3 papers
math.AT2025
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.AT2023
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.AT2023
Uniqueness of real ring spectra up to higher homotopy
Jack Morgan Davies
We discuss a notion of uniqueness up to -homotopy and study examples from stable homotopy theory. In particular, we show that the -expansion map from elliptic cohomology to t…