Rohit Nagpal

activity

20152021

most citedFI-modules and the cohomology of modular representations of symmetric groups

50 citations · 54 across the 2 of their papers we have counts for

collaborators

7 papers

math.AC2021★ 4 cited

Symmetric ideals of the infinite polynomial ring

Rohit Nagpal, Andrew Snowden

Let $R = C [ξ_{1}, ξ_{2}, \dots]$ be the infinite variable polynomial ring, equipped with the natural action of the infinite symmetric group $S$ . We classify the $\math…

math.AG2020

Symmetric subvarieties of infinite affine space

Rohit Nagpal, Andrew Snowden

We classify the subvarieties of infinite dimensional affine space that are stable under the infinite symmetric group. We determine the defining equations and point sets of these va…

math.RT2019

The semi-linear representation theory of the infinite symmetric group

Rohit Nagpal, Andrew Snowden

We study the category $A$ of smooth semilinear representations of the infinite symmetric group over the field of rational functions in infinitely many variables. We estab…

math.RT2018

VI modules in non-describing characteristic, Part II

Rohit Nagpal

We classify all irreducible generic $VI$ -modules in non-describing characteristic. Our result degenerates to yield a classification of irreducible generic $FI$ -mo…

math.AT2018

Stability in the high-dimensional cohomology of congruence subgroups

Jeremy Miller, Rohit Nagpal, Peter Patzt

We prove a representation stability result for the codimension-one cohomology of the level three congruence subgroup of $SL_{n} (Z)$ . This is a special case of a que…

math.AC2016

Gröbner coherent rings and modules

Rohit Nagpal, Andrew Snowden

Let $R$ be a graded ring. We introduce a class of graded $R$ -modules called Gröbner-coherent modules. Roughly, these are graded $R$ -modules that are coherent as ungraded modules be…