Jeremy Hahn

activity

20162024

most citedEilenberg-MacLane spectra as equivariant Thom spectra

10 citations · 43 across the 19 of their papers we have counts for

collaborators

22 papers

math.KT2024

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.KT2024

Crystallinity for syntomic cohomology, étale 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.AT2023★ 1 cited

$K$ -theoretic counterexamples to Ravenel's telescope conjecture

Robert Burklund, Jeremy Hahn, Ishan Levy +1

At each prime $p$ and height $n + 1 \geq 2$ , we prove that the telescopic and chromatic localizations of spectra differ. Specifically, for $Z$ acting by Adams operations on $…

math.AT2023

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.KT2022★ 3 cited

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.AT2020

Redshift and multiplication for truncated Brown-Peterson spectra

Jeremy Hahn, Dylan Wilson

We equip $BP ⟨ n ⟩$ with an $E_{3}$ - $BP$ -algebra structure, for each prime $p$ and height $n$ . The algebraic $K$ -theory of this ring is of chro…

math.AT2020★ 1 cited

Galois reconstruction of Artin-Tate $R$ -motivic spectra

Robert Burklund, Jeremy Hahn, Andrew Senger

We explain how to reconstruct the category of Artin-Tate $R$ -motivic spectra as a deformation of the purely topological $C_{2}$ -equivariant stable category. The special fibe…

math.GT2020

Inertia groups in the metastable range

Robert Burklund, Jeremy Hahn, Andrew Senger

We prove that the inertia groups of all sufficiently-connected, high-dimensional $(2 n)$ -manifolds are trivial. This is a key step toward a general classification of manifolds in th…

math.AT2020★ 2 cited

Odd primary analogs of Real orientations

Jeremy Hahn, Andrew Senger, Dylan Wilson

We define, in $C_{p}$ -equivariant homotopy theory for $p > 2$ , a notion of $μ_{p}$ -orientation analogous to a $C_{2}$ -equivariant Real orientation. The definition hinges on a $C_{p}$ -space $…

math.AT2020★ 5 cited

Equivariant nonabelian Poincaré duality and equivariant factorization homology of Thom spectra

Jeremy Hahn, Asaf Horev, Inbar Klang +2

In this paper, we study genuine equivariant factorization homology and its interaction with equivariant Thom spectra, which we construct using the language of parametrized higher c…

math.AT2019

Real topological Hochschild homology and the Segal conjecture

Jeremy Hahn, Dylan Wilson

We give a new proof, independent of Lin's theorem, of the Segal conjecture for the cyclic group of order two. The key input is a calculation, as a Hopf algebroid, of the Real topol…

math.AT2019★ 1 cited

On the boundaries of highly connected, almost closed manifolds

Robert Burklund, Jeremy Hahn, Andrew Senger

Building on work of Stolz, we prove for integers $0 \leq d \leq 3$ and $k > 232$ that the boundaries of $(k - 1)$ -connected, almost closed $(2 k + d)$ -manifolds also bound parallelizable ma…

math.AT2019

Wilson Spaces, Snaith Constructions, and Elliptic Orientations

Hood Chatham, Jeremy Hahn, Allen Yuan

We construct a canonical family of even periodic $E_{\infty}$ -ring spectra, with exactly one member of the family for every prime $p$ and chromatic height $n$ . At height $…

math.AT2019★ 1 cited

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…

math.AT2019★ 2 cited

Nilpotence in normed MGL-modules

Tom Bachmann, Jeremy Hahn

We establish a motivic version of the May Nilpotence Conjecture: if E is a normed motivic spectrum that satisfies $E \land H Z ≃ 0$ , then also $E \land M G L ≃ 0$ . In word…

math.AT2019★ 5 cited

Exotic Multiplications on Periodic Complex Bordism

Jeremy Hahn, Allen Yuan

Victor Snaith gave a construction of periodic complex bordism by inverting the Bott element in the suspension spectrum of $B U$ . This presents an $E_{\infty}$ structure on pe…

math.AT2018★ 1 cited

Quotients of even rings

Jeremy Hahn, Dylan Wilson

We prove that if $R$ is an $E_{2}$ -ring with homotopy concentrated in even degrees, and ${x_{j}}$ is any sequence of elements in $π_{2 *} (R)$ , then $R / (x_{1}, x_{2}, \dots)$ admit…

math.AT2018★ 10 cited

Eilenberg-MacLane spectra as equivariant Thom spectra

Jeremy Hahn, Dylan Wilson

We prove that the $G$ -equivariant mod $p$ Eilenberg--MacLane spectrum arises as an equivariant Thom spectrum for any finite, $p$ -power cyclic group $G$ , generalizing a result of Be…

math.AT2017★ 4 cited

Multiplicative Structure in the Stable Splitting of $Ω S L_{n} (C)$

Jeremy Hahn, Allen Yuan

The space of based loops in $S L_{n} (C)$ , also known as the affine Grassmannian of $S L_{n} (C)$ , admits an $E_{2}$ or fusion product. Work of Mitchell and Richte…

math.AT2017★ 1 cited

Nilpotence in E_n Algebras

Jeremy Hahn

Nilpotence in the homotopy of $E_{\infty}$ -ring spectra is detected by the classical $H Z$ -Hurewicz homomorphism. Inspired by questions of Mathew, Noel, and Naumann,…

math.AT2017

Real Orientations of Lubin-Tate Spectra

Jeremy Hahn, XiaoLin Danny Shi

We show that Lubin-Tate spectra at the prime $2$ are Real oriented and Real Landweber exact. The proof is by application of the Goerss-Hopkins-Miller theorem to algebras with invol…

math.AT2016★ 6 cited

On the Bousfield classes of $H_{\infty}$ -ring spectra

Jeremy Hahn

We prove that any K(n)-acyclic, $D_{p}$ -ring spectrum is K(n+1)-acyclic, affirming an old conjecture of Mark Hovey.

Syntomic cohomology of Morava K-theory

Crystallinity for syntomic cohomology, étale cohomology, and algebraic K-theory

K-theoretic counterexamples to Ravenel's telescope conjecture

Examples of disk algebras

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

Redshift and multiplication for truncated Brown-Peterson spectra

Galois reconstruction of Artin-Tate R-motivic spectra

Inertia groups in the metastable range

Odd primary analogs of Real orientations

Equivariant nonabelian Poincaré duality and equivariant factorization homology of Thom spectra

Real topological Hochschild homology and the Segal conjecture

On the boundaries of highly connected, almost closed manifolds

Wilson Spaces, Snaith Constructions, and Elliptic Orientations

The Lubin-Tate Theory of Configuration Spaces: I

Nilpotence in normed MGL-modules

Exotic Multiplications on Periodic Complex Bordism

Quotients of even rings

Eilenberg-MacLane spectra as equivariant Thom spectra

Multiplicative Structure in the Stable Splitting of ΩSLn​(C)

Nilpotence in E_n Algebras

Real Orientations of Lubin-Tate Spectra

On the Bousfield classes of H∞​-ring spectra

Crystallinity for syntomic cohomology, étale cohomology, and algebraic $K$ -theory

$K$ -theoretic counterexamples to Ravenel's telescope conjecture

Galois reconstruction of Artin-Tate $R$ -motivic spectra

Multiplicative Structure in the Stable Splitting of $Ω S L_{n} (C)$

On the Bousfield classes of $H_{\infty}$ -ring spectra