A bstract The three tachyon-free non-supersymmetric string theories in ten dimensions
provide a handle on quantum gravity away from the supersymmetric lamppost. However …

Let G be a finite group and let F be a family of subgroups of G. We introduce a class of G-
equivariant spectra that we call F-nilpotent. This definition fits into the general theory of …

The connective topological modular forms spectrum, $ tmf $, is in a sense initial among
elliptic spectra, and as such is an important link between the homotopy groups of spheres …

Let A→ B be a G-Galois extension of rings, or more generally of E∞-ring spectra in the
sense of Rognes. A basic question in algebraic K-theory asks how close the map K (A)→ K …

We explore the C 2–equivariant spectra Tmf 1 (3) and TMF 1 (3). In particular, we compute
their C 2–equivariant Picard groups and the C 2–equivariant Anderson dual of Tmf 1 (3) …

The cohomology theory known as Tmf Tmf, for “topological modular forms,” is a universal
object mapping out to elliptic cohomology theories, and its coefficient ring is closely …

C-motivic modular forms Page 1 © 2021 European Mathematical Society Published by EMS
Press and licensed under a CC BY 4.0 license J. Eur. Math. Soc. 24, 3597–3628 (2022) DOI …

Given an algebraic stack, one may compare the derived category of quasi-coherent sheaves
on with the category of dg-modules over the dg-ring of functions on. We study the analogous …

We determine the image of the 2–primary tmf Hurewicz homomorphism, where tmf is the
spectrum of topological modular forms. We do this by lifting elements of tmf⁡∗ to the …

We give a survey of the ideas of descent and nilpotence, beginning with the theory of thick
subcategories. We focus on examples arising from chromatic homotopy theory (such as …