2 citations · 4 across the 11 of their papers we have counts for
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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…
An algebraic model for rational ultracommutative rings
William Balderrama, Jack Morgan Davies, Sil Linskens
Given a global equivariant ultracommutative ring spectrum and inclusion of finite groups, one may apply geometric fixed points to the norm $N_H^G E_H \to E…
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…
Affineness and reconstruction in complex-periodic geometry
William Balderrama, Jack Morgan Davies, Sil Linskens
Working in a generic derived algebro-geometric context, we lay the foundations for the general study of affineness and local descendability. When applied to rin…
Revisiting the -action on the -primary stable homotopy groups of spheres
Jack Morgan Davies
Let be the first -torsion class in the stable homotopy groups of spheres in even degree. Toda showed that , whilst . Shimomura generalised this to…
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.…
The descent spectral sequence for topological modular forms
Christian Carrick, Jack Morgan Davies, Sven van Nigtevecht
We prove the Gap Theorem for the spectrum of topological modular forms . This removes a longstanding circularity in the literature, thereby confirming the computation…
Nonvanishing of products in -periodic families at the prime
Christian Carrick, Jack Morgan Davies
Many products amongst -periodic families in the stable homotopy groups of spheres are shown not to vanish and some Toda brackets are shown not to contain zero. This is done by…
Descent spectral sequences through synthetic spectra
Christian Carrick, Jack Morgan Davies, Sven van Nigtevecht
The synthetic analogue functor from spectra to synthetic spectra does not preserve all limits. In this paper, we give a necessary and sufficient criterion for to preserve t…
A synthetic approach to detecting -periodic families
Christian Carrick, Jack Morgan Davies
We provide a simple proof that the unit map from the sphere spectrum to the connective image-of- spectrum is surjective on homotopy groups. This is achieved using a…
On Lurie's theorem and applications
Jack Morgan Davies
Lurie's theorem states that there exists a sheaf of ring spectra on the site of formally étale Deligne--Mumford stacks over the moduli stack of -divisible groups of height ,…