Drew Heard

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20242026

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math.AT2026

A point-free approach to the Nakaoka spectrum of a Tambara functor

Drew Heard

For $G$ a finite group and $T$ a $G$ -Tambara functor, we construct the frame $R a d I d_{G} (T)$ of radical Tambara ideals and show that its points are the Nakaoka primes. We sho…

math.AT2026

The formal spectrum of a tensor-triangulated category

Drew Heard, Marius Nielsen

To any essentially small tensor-triangulated category $K$ and Thomason subset $Y \subseteq Spc (K)$ we associate a ringed space $(\mathrm{Spf}(\mathcal{…

math.AT2025

The spectrum of excisive functors

Gregory Arone, Tobias Barthel, Drew Heard +1

We prove a thick subcategory theorem for the category of $d$ -excisive functors from finite spectra to spectra. This generalizes the Hopkins-Smith thick subcategory theorem (the $d=…

math.AT2024

Quillen stratification in equivariant homotopy theory

Tobias Barthel, Natalia Castellana, Drew Heard +2

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…

math.AT2024

Invertible objects in Franke's comodule categories

Drew Heard

We study the Picard group of Franke's category of quasi-periodic $E_{0} E$ -comodules for $E$ a 2-periodic Landweber exact cohomology theory of height $n$ such as Morava $E$ -theory, sh…