181 citations · 368 across the 15 of their papers we have counts for
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Symmetric modules over the infinite polynomial ring I: nilpotent quotients
Rohit Nagpal, Andrew Snowden, Teresa Yu
Cohen proved that the infinite variable polynomial ring is noetherian with respect to the action of the infinite symmetric group . The first two…
Symmetric ideals of the infinite polynomial ring
Rohit Nagpal, Andrew Snowden
Let be the infinite variable polynomial ring, equipped with the natural action of the infinite symmetric group . We classify the $\math…
Regularity of FI-modules and local cohomology
Rohit Nagpal, Steven V Sam, Andrew Snowden
We resolve a conjecture of Li and Ramos that relates the regularity of an FI-module to its local cohomology groups. This is an analogue of the familiar relationship between regular…
Gröbner coherent rings and modules
Rohit Nagpal, Andrew Snowden
Let be a graded ring. We introduce a class of graded -modules called Gröbner-coherent modules. Roughly, these are graded -modules that are coherent as ungraded modules be…
The module theory of divided power algebras
Rohit Nagpal, Andrew Snowden
We study modules for the divided power algebra in a single variable over a commutative noetherian ring . Our first result states that is a coherent ring. In fact, we sho…
Noetherianity of some degree two twisted commutative algebras
Rohit Nagpal, Steven V Sam, Andrew Snowden
In recent years, researchers have discovered various large algebraic structures that have surprising finiteness properties, such as FI-modules and Delta-modules. In this paper, we…