49 citations · 176 across the 20 of their papers we have counts for
30 papers
Approximating triangulated categories by spaces
Sira Gratz, Greg Stevenson
We initiate a systematic study of lattices of thick subcategories for arbitrary essentially small triangulated categories. To this end we give several examples illustrating the var…
Big categories, big spectra
Scott Balchin, Greg Stevenson
We introduce a new topological invariant of a rigidly-compactly generated tensor-triangulated category and two new notions of support. The first is based on smashing subcategories:…
Homological residue fields as comodules over coalgebras
James C. Cameron, Greg Stevenson
We explicitly present homological residue fields for tensor triangulated categories as categories of comodules in a number of examples across algebra, geometry, and topology. Our r…
Relative stable categories and birationality
Paul Balmer, Greg Stevenson
We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligi…
Proper connective differential graded algebras and their geometric realizations
Theo Raedschelders, Greg Stevenson
We prove that every proper connective DG-algebra admits a geometric realization (as defined by Orlov) by a smooth projective scheme with a full exceptional collection. As a cor…
Homotopy invariants of singularity categories
Sira Gratz, Greg Stevenson
We present a method for computing -homotopy invariants of singularity categories of rings admitting suitable gradings. Using this we describe any such invariant, e.g.…