3 papers
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, EloÃsa 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.AC2025
Koszul homomorphisms and universal resolutions in local algebra
Benjamin Briggs, James C. Cameron, Janina C. Letz +1
We define a local homomorphism to be Koszul if its derived fiber is formal, and if is Koszul in the cla…