Alastair King

Prof

  • 4 WEST 3.46

20012018
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Research Output 2001 2018

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
2017
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
2016
7 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
11 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
2 Citations (Scopus)

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
2015
1 Citation (Scopus)

Bianchi hypercubes and a geometric unification of the Hirota and Miwa equations

King, A. D. & Schief, W. K., 2015, In : International Mathematics Research Notices. 2015, 16, p. 6842-6878 37 p.

Research output: Contribution to journalArticle

Open Access
Unification
Hypercube
Discrete Equations
Master Equation
Regular hexahedron
14 Citations (Scopus)

Exchange graphs and Ext quivers

King, A. & Qiu, Y., 5 Nov 2015, In : Advances in Mathematics. 285, p. 1106-1154 49 p., 5143.

Research output: Contribution to journalArticle

Open Access
File
Quiver
Derived Category
Tilting
Graph in graph theory
Cluster Category
2013

On the Möbius geometry of Euclidean triangles

Hertrich-Jeromin, U., King, A. & O'Hara, J., 2013, In : Elemente der Mathematik. 68, 3, p. 96-114

Research output: Contribution to journalArticle

Möbius
Triangle
Euclidean
Incentre
Point of symmetry
2012
2 Citations (Scopus)

Clifford lattices and a conformal generalization of Desargues' theorem

King, A. D. & Schief, W. K., May 2012, In : Journal of Geometry and Physics. 62, 5, p. 1088-1096 9 p.

Research output: Contribution to journalArticle

Open Access
File
KP Equation
projective geometry
theorems
Geometric Representation
Projective geometry
2009

Moduli of sheaves from moduli of Kronecker modules

Alvarez-Consul, L. & King, A., 2009, Moduli Spaces and Vector Bundles. Bradlow, S. B., Brambila-Paz, L., Garcia-Prada, O. & Ramanan, S. (eds.). 359 ed. Cambridge: Cambridge University Press, p. 212-228 17 p. (London Math. Soc. Lecture Note Series).

Research output: Chapter in Book/Report/Conference proceedingChapter

2007
27 Citations (Scopus)

A functorial construction of moduli of sheaves

King, A. D. & Consul, L. A., Jun 2007, In : Inventiones Mathematicae. 168, p. 613--666 54 p.

Research output: Contribution to journalArticle

2006
8 Citations (Scopus)
2005
32 Citations (Scopus)

Homological algebra of twisted quiver bundles

Gothen, P. B. & King, A. D., Feb 2005, In : Journal of the London Mathematical Society. 71, p. 85--99 15 p.

Research output: Contribution to journalArticle

2003
1 Citation (Scopus)

Irreducible maps and bilinear forms

Brenner, S., Butler, M. C. R. & King, A. D., Jan 2003, In : Linear Algebra and its Applications. 365, p. 99-105 7 p.

Research output: Contribution to journalArticle

Bilinear form
Algebra
Multiplicity
Term
Artin Algebras

Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multiratios

King, A. D. & Schief, W. K., Jan 2003, In : Journal of Physics A: Mathematical and General. 36, p. 785 1 p.

Research output: Contribution to journalArticle

2002
8 Citations (Scopus)

On the homology of free 2-step nilpotent Lie algebras

Grassberger, J., King, A. & Tirao, P., 15 Aug 2002, In : Journal of Algebra. 254, 2, p. 213-225 13 p.

Research output: Contribution to journalArticle

55 Citations (Scopus)

Periodic algebras which are almost Koszul

Brenner, S., Butler, M. C. R. & King, A. D., Oct 2002, In : Algebras and Representation Theory. 5, 4, p. 331-368 38 p.

Research output: Contribution to journalArticle

Algebra
Preprojective Algebra
Trivial Extension
Duality Theory
Quiver
2001
215 Citations (Scopus)

The McKay correspondence as an equivalence of derived categories

Bridgeland, T., King, A. & Reid, M., Mar 2001, In : Journal of the American Mathematical Society. 14, 3, p. 535-554 20 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)

Torsion waves in metric-affine field theory

Vassiliev, D. & King, A. D., 21 Jun 2001, In : Classical Quantum Gravity. 18, 12, p. 2317-2329 13 p.

Research output: Contribution to journalArticle