Alastair King

Prof

  • 4 WEST 3.46

20012018
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Personal profile

Research interests

My research is at the interface of algebra, geometry and theoretical physics, in what is often now described as non-commutative algebraic geometry.

A particular focus has been on moduli spaces of, and derived equivalences between, coherent sheaves and representations of algebras.

More recently I have become interested in cluster algebras, their associated categories and their relationship with dimer models, as studied in string theory.

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

  • 3 Similar Profiles
Algebra Mathematics
Cluster Algebra Mathematics
Quiver Mathematics
Grassmannian Mathematics
Cluster Category Mathematics
Dimer Mathematics
Categorification Mathematics
Differential Graded Algebra Mathematics

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Research Output 2001 2018

1 Citation (Scopus)

Inhibition Delay Increases Neural Network Capacity through Stirling Transform

Nogaret, A. & King, A., 31 Mar 2018, In : Physical Review E. 97, 3, p. 1-4 4 p., 030301(R).

Research output: Contribution to journalArticle

Open Access
File
Neural Networks
Transform
Associative Memory
Storage Capacity
Asymptotic Formula
1 Citation (Scopus)

Labelled seeds and the mutation group

King, A. & Pressland, M., 1 Sep 2017, In : Mathematical Proceedings of the Cambridge Philosophical Society. 163, 2, p. 193-217 25 p.

Research output: Contribution to journalArticle

Open Access
Mutation
Groupoid
Groupoids
Quiver
Subgroup
5 Citations (Scopus)

A categorification of Grassmannian cluster algebras

Jensen, B. T., King, A. D. & Su, X., 2 Aug 2016, In : Proceedings of the London Mathematical Society. 113, 2, p. 185-212

Research output: Contribution to journalArticle

Open Access
Categorification
Cluster Algebra
Grassmannian
Ring
Cohen-Macaulay Module
9 Citations (Scopus)

Dimer models and cluster categories of Grassmannians

Baur, K., King, A. D. & Marsh, R. J., 1 Aug 2016, In : Proceedings of the London Mathematical Society. 113, 2, p. 213-260 48 p.

Research output: Contribution to journalArticle

Open Access
Cluster Category
Model Category
Grassmannian
Dimer
Algebra

On the magnitude of a finite dimensional algebra

Chuang, J., King, A. & Leinster, T., 7 Jan 2016, In : Theory and Applications of Categories. 31, 3, p. 63-72

Research output: Contribution to journalArticle

Open Access
Finite Dimensional Algebra
Enriched Category
Module
Invariant
Associative Algebra

Thesis

Exchange graphs and stability conditions for quivers

Author: Qiu, Y., 1 Sep 2011

Supervisor: King, A. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Frobenius categorification of cluster algebras

Author: Pressland, M., 30 Sep 2015

Supervisor: King, A. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Orbifolds, Cohen-Macaulay modules and cluster categories

Author: Collins, A., 29 Feb 2016

Supervisor: King, A. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Parabolic Projection and Generalized Cox Configurations

Author: Noppakaew, P., 29 Jan 2014

Supervisor: Calderbank, D. (Supervisor) & King, A. (Supervisor)

Student thesis: Doctoral ThesisPhD

File