activity
20102024
most citedClassification, Koszulity and Artin-Schelter Regularity of certain Graded Twisted Tensor Products

6 citations · 9 across the 6 of their papers we have counts for

collaborators

10 papers

math.AG2024

Algebras Associated to Inverse Systems of Projective Schemes

Andrew Conner, Peter Goetz

Artin, Tate and Van den Bergh initiated the field of noncommutative projective algebraic geometry by fruitfully studying geometric data associated to noncommutative graded algebras…

math.RA2021

Quantum projective planes as certain graded twisted tensor products

Andrew Conner, Peter Goetz

Let be an algebraically closed field. Building upon previous work, we classify, up to isomorphism of graded algebras, quadratic graded twisted tensor products of $\mat…

math.QA2018★ 6 cited

Classification, Koszulity and Artin-Schelter Regularity of certain Graded Twisted Tensor Products

Andrew Conner, Peter Goetz

Let be an algebraically closed field. We classify all of the quadratic twisted tensor products in the cases where $(A, B) = (\mathbb{k}[x], \mathbb{k}[…

math.RA2018

Noncommutative Knörrer periodicity and noncommutative Kleinian singularities

Andrew Conner, Ellen Kirkman, W. Frank Moore +1

We establish a version of Knörrer's Periodicity Theorem in the context of noncommutative invariant theory. Namely, let be a left noetherian AS-regular algebra, let be a nor…

math.RA2017

The Koszul Property for Graded Twisted Tensor Products

Andrew Conner, Peter Goetz

Let be a field. Let and be connected -graded -algebras. Let denote a twisted tensor product of and in the category of connected -graded -algebra…

math.RA2014★ 2 cited

Some non-Koszul algebras from rational homotopy theory

Andrew Conner, Peter Goetz

The McCool group, denoted , is the group of pure symmetric automorphisms of a free group of rank . The cohomology algebra was determined by Jensen,…