Publications (19)
McKay Correspondence for semisimple Hopf actions on regular graded algebras, I
Kenneth Chan, Ellen Kirkman, Chelsea Walton +1
In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin-Schelter regular…
McKay Correspondence for semisimple Hopf actions on regular graded algebras, II
Kenneth Chan, Ellen Kirkman, Chelsea Walton +1
We continue our study of the McKay Correspondence for grading preserving actions of semisimple Hopf algebras H on (noncommutative) Artin-Schelter regular algebras A. Here, we estab…
Log terminal orders are numerically rational
Kenneth Chan
Noncommutative surfaces finite over their centres can be realised as orders over surfaces. The aim of this paper is to present a noncommutative generalisation of rational singulari…
Modules of constant Jordan type, pullbacks of bundles and generic kernel filtrations
Shawn Baland, Kenneth Chan
Let denote the group algebra of an elementary abelian -group of rank over an algebraically closed field of characteristic . We investigate the functors $\mathcal{F}_…
Rational curves and ruled orders on surfaces
Daniel Chan, Kenneth Chan
We study ruled orders. These arise naturally in the Mori program for orders on projective surfaces and morally speaking are orders on a ruled surface ramified on a bisection and po…
Discriminants and Automorphism Groups of Veronese subrings of skew polynomial rings
Kenneth Chan, Alexander Young, James Zhang
We study important invariants and properties of the Veronese subalgebras of -skew polynomial rings, including their discriminant, center and automorphism group, as well as cance…
Ozone groups and centers of skew polynomial rings
Kenneth Chan, Jason Gaddis, Robert Won +1
We introduce the ozone group of a noncommutative algebra , defined as the group of automorphisms of which fix every element of its center. In order to initiate the study of…
Reflexive hull discriminants and applications
Kenneth Chan, Jason Gaddis, Robert Won +1
We introduce the reflexive hull discriminant as a tool to study noncommutative algebras that are finitely generated, but not necessarily free, over their centers. As an example, we…
Ozone groups of Artin--Schelter regular algebras satisfying a polynomial identity
Kenneth Chan, Jason Gaddis, Robert Won +1
We study the ozone group of noetherian Artin--Schelter regular algebras satisfying a polynomial identity (or PI for short). The ozone group was shown in previous work by the author…
Quantum binary polyhedral groups and their actions on quantum planes
Kenneth Chan, Ellen Kirkman, Chelsea Walton +1
We classify quantum analogues of actions of finite subgroups G of SL_2(k) on commutative polynomial rings k[u,v]. More precisely, we produce a classification of pairs (H,R), where…
The minimal model program for b-log canonical divisors and applications
Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey +8
We discuss the minimal model program for b-log varieties, which is a pair of a variety and a b-divisor, as a natural generalization of the minimal model program for ordinary log va…
Structurally Different Neural Network Blocks for the Segmentation of Atrial and Aortic Perivascular Adipose Tissue in Multi-centre CT Angiography Scans
Ikboljon Sobirov, Cheng Xie, Muhammad Siddique +26
Since the emergence of convolutional neural networks (CNNs) and, later, vision transformers (ViTs), deep learning architectures have predominantly relied on identical block types w…
Maximal orders in unramified central simple algebras
Benjamin Antieau, Kenneth Chan
Using depth of coherent sheaves on noetherian algebraic stacks, we construct non-Azumaya maximal orders in unramified central simple algebras over schemes of dimension at least …
Hopf actions and Nakayama automorphisms
Kenneth Chan, Chelsea Walton, James Zhang
Let H be a Hopf algebra with antipode S, and let A be an N-Koszul Artin-Schelter regular algebra. We study connections between the Nakayama automorphism of A and S^2 of H when H co…
Noncommutative cyclic isolated singularities
Kenneth Chan, Alexander Young, James Zhang
The question of whether a noncommutative graded quotient singularity is isolated depends on a subtle invariant of the -action on , called the pertinency. We prove a par…
Discriminant Formulas and Applications
Kenneth Chan, Alexander Young, James Zhang
We solve two conjectures of Ceken-Palmieri-Wang-Zhang concerning discriminants and give some applications.
Hopf actions on filtered regular algebras
Kenneth Chan, Chelsea Walton, Yanhua Wang +1
We study finite dimensional Hopf algebra actions on so-called filtered Artin-Schelter regular algebras of dimension n, particularly on those of dimension 2. The first Weyl algebra…
Log-ozone groups and centers of polynomial Poisson algebras
Kenneth Chan, Jason Gaddis, Robert Won +1
In previous work, the authors introduced the ozone group of an associative algebra as the subgroup of automorphisms which fix the center pointwise. The authors studied PI skew poly…
On Prior Confidence and Belief Updating
Kenneth Chan, Gary Charness, Chetan Dave +1
We experimentally investigate how confidence over multiple priors affects belief updating. Theory predicts that the average Bayesian posterior is unaffected by confidence over mult…