6 citations · 17 across the 7 of their papers we have counts for
7 papers
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…
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.…
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…
Hecke operators on topological modular forms
Jack Morgan Davies
The cohomology theory TMF of topological modular forms is a derived algebro-geometric interpretation of the classical ring of complex modular forms from number theory. In this arti…
Elliptic cohomology is unique up to homotopy
Jack Morgan Davies
Homotopy theory folklore tells us that the sheaf defining the cohomology theory Tmf of topological modular forms is unique up to homotopy. Here we provide a proof of this fact, alt…
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…
Realising -algebras by global ring spectra
Jack Morgan Davies
We approach a problem of realising algebraic objects in a certain universal equivariant stable homotopy theory; the global homotopy theory of Schwede. Specifically, for a global ri…