122 citations · 1.3k across the 93 of their papers we have counts for
11 papers · 1 filter
An equivariant Hilbert basis theorem
Daniel Erman, Steven V Sam, Andrew Snowden
We prove a version of the Hilbert basis theorem in the setting of equivariant algebraic geometry: given a group G acting on a finite type morphism of schemes X -> S, if S is topolo…
Stability in the homology of unipotent groups
Andrew Putman, Steven V Sam, Andrew Snowden
Let be a (not necessarily commutative) ring whose additive group is finitely generated and let be the group of upper-triangular unipotent matrices over…
On the (non-)vanishing of syzygies of Segre embeddings
Luke Oeding, Claudiu Raicu, Steven V Sam
We analyze the vanishing and non-vanishing behavior of the graded Betti numbers for Segre embeddings of products of projective spaces. We give lower bounds for when each of the row…
Some generalizations of Schur functors
Steven V Sam, Andrew Snowden
The theory of Schur functors provides a powerful and elegant approach to the representation theory of GL_n - at least to the so-called polynomial representations - especially to qu…
Noetherian properties in representation theory
Steven V Sam
The goal of this expository article, based on a lecture I gave at the 2016 ICRA, is to explain some recent applications of "categorical symmetries" in topology and algebraic geomet…
Hilbert series for twisted commutative algebras
Steven V Sam, Andrew Snowden
Suppose that for each n >= 0 we have a representation of the symmetric group S_n. Such sequences arise in a wide variety of contexts, and often exhibit uniformity in some way…