6 citations · 15 across the 13 of their papers we have counts for
18 papers
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…
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…
On the Hochschild Homology of Curved Algebras
Benjamin Briggs, Mark E. Walker
We compute the Hochschild homology of the differential graded category of perfect curved modules over suitable curved rings, giving what might be termed "de Rham models" for such.…
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…
Cohomology operations for moment-angle complexes and resolutions of Stanley-Reisner rings
Steven Amelotte, Benjamin Briggs
A fundamental result in toric topology identifies the cohomology ring of the moment-angle complex associated to a simplicial complex with the Koszul homology of…
Bounds on cohomological support varieties
Benjamin Briggs, Eloísa Grifo, Josh Pollitz
Over a local ring , the theory of cohomological support varieties attaches to any bounded complex of finitely generated -modules an algebraic variety that encode…
On the Lie algebra structure of integrable derivations
Benjamin Briggs, Lleonard Rubio y Degrassi
Building on work of Gerstenhaber, we show that the space of integrable derivations on an Artin algebra forms a Lie algebra, and a restricted Lie algebra if contains a field…
Product decompositions of moment-angle manifolds and -rigidity
Steven Amelotte, Benjamin Briggs
A simple polytope is called -rigid if its combinatorial type is determined by the cohomology ring of the moment-angle manifold over . We show that any ten…
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…
Maximal tori in and the fundamental group
Benjamin Briggs, Lleonard Rubio y Degrassi
We investigate maximal tori in the Hochschild cohomology Lie algebra of a finite dimensional algebra , and their connection with the fundamental groups associated to p…
Rigidity properties of the cotangent complex
Benjamin Briggs, Srikanth B. Iyengar
This work concerns maps of commutative noetherian rings, locally of finite flat dimension. It is proved that the André-Quillen homology functors are rigid, namely,…
Constructing non-proxy small test modules for the complete intersection property
Benjamin Briggs, Eloísa Grifo, Josh Pollitz
A local ring is regular if and only if every finitely generated -module has finite projective dimension. Moreover, the residue field is a test module: is regular if…
Locally complete intersection maps and the proxy small property
Benjamin Briggs, Srikanth B. Iyengar, Janina C. Letz +1
It is proved that a map of commutative noetherian rings that is essentially of finite type and flat is locally complete intersection if and only is proxy small…
Stable invariance of the restricted Lie algebra structure of Hochschild cohomology
Benjamin Briggs, Lleonard Rubio y Degrassi
We show that the restricted Lie algebra structure on Hochschild cohomology is invariant under stable equivalences of Morita type between self-injective algebras. Thereby we obtain…
Vasconcelos' conjecture on the conormal module
Benjamin Briggs
For any ideal of finite projective dimension in a commutative noetherian local ring , we prove that if the conormal module has finite projective dimension over …
Hochschild cohomology of twisted tensor products
Benjamin Briggs, Sarah Witherspoon
For a tensor product of algebras twisted by a bicharacter, we completely describe its Hochschild cohomology, as a Gerstenhaber algebra, in terms of the Hochschild cohomology of its…
Matrix Factorisations Arising From Well-Generated Complex Reflection Groups
Benjamin Briggs
We discuss an interesting duality known to occur for certain complex reflection groups, namely the duality groups. Our main construction yields a concrete, representation theoretic…
The A-infinity Centre of the Yoneda Algebra and the Characteristic Action of Hochschild Cohomology on the Derived Category
Benjamin Briggs, Vincent Gelinas
For A a dg (or A-infinity) algebra and M a module over A, we study the image of the characteristic morphism and its interaction with the higher st…