Benjamin Briggs

activity

20172026

most citedStable invariance of the restricted Lie algebra structure of Hochschild cohomology

6 citations · 15 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.AC2026

Golod ideals in combinatorial commutative algebra

Benjamin Briggs, Trung Chau, Alessandro De Stefani

In this article we study the Golod property of standard graded algebras. We show that determinantal ideals, binomial edge ideals, and permanental ideals are Golod if and only if th…

math.AC2025

The embedded deformation problem for monomial ideals

Benjamin Briggs, Eloísa Grifo, Josh Pollitz

This article is concerned with homological properties of local or graded rings whose defining relations are monomials on some regular sequence. The main result of the article posit…

math.AC2023★ 1 cited

Koszul homomorphisms and universal resolutions in local algebra

Benjamin Briggs, James C. Cameron, Janina C. Letz +1

We define a local homomorphism $(Q, k) \to (R, ℓ)$ to be Koszul if its derived fiber $R \otimes_{Q}^{L} k$ is formal, and if $Tor^{Q} (R, k)$ is Koszul in the cla…

math.AC2022★ 3 cited

Bounds on cohomological support varieties

Benjamin Briggs, Eloísa Grifo, Josh Pollitz

Over a local ring $R$ , the theory of cohomological support varieties attaches to any bounded complex $M$ of finitely generated $R$ -modules an algebraic variety $V_{R} (M)$ that encode…

math.AC2022

Cohomological jump loci and duality in local algebra

Benjamin Briggs, Daniel McCormick, Josh Pollitz

In this article a higher order support theory, called the cohomological jump loci, is introduced and studied for dg modules over a Koszul extension of a local dg algebra. The gener…

math.AC2020

Rigidity properties of the cotangent complex

Benjamin Briggs, Srikanth B. Iyengar

This work concerns maps $φ : R \to S$ of commutative noetherian rings, locally of finite flat dimension. It is proved that the André-Quillen homology functors are rigid, namely,…

math.AC2020

Constructing non-proxy small test modules for the complete intersection property

Benjamin Briggs, Eloísa Grifo, Josh Pollitz

A local ring $R$ is regular if and only if every finitely generated $R$ -module has finite projective dimension. Moreover, the residue field $k$ is a test module: $R$ is regular if…

math.AC2020

Locally complete intersection maps and the proxy small property

Benjamin Briggs, Srikanth B. Iyengar, Janina C. Letz +1

It is proved that a map $φ : R \to S$ of commutative noetherian rings that is essentially of finite type and flat is locally complete intersection if and only $S$ is proxy small…

math.AC2020

Vasconcelos' conjecture on the conormal module

Benjamin Briggs

For any ideal $I$ of finite projective dimension in a commutative noetherian local ring $R$ , we prove that if the conormal module $I / I^{2}$ has finite projective dimension over $R / I$ …