**Helices and vector bundles: Seminaire Rudakov**, translation (from Russian) with P. Kobak and A. Maciocia,*L.M.S. Lec. Note Ser.***148**, C.U.P. 1990.**The deformation theory of anti-self-dual conformal structures**, with D. Kotschick,*Math. Annalen***294**(1992) 591-609.**Moduli of representations of finite dimensional algebras**,*Quarterly J. Math. Oxford***45**(1994) 515-530.**On Chow rings of fine moduli spaces of modules**, with C. Walter,

*J. Reine Angew. Math.***461**(1995) 179-187.**Moduli of Brill-Noether pairs on algebraic curves**, with P. Newstead,

*International J. Math.***6**(1995) 733-748.**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.**On the cohomology ring of the moduli space of rank 2 vector bundles on a curve**, with P. Newstead,

*Topology***37**(1998) 407-418.**Minimal resolutions of algebras**, with M.C.R. Butler,*J. Algebra***212**(1999) 323-362. (on-line)**Random walks and Catalan factorization**, with O. Egecioglu,*Congressus Numerantium***138**(1999) 129-140. (preprint as PDF)**Rationality of moduli of vector bundles on curves**, with A. Schofield,*Indagationes Mathematicae***10**(1999) 519-535. (on-line; preprint as PDF)**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 as PDF)**Torsion waves in metric-affine field theory**, with D. Vassiliev,

*Class. Quantum Grav.***18**(2001) 2317-2329. (on-line; preprint as PDF)**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 as PDF)**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 as PDF)**Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multiratios**, with W. Schief,

*J.Phys.A: Math.Gen.***36**(2003) 785-802. (on-line; preprint as PDF)**Irreducible maps and bilinear forms**, with S. Brenner and M. Butler,

*Linear Algebra and its Applications***365**(2003) 99-105. (on-line)**Homological algebra of twisted quiver bundles**, with P. Gothen,

*J. London Math. Soc.***71**(2005) 85-99. (on-line; preprint on arXiv)**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)**A functorial construction of moduli of sheaves**, with L. Alvarez-Consul,

*Invent. Math.***168**(2007) 613-666. (on-line; preprint on arXiv)**Moduli of sheaves from moduli of Kronecker modules**, with L. Alvarez-Consul,

*LMS Lect. Note Ser.***359**(2009) 212-228. (PDF)**Clifford lattices and a conformal generalization of Desargues' theorem**, with W. Schief,

*J. Geom. Phys.***62**(2012) 1088-1096. (on-line)**On the Mobius geometry of Euclidean triangles**with U. Hertrich-Jeromin and J. O'Hara,

*Elem. Math.***68**(2013) 96-114. (on-line)**Exchange graphs and Ext quivers**, with Y. Qiu,

*Adv. Math.***285**(2015) 1106-1154. (on-line; preprint on arXiv)**Bianchi hypercubes and a geometric unification of the Hirota and Miwa equations**, with W. Schief,

*Int.Math.Res.Not.***2015**(2015) 6842-6878. (on-line)**On the magnitude of a finite dimensional algebra**with J. Chuang and T. Leinster,

*Theory Appl. Categ.***31**(2016) 63-72. (on-line)**A categorification of Grassmannian cluster algebras**, with B.T. Jensen and X. Su,

*Proc. L.M.S.***113**(2016) 185-212 (on-line; preprint on arXiv)**Dimer models and cluster categories of Grassmannians**, with K. Baur and R.J. Marsh,

*Proc. L.M.S.***113**(2016) 213-260 (on-line; preprint on arXiv)**Labelled seeds and the mutation group**, with M. Pressland,

*Math. Proc. Cam. Phil. Soc.***163**(2017) 193-217 (on-line; preprint on arXiv)**Free resolutions of algebras**, with J. Chuang,

(preprint on arXiv)

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

Updated [an error occurred while processing this directive]