Steven V. Sam

activity

20242026

collaborators

9 papers

math.AG2026

Cohomology of complex supertori

Hargun Bhatia, Soumya Ganguly, Zhiyuan Jiang +2

We consider supertori which are quotients of affine superspace by translations by algebraically independent odd parameters. Specifically, we describe the ring structure of its spac…

math.AC2026

Powers of binary forms and derived Hermite reciprocity

Claudiu Raicu, Steven V Sam, Jerzy Weyman +1

For $a, b \geq 1$ , Hilbert found in 1886 a collection of polynomial equations that cut out set-theoretically the variety X parametrizing a-th powers of binary forms of degree b. We d…

math.RT2026

Borel-Weil factorization for super Grassmannians

Steven V Sam

This article deals with computing the cohomology of Schur functors applied to tautological bundles on super Grassmannians. We show that in a range of cases, the cohomology is a fre…

math.RT2025

Polynomial representations of the Witt Lie algebra

Steven V Sam, Andrew Snowden, Philip Tosteson

The Witt algebra W_n is the Lie algebra of all derivations of the n-variable polynomial ring V_n=C[x_1, ..., x_n] (or of algebraic vector fields on A^n). A representation of W_n is…

math.AC2025

A note on projective dimension over twisted commutative algebras

Steven V Sam, Andrew Snowden

Let $M$ be a finitely generated module over a free twisted commutative algebra $A$ that is finitely generated in degree one. We show that the projective dimension of $M (C^{n})$ …

math.RT2025

Kostant $I ¨ $ -decomposition of homology I. Finite-dimensional representations

Steven V Sam, Keller VandeBogert, Jerzy Weyman

We give explicit, uniform formulas for the graded characters and total ranks of the Lie algebra homology of finite-dimensional representations in all classical types. In many cases…