Alastair King

Prof

  • 4 WEST 3.46

20012019
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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.

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  • 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 2019

Decomposing the Tube Category

Hardiman, L. & King, A., 17 Jun 2019, In : Glasgow Mathematical Journal. 18 p.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)
31 Downloads (Pure)

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
9 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
12 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

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