Steven V. Sam

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20242026

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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.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.AC2025

From total positivity to pure free resolutions

Steven V Sam, Keller VandeBogert

Using the Jacobi-Trudi identity as a base, we establish parallels between the theory of totally positive integer sequences and Koszul algebras. We then focus on the case of quadric…