181 citations · 368 across the 15 of their papers we have counts for
10 papers · 1 filter
On the geometry and representation theory of isomeric matrices
Rohit Nagpal, Steven V Sam, Andrew Snowden
The space of complex matrices can be regarded as an algebraic variety on which the group acts. There is a rich interaction between geome…
Periodicity in the cohomology of finite general linear groups via q-divided powers
Rohit Nagpal, Steven V Sam, Andrew Snowden
We show that canonically admits the structure of a module over the -divided power algebra (assuming …
The semi-linear representation theory of the infinite symmetric group
Rohit Nagpal, Andrew Snowden
We study the category of smooth semilinear representations of the infinite symmetric group over the field of rational functions in infinitely many variables. We estab…
VI modules in non-describing characteristic, Part II
Rohit Nagpal
We classify all irreducible generic -modules in non-describing characteristic. Our result degenerates to yield a classification of irreducible generic -mo…
modules in non-describing characteristic, Part I
Rohit Nagpal
Let be the category of finite dimensional -vector spaces whose morphisms are injective linear maps, and let be a noetherian ring. We study…
Linear and quadratic ranges in representation stability
Thomas Church, Jeremy Miller, Rohit Nagpal +1
We prove two general results concerning spectral sequences of -modules. These results can be used to significantly improve stable ranges in a large portion of the stab…
Periodicity in the cohomology of symmetric groups via divided powers
Rohit Nagpal, Andrew Snowden
A famous theorem of Nakaoka asserts that the cohomology of the symmetric group stabilizes. The first author generalized this theorem to non-trivial coefficient systems, in the form…
Noetherianity of some degree two twisted skew-commutative algebras
Rohit Nagpal, Steven V Sam, Andrew Snowden
A major open problem in the theory of twisted commutative algebras (tca's) is proving noetherianity of finitely generated tca's. For bounded tca's this is easy, in the unbounded ca…
FI-modules and the cohomology of modular representations of symmetric groups
Rohit Nagpal
An FI-module over a commutative ring encodes a sequence of representations of the symmetric groups over . In t…
FI-modules over Noetherian rings
Thomas Church, Jordan S. Ellenberg, Benson Farb +1
FI-modules were introduced by the first three authors in [CEF] to encode sequences of representations of symmetric groups. Over a field of characteristic 0, finite generation of an…