J. M. Davies

activity

20202026

most citedOn Lurie's theorem and applications

2 citations · 4 across the 11 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.AT2025

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 $E_{\infty}$ rin…

math.AT2025

Revisiting the $β_{1}$ -action on the $3$ -primary stable homotopy groups of spheres

Jack Morgan Davies

Let $β_{1}$ be the first $3$ -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 to…

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.…

Affineness and reconstruction in complex-periodic geometry

Revisiting the β1​-action on the 3-primary stable homotopy groups of spheres

On periodic families in the stable stems of height two

Revisiting the $β_{1}$ -action on the $3$ -primary stable homotopy groups of spheres