We study the étale sheafification of algebraic K-theory, called étale K-theory. Our main
results show that étale K-theory is very close to a noncommutative invariant called Selmer K …

The celebrated tenfold way of Altland-Zirnbauer symmetry classes discern any quantum
system by its pattern of nonspatial symmetries. It lays at the core of the periodic table of …

We systematically develop a theory of stratification in the context of tensor triangular
geometry and apply it to classify the localizing tensor-ideals of certain categories of spectral …

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 continue the study of enriched∞-categories, using a definition equivalent to that of
Gepner and Haugseng. In our approach enriched∞-categories are associative monoids in …

Let G be a finite group. We give Quillen equivalent models for the category of G-spectra as
categories of spectrally enriched functors from explicitly described domain categories to …

If $ f: S'\to S $ is a finite locally free morphism of schemes, we construct a symmetric
monoidal" norm" functor $ f_\otimes:\mathcal H_*(S')\to\mathcal H_*(S) $, where $\mathcal …

The purpose of this article is threefold: Firstly, we propose some enhancements to the
existing definition of 6-functor formalisms. Secondly, we systematically study the category of …

In this paper we develop a theory of stability for $ G $-categories (presheaf of categories on
the orbit category of $ G $), where $ G $ is a finite group. We give a description of Mackey …

We prove some $ K $-theoretic descent results for finite group actions on stable $\infty $-
categories, including the $ p $-group case of the Galois descent conjecture of Ausoni …