D. Wilson

activity

20152024

most citedEilenberg-MacLane spectra as equivariant Thom spectra

10 citations · 40 across the 14 of their papers we have counts for

collaborators

16 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.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.AT2021★ 1 cited

On the $C_{p}$ -equivariant dual Steenrod algebra

Krishanu Sankar, Dylan Wilson

We compute the $C_{p}$ -equivariant dual Steenrod algebras associated to the constant Mackey functors $F_{p}$ and $Z_{(p)}$ , as $\underline{\ma…

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★ 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 $…