105 citations · 417 across the 30 of their papers we have counts for
5 papers · 1 filter
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 -ring spectra, which naturally lead to the study of Picar…
Fibers of partial totalizations of a pointed cosimplicial space
Akhil Mathew, Vesna Stojanoska
Let be a cosimplicial object in a pointed -category. We show that the fiber of depends only on the poi…
Residue fields for a class of rational -rings and applications
Akhil Mathew
Let be an -ring spectrum over the rational numbers. If satisfies a noetherian condition on its homotopy groups , we construct a collection of $…
The Galois group of a stable homotopy theory
Akhil Mathew
To a "stable homotopy theory" (a presentable, symmetric monoidal stable -category), we naturally associate a category of finite étale algebra objects and, using Grothendiec…
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., -ring spectra. Using an explicit nilpotence bound on…