples of disk algebras

Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson +2

We produce refinements of the known multiplicative structures on the Brown--Peterson spectrum $B P$ , its truncated variants $B P ⟨ n ⟩$ , Ravenel's spectra $X (n)$ , and even…

math.AT2024

The Lubin-Tate Theory of Configuration Spaces: I

Lukas Brantner, Jeremy Hahn, Ben Knudsen

We construct a spectral sequence converging to the Morava $E$ -theory of unordered configuration spaces and identify its E $^{2}$ -page as the homology of a Chevalley-Eilenberg-like com…