14 citations · 28 across the 8 of their papers we have counts for
5 papers · 1 filter
Higher homotopies and Golod rings
Jesse Burke
We study the homological algebra of an R = Q/I module M using A-infinity structures on Q-projective resolutions of R and M. We use these higher homotopies to construct an R-project…
Building modules from the singular locus
Jesse Burke, Lars Winther Christensen, Ryo Takahashi
A finitely generated module over a commutative noetherian ring of finite Krull dimension can be built from the prime ideals in the singular locus by iteration of three procedures:…
Matrix factorizations in higher codimension
Jesse Burke, Mark E. Walker
We observe that there is an equivalence between the singularity category of an affine complete intersection and the homotopy category of matrix factorizations over a related scheme…
The cone of Betti diagrams over a hypersurface ring of low embedding dimension
Christine Berkesch, Jesse Burke, Daniel Erman +1
We give a complete description of the cone of Betti diagrams over a standard graded hypersurface ring of the form k[x,y]/<q>, where q is a homogeneous quadric. We also provide a fi…
Finite injective dimension over rings with Noetherian cohomology
Jesse Burke
We study rings which have Noetherian cohomology under the action of a ring of cohomology operators. The main result is a criterion for a complex of modules over such a ring to have…