Alastair King : Publications and Preprints

1. The deformation theory of anti-self-dual conformal structures, with D. Kotschick,
   Math. Annalen 294 (1992) 591-609.
2. Moduli of representations of finite dimensional algebras,
   Quarterly J. Math. Oxford 45 (1994) 515-530.
3. On Chow rings of fine moduli spaces of modules, with C. Walter,
   J. Reine Angew. Math. 461 (1995) 179-187.
4. Moduli of Brill-Noether pairs on algebraic curves, with P. Newstead,
   International J. Math. 6 (1995) 733-748.
5. Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve, with V. Balaji and P. Newstead,
   Topology 36 (1997) 567-577.
6. On the cohomology ring of the moduli space of rank 2 vector bundles on a curve, with P. Newstead,
   Topology 37 (1998) 407-418.
7. Minimal resolutions of algebras, with M.C.R. Butler,
   J. Algebra 212 (1999) 323-362. (on-line)
8. Random walks and Catalan factorization, with O. Egecioglu,
   Congressus Numerantium 138 (1999) 129-140. (preprint: PS, PDF)
9. Rationality of moduli of vector bundles on curves, with A. Schofield,
   Indagationes Mathematicae 10 (1999) 519-535. (on-line; preprint: PS, PDF)
10. The McKay correspondence as an equivalence of derived categories, with T. Bridgeland and M. Reid,
    J. Amer. Math. Soc. 14 (2001) 535-554 (on-line; preprint: PS, PDF)
11. Torsion waves in metric-affine field theory, with D. Vassiliev,
    Class. Quantum Grav. 18 (2001) 2317-2329. (on-line; preprint: PS, PDF)
12. Periodic algebras which are almost Koszul, with S. Brenner and M.C.R. Butler,
    Algebras and Representation Theory 5 (2002) 331-367. (on-line; preprint: PDF)
13. On the homology of free 2-step nilpotent Lie algebras, with P. Tirao and J. Grassberger,
    J. Algebra 254 (2002) 213-225. (on-line; preprint: PDF)
14. Irreducible maps and bilinear forms, with S. Brenner and M. Butler,
    Linear Algebra and its Applications 365 (2003) 99-105. (on-line)
15. Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multiratios, with W. Schief,
    J.Phys.A: Math.Gen. 36 (2003) 785-802. (on-line; preprint: PDF)
16. Homological algebra of twisted quiver bundles, with P. Gothen,
    J. London Math. Soc. 71 (2005) 85-99. (on-line; preprint arxiv)
17. Application of an incidence theorem for conics: Cauchy problem and integrability of the dCKP equation, with W. Schief,
    J. Phys. A 39 (2006) 1899-1913. (on-line)
18. A functorial construction of moduli of sheaves, with L. Alvarez-Consul,
    Invent. Math. 168 (2007) 613-666. (on-line; preprint arxiv)
19. Moduli of sheaves from moduli of Kronecker modules, with L. Alvarez-Consul,
    LMS Lect. Note Ser. 359 (2009) 212-228. (PDF)
20. Clifford lattices and a conformal generalization of Desargues' theorem, with W. Schief,
    in press, J. Geom. Phys. (2012). (on-line)

Unpublished

• Instantons and holomorphic bundles on the blown-up plane,
  Oxford D.Phil Thesis (1989). Copies available on request.
• A survey of Brill-Noether Theory on Algebraic Curves(1994) (PS, PDF)
• Tilting bundles on some rational surfaces(1997) (PS, PDF)