1 citations · 1 across the 3 of their papers we have counts for
10 papers
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…
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 $β_1^5 \neq 0$, whilst $β_1^6 = 0$. Shimomura generalised this…
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.…