36 citations · 162 across the 31 of their papers we have counts for
34 papers
A non-spatial frame of smashing ideals
Tobias Barthel, Drew Heard
We construct commutative rings whose derived categories have non-spatial frames of smashing ideals, thereby answering in the negative questions of Balchin--Stevenson and Aoki.
Local Bousfield classes via homological support
Tobias Barthel, Natalia Castellana, Drew Heard +2
Given an object in a big tensor-triangulated category, we study the homological and cohomological Bousfield classes of the associated localization: the tensor-triangulated cate…
A point-free approach to the Nakaoka spectrum of a Tambara functor
Drew Heard
For a finite group and a -Tambara functor, we construct the frame of radical Tambara ideals and show that its points are the Nakaoka primes. We sho…
The formal spectrum of a tensor-triangulated category
Drew Heard, Marius Nielsen
To any essentially small tensor-triangulated category and Thomason subset we associate a ringed space $(\mathrm{Spf}(\mathcal{…
Homological stratification and descent
Tobias Barthel, Drew Heard, Beren Sanders +1
We introduce a notion of stratification for rigidly-compactly generated tensor-triangulated categories relative to the homological spectrum and develop the fundamental features of…
The spectrum of excisive functors
Gregory Arone, Tobias Barthel, Drew Heard +1
We prove a thick subcategory theorem for the category of -excisive functors from finite spectra to spectra. This generalizes the Hopkins-Smith thick subcategory theorem (the $d=…