Alastair King

Prof

  • 4 WEST 3.46

20012019

Research output per year

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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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Research Output

Cluster exchange groupoids and framed quadratic differentials

King, A. & Qiu, Y., 6 Nov 2019, In : Inventiones Mathematicae. p. 1-45 45 p.

Research output: Contribution to journalArticle

Open Access

Decomposing the Tube Category

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

Research output: Contribution to journalArticle

Open Access

Inhibition Delay Increases Neural Network Capacity through Stirling Transform

Nogaret, A. & King, A., 9 Mar 2018, In : Physical Review E. 97, 3, p. 1-4 4 p., 030301(R).

Research output: Contribution to journalArticle

Open Access
File
  • 1 Citation (Scopus)
    45 Downloads (Pure)

    Labelled seeds and the mutation group

    King, A. & Pressland, M., 30 Sep 2017, In : Mathematical Proceedings of the Cambridge Philosophical Society. 163, 2, p. 193-217 25 p.

    Research output: Contribution to journalArticle

    Open Access
  • 1 Citation (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
  • 11 Citations (Scopus)

    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

    Module Categories and Modular Invariants

    Author: Hardiman, L., 20 Nov 2019

    Supervisor: King, A. (Supervisor) & Traustason, G. (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

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