STEVEN RAYAN

Assistant Professor, Department of Mathematics & Statistics, University of Saskatchewan
Office 209, McLean Hall, 106 Wiggins Road, Saskatoon, SK, S7N 5E6, CANADA



rayan (at) math.usask.ca | Dept of Math & Stats | U of S


  14. Spectral curves for the triple reduced product of coadjoint orbits for SU(3) (with J. Hurtubise, L. Jeffrey, P. Selick, J. Weitsman) 13. Abstract integrable systems on hyperkähler manifolds arising from Slodowy slices (with P. Crooks) 12. Ginzburg-Landau equations on Riemann surfaces of higher genus (with D. Chouchkov, N. Ercolani, and I. M. Sigal) 11. A vanishing theorem for co-Higgs bundles on the moduli space of bundles (with I. Biswas) 10. The triple reduced product and Hamiltonian flows (with L. Jeffrey, G. Seal, P. Selick, J. Weitsman)
  • Year | 2017
  • Status | Accepted, to appear in Proceedings of the XXXV Workshop on Geometric Methods in Physics
  • Code | GitHub:ReducedProduct/Triple
9. The quiver at the bottom of the twisted nilpotent cone on P1 8. Some results on equivariant contact geometry for partial flag varieties (with P. Crooks)
  • Year | 2016
  • arXiv | math.RT/AG/DG: 1505.03127
  • Journal | Internat. J. Math. 27 (2016), no. 8, 1650066, 13 pp.
  • DOI |10.1142/S0129167X1650066X
7. Hyperpolygons and Hitchin systems (with J. Fisher)
  • Year | 2016
  • arXiv | math.AG/SG: 1410.6467
  • Journal | Int. Math. Res. Notices IMRN (2016), no. 6, 1839--1870
  • DOI | 10.1093/imrn/rnv172
6. Introduction to nonabelian Hodge theory: flat connections, Higgs bundles, and complex variations of Hodge structure (with A. García-Raboso)
  • Year | 2015
  • arXiv | math.CV/AG/DG: 1406.1693
  • Journal | Fields Inst. Monogr. 34 (2015), 131--171
  • ISBN | 978-1-4939-2829-3
5. Constructing co-Higgs bundles on CP2
  • Year | 2014
  • arXiv | math.AG/DG: 1309.7014
  • Journal | Q. J. Math. 65 (2014), no. 4, 1437--1460
  • DOI | 10.1093/qmath/hau017
4. Co-Higgs bundles on P1
  • Year | 2013
  • arXiv | math.AG/DG: 1010.2656
  • Journal | New York J. Math. 19 (2013), 925--945
  • ISSN | 1076-9803/2013
3. Geometry of co-Higgs bundles 2. Moduli of anti-Higgs bundles over the projective line
  • Year | 2008
  • Dissertation | Transfer of Status Thesis (Oxford)
1. Particle dynamics in Kerr-Newman-de Sitter spacetimes  

You can find my works on the arXiv, Google Scholar, and ORCiD.