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 …

We show that Lubin--Tate theories attached to algebraically closed fields are characterized
among $ T (n) $-local $\mathbb {E} _ {\infty} $-rings as those that satisfy an analogue of …

We prove a version of Quillen's stratification theorem in equivariant homotopy theory for a
finite group $ G $, generalizing the classical theorem in two directions. Firstly, we work with …

We introduce a theory of stratifications of noncommutative stacks (ie presentable stable
$\infty $-categories), and we prove a reconstruction theorem that expresses them in terms of …

For every abelian compact Lie group A, we prove that the homotopical A-equivariant
complex bordism ring, introduced by tom Dieck (1970), is isomorphic to the A-equivariant …

We study the Balmer spectrum of the category of finite $ G $-spectra for a compact Lie group
$ G $, extending the work for finite $ G $ by Strickland, Balmer–Sanders, Barthel–Hausmann …

We compute the spectrum of the category of derived Mackey functors (in the sense of
Kaledin) for all finite groups. We find that this space captures precisely the top and bottom …

We extend the theory of ambidexterity developed by MJ Hopkins and J. Lurie and show that
the∞-categories of T n-local spectra are∞-semiadditive for all n, where T n is the telescope …

Goodwillie calculus is a method for analyzing functors that arise in topology. One may think
of this theory as a categorification of the classical differential calculus of Newton and …

We give a simple argument to detect chromatic redshift in the algebraic $ K $-theory of
$\mathbb {E} _ {\infty} $-ring spectra and give two applications: we show for $ n\geq 1$ that …