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math.AT2026
On Galois extensions of geometric fixed point spectra
Jack Morgan Davies
In this article, the cyclotomic Galois action on topological K-theory adjoined with a primitive th root of unity and the famous - and -Ga…
math.AT2026
Ambidextrous global spectra and tempered cohomology
William Balderrama, Jack Morgan Davies, Sil Linskens
We introduce generalizations of global equivariant spectra which encode globally equivariant cohomology theories equipped with additional transfers, such as the deflation maps pres…
math.AT2025
On periodic families in the stable stems of height two
Christian Carrick, Jack Morgan Davies
We discover a host of infinite periodic families in the 2-primary stable homotopy groups of spheres. We also confirm the existence of many families predicted by Hopkins--Mahowald.…