A. Mathew

activity

20102026

most citedNilpotence and descent in equivariant stable homotopy theory

105 citations · 417 across the 30 of their papers we have counts for

collaborators

Showing 2014 · math.ATShow all

4 papers · 2 filters

math.AT2014★ 58 cited

The Picard group of topological modular forms via descent theory

Akhil Mathew, Vesna Stojanoska

This paper starts with an exposition of descent-theoretic techniques in the study of Picard groups of $E_{\infty}$ -ring spectra, which naturally lead to the study of Picar…

math.AT2014★ 3 cited

Fibers of partial totalizations of a pointed cosimplicial space

Akhil Mathew, Vesna Stojanoska

Let $X^{∙}$ be a cosimplicial object in a pointed $\infty$ -category. We show that the fiber of $Tot_{m} (X^{∙}) \to Tot_{n} (X^{∙})$ depends only on the poi…

math.AT2014★ 1 cited

Residue fields for a class of rational $E_{\infty}$ -rings and applications

Akhil Mathew

Let $A$ be an $E_{\infty}$ -ring spectrum over the rational numbers. If $A$ satisfies a noetherian condition on its homotopy groups $π_{*} (A)$ , we construct a collection of $…

math.AT2014★ 29 cited

On a nilpotence conjecture of J.P. May

Akhil Mathew, Niko Naumann, Justin Noel

We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, i.e., $H_{\infty}$ -ring spectra. Using an explicit nilpotence bound on…

The Picard group of topological modular forms via descent theory

Fibers of partial totalizations of a pointed cosimplicial space

Residue fields for a class of rational E∞​-rings and applications

On a nilpotence conjecture of J.P. May

Residue fields for a class of rational $E_{\infty}$ -rings and applications