5 papers
The importance of being isolated
Scott Balchin, Juan Omar Gómez, Greg Stevenson
We give both a sufficient condition for and an obstruction to the derived category of a commutative ring being generated by its residue fields. As an illustration, we exhibit a rin…
Torsion models for tensor-triangulated categories
Scott Balchin, J. P. C. Greenlees, Luca Pol +1
Given a rigidly-compactly generated tensor-triangulated category whose Balmer spectrum is finite dimensional and Noetherian, we construct a torsion model for it, which is equivalen…
Tensor-triangular rigidity in chromatic homotopy theory
Scott Balchin, Constanze Roitzheim, Jordan Williamson
We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositi…
Classifying smashing ideals in derived categories of valuation domains
Scott Balchin, Florian Tecklenburg
Building on results of Bazzoni-Šťov\'ıÄek, we give a complete classification of the frame of smashing ideals for the derived category of a finite dimensional valuation domain.…
The combinatorics of operads for and
Scott Balchin, Ethan MacBrough, Kyle Ormsby
We provide a general recursive method for constructing transfer systems on finite lattices. Using this we calculate the number of homotopically distinct operads for dihe…