17 citations · 48 across the 20 of their papers we have counts for
31 papers
On an ideal membership problem
Melvin Hochster, Jack Jeffries, Nawaj KC +1
Suppose are elements of a regular ring , where . The first author proved that ;…
The variety of nilpotent matrices is -regular
Jack Jeffries, Vaibhav Pandey, Anurag K. Singh
We give an elementary proof that the coordinate ring of the variety of nilpotent matrices is -regular; over an infinite field , this ring also arises as the nullcone for the…
Regularity is bounded on a quasi-excellent Noetherian scheme
Alessandro De Stefani, Jack Jeffries, Nawaj KC +1
A point of a scheme has an associated tangent cone, the spectrum of a standard graded algebra encoding the local singularity. Its homological complexity can be measured by its grad…
Local cohomology of modular invariant rings
Kriti Goel, Jack Jeffries, Anurag K. Singh
For a field, consider a finite subgroup of with its natural action on the polynomial ring . Let denote the homo…
When are the natural embeddings of classical invariant rings pure?
Melvin Hochster, Jack Jeffries, Vaibhav Pandey +1
Consider a reductive linear algebraic group acting linearly on a polynomial ring over an infinite field; key examples are the general linear group, the symplectic group, th…
Resolutions of differential operators of low order for an isolated hypersurface singularity
Rachel N. Diethorn, Jack Jeffries, Claudia Miller +4
In this paper we develop a new approach for studying differential operators of an isolated singularity graded hypersurface ring defining a surface in affine three-space over a…