105 citations · 417 across the 30 of their papers we have counts for
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Picard groups of higher real -theory spectra at height
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 -theory spectra of Hopkins and Miller at height $n=p-1…
Nilpotence and descent in equivariant stable homotopy theory
Akhil Mathew, Niko Naumann, Justin Noel
Let be a finite group and let be a family of subgroups of . We introduce a class of -equivariant spectra that we call -nilpotent. This definiti…
Derived induction and restriction theory
Akhil Mathew, Niko Naumann, Justin Noel
Let be a finite group. To any family of subgroups of , we associate a thick -ideal of the category of -spectra with th…
Torsion exponents in stable homotopy and the Hurewicz homomorphism
Akhil Mathew
We give estimates for the torsion in the Postnikov sections of the sphere spectrum, and show that the -localization is annihilated by . Thi…
and base-change for Galois extensions of ring spectra
Akhil Mathew
We treat the question of base-change in for faithful Galois extensions of ring spectra in the sense of Rognes. Given a faithful Galois extension of ring spectra, we…