Gwyn Bellamy
Algebra group
- Room 2.233
- School of Mathematics,
- University of Manchester
- Oxford Road, Manchester M13 9PL, UK
- gwyn.bellamy[at]manchester.ac.uk
- Tel: +44 (0) 161 27 57285
- Fax: +44 (0) 161 275 5819
I am an EPSRC Postdoctoral Fellow, working with Prof. Toby Stafford in the School of Mathematics, University of Manchester. Previously, I was a PhD student under the supervision of Prof. Iain Gordon at the University of Edinburgh. If you would like to see a copy of my C.V. please send me an email.
Page contents:
Research interests
I am interested in representation theory and its interaction with geometry. In particular, I am interested in anything to do with symplectic reflection algebras (and especially rational Cherednik algebras). To date, "anything" includes symplectic algebraic geometry, D-modules, Calogero-Moser systems, algebraic combinatorics and the representation theory of certain objects of Lie type such as Hecke algebras and q-Schur algebras.
Teaching
As a postgraduate at the University of Edinburgh I was tutor for the following courses
- Autumn 2009: Mathematics for Elec/Mech Eng 3 (MAT-2-me3)
- Spring 2008: Applicable Mathematics 1 (MAT-1-af0) / Mathematical Methods 1 (MAT-1-mf0)
- Autumn 2007: Applicable Mathematics 0 (MAT-1-af0) / Mathematical Methods 0 (MAT-1-mf0)
- Spring 2007 : Mathematics for Informatics 4 (MAT-2-mi4)
- Autumn 2006 : Mathematics for Informatics 3 (MAT-2-mi3)
- 2005 - 2006 : Supervisor of first year undergraduates (University of Warwick)
Publications
- Factorization on generalized Calogero-Moser spaces, Journal of Algebra 321, 338-344. (arxiv)
- On singular Caloger-Moser spaces Bulletin of the London Mathematical Society 41(2), 315-326. (arxiv)
- Cuspidal representations of rational Cherednik algebras at t=0. Mathematische Zeitschrift 269(3-4), 609-627. (arxiv)
- The Calogero-Moser partition for G(m,d,n). (arxiv) (To appear in Nagoya Math. J.)
- Some combinatorial identities related to commuting varieties and Hilbert schemes. (arxiv, joint with V. Ginzburg and includes an appendix by E. Zoque) (To appear in Math. Ann.)
Preprints
- On Deformation Quantizations of Hypertoric Varieties. (arxiv, joint with T. Kuwabara) (submitted)
- A new linear quotient of C^4 admitting a symplectic resolution. (arxiv, joint with T. Schedler) (submitted)
- On the smoothness of centres of rational Cherednik algebras in positive characteristic. (arxiv, joint with M. Martino) (submitted)
Other work
- Generalized Calogero-Moser spaces and rational Cherednik algebras. PhD thesis, University of Edinburgh. (pdf)
- Localisation in P.I. Rings, 4th year undergraduate project, University of Warwick. (pdf)
For data on fake polynomials of complex reflection groups related to the paper On singular Calogero-Moser spaces, click here.
Useful Links
- The ArXiv
- Dave Benson's list of mathematics journals
- MathSciNet hosted by the AMS
Last Modified: 04/18/2011 13:14:45Last Modified: 10/05/2010 16:47:58