3 papers
math.AT2026
On the derived Tate curve and global smooth Tate -theory
Jack Morgan Davies, Sil Linskens
The interplay between equivariant stable homotopy theory and spectral algebraic geometry is used to construct a derived Tate curve over , a lift of the classical…
math.AT2025
Comparing tempered and equivariant elliptic cohomology
Jack Morgan Davies
Lurie and Gepner--Meier each define equivariant cohomology theories, namely tempered cohomology and equivariant elliptic cohomology, respectively, using derived algebraic geometry.…
math.AT2025
Constructing and calculating Adams operations on dualisable topological modular forms
Jack Morgan Davies
We construct Adams operations on the cohomology theory Tmf of topological modular forms; the first such stable operations on this cohomology theory. These Adams operations are then…