We completely compute the slice spectral sequence of the $ C_4 $-spectrum $
BP^{(\!(C_4)\!)}\langle 2\rangle $. This spectrum provides a model for a height-4 Lubin–Tate …

We show that at the prime 2, for any height $ h $ and $ G\subset\mathbb {G} _h $ a finite
subgroup of the Morava stabilizer group, the $ RO (G) $-graded homotopy fixed point …

For a motivic spectrum $ E\in\mathcal {SH}(k) $, let $\Gamma (E) $ denote the global
sections spectrum, where $ E $ is viewed as a sheaf of spectra on $\mathrm {Sm} _k …

We study how smashing Bousfield localizations behave under various equivariant functors.
We show that the analogs of the smash product and chromatic convergence theorems for …

In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--
Tate theories. This establishes a direct relationship between the equivariant slice spectral …

In this paper, we introduce the localized slice spectral sequence, a variant of the equivariant
slice spectral sequence that computes geometric fixed points equipped with residue group …

We study transchromatic phenomena for the Tate construction of Real oriented cohomology
theories. First, we show that after suitable completion, the Tate construction with respect to a …

Let $\mathrm {X (n)} $ be Ravenel's Thom spectrum over $\Omega\mathrm {SU}(n) $. We
say a spectrum $ E $ has chromatic defect $ n $ if $ n $ is the smallest positive integer such …

We study transchromatic phenomena for the Tate construction of Real oriented cohomology
theories. First, we show that after suitable completion, the Tate construction with respect to a …

We begin by investigating analogues of the Ravenel conjectures in chromatic homotopy in
the setting of Real-oriented homotopy theory, where one carries the data of canonical group …