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 2015Show all

6 papers · 1 filter

math.RT2015★ 6 cited

Torus actions on stable module categories, Picard groups, and localizing subcategories

Akhil Mathew

Given an abelian $p$ -group $G$ of rank $n$ , we construct an action of the torus $T^{n}$ on the stable module $\infty$ -category of $G$ -representations over a field of charact…

math.AT2015★ 12 cited

Picard groups of higher real $K$ -theory spectra at height $p - 1$

Drew Heard, Akhil Mathew, Vesna Stojanoska

Using the descent spectral sequence for a Galois extension of ring spectra, we compute the Picard group of the higher real $K$ -theory spectra of Hopkins and Miller at height $n=p-1…

math.AT2015★ 105 cited

Nilpotence and descent in equivariant stable homotopy theory

Akhil Mathew, Niko Naumann, Justin Noel

Let $G$ be a finite group and let $F$ be a family of subgroups of $G$ . We introduce a class of $G$ -equivariant spectra that we call $F$ -nilpotent. This definiti…

math.AT2015★ 10 cited

Derived induction and restriction theory

Akhil Mathew, Niko Naumann, Justin Noel

Let $G$ be a finite group. To any family $F$ of subgroups of $G$ , we associate a thick $\otimes$ -ideal $F^{Nil}$ of the category of $G$ -spectra with th…

math.AT2015★ 4 cited

Torsion exponents in stable homotopy and the Hurewicz homomorphism

Akhil Mathew

We give estimates for the torsion in the Postnikov sections $τ_{[1, n]} S^{0}$ of the sphere spectrum, and show that the $p$ -localization is annihilated by $p^{n / (2 p - 2) + O (1)}$ . Thi…

math.AT2015★ 9 cited

$T H H$ and base-change for Galois extensions of ring spectra

Akhil Mathew

We treat the question of base-change in $T H H$ for faithful Galois extensions of ring spectra in the sense of Rognes. Given a faithful Galois extension $A \to B$ of ring spectra, we…

Torus actions on stable module categories, Picard groups, and localizing subcategories

Picard groups of higher real K-theory spectra at height p−1

Nilpotence and descent in equivariant stable homotopy theory

Derived induction and restriction theory

Torsion exponents in stable homotopy and the Hurewicz homomorphism

THH and base-change for Galois extensions of ring spectra

Picard groups of higher real $K$ -theory spectra at height $p - 1$

$T H H$ and base-change for Galois extensions of ring spectra