Jonathan Beardsley

activity

20112023

most citedThe Enriched Grothendieck Construction

25 citations · 57 across the 14 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.AT2017★ 2 cited

Toward a Galois theory of the integers over the sphere spectrum

Jack Morava, Jonathan Beardsley

Recent work in higher algebra allows the reinterpretation of a classical description of the Eilenberg-MacLane spectrum $H Z$ as a Thom spectrum, in terms of a kind of deriv…

math.AT2017★ 1 cited

A User's Guide: Relative Thom Spectra via Operadic Kan Extensions

Jonathan Beardsley

This is an expository paper about the paper Relative Thom Spectra via Operadic Kan Extensions.

math.AT2017

Topological Hochschild homology of X(n)

Jonathan Beardsley

We show that Ravenel's spectrum $X (2)$ is the versal $E_{1}$ - $S$ -algebra of characteristic $η$ . This implies that every $E_{1}$ - $S$ -algebra $R$ of characteristic $η$ admits an $E_{1}$ -ri…

math.AT2017★ 4 cited

A Theorem on Multiplicative Cell Attachments with an Application to Ravenel's X(n) Spectra

Jonathan Beardsley

We show that the homotopy groups of a connective $E_{k}$ -ring spectrum with an $E_{k}$ -cell attached along a class $α$ in degree $n$ are isomorphic to the homotopy groups of the cofibe…