NIGEL RAY - SHORT CV

Last updated: 24 September 2008

Personal Record

Nationality:
British

Children:
Two, born 31.1.88 and 13.8.91

Education:
1966-1969 Manchester University: PhD
1963-1966 Birmingham University: BSc
1956-1963 Clee Grammar School

Membership:
London Mathematical Society
American Mathematical Society
Societe Mathematique de France
Siberian Mathematical Society
British Fulbright Scholars Association

Current Appointment:
Professor of Pure Mathematics, University of Manchester

Visiting Appointments:
1998: Visiting Professor, University of Oregon, Eugene OR, USA
1988: Visiting Professor, University of Washington, Seattle WA, USA
1972-1973: Visiting Assistant Professor, Northwestern University, Evanston IL, USA

Research Visits:
Moscow State University, Russia
Fields Research Institute, Toronto, Canada
University of Memphis, Memphis TN, USA
MIT, Boston MA, USA
USSR Academy of Science, Siberia and Georgia
Universite de Paris-sud, France
University of Chicago, Chicago IL, USA
Centro del IPN, Mexico City
Odense University, Denmark
Goettingen University, Germany

Teaching

Recent Courses:
Year 1: algebra, trees and networks, classical mechanics, sets and functions
Year 2: algebra, differential equations, discrete mathematics, graph theory
Year 3/4: differential geometry, combinatorics, elliptic functions, 4-dimensional geometry, knot theory
PG: category theory, infinite loop space theory, iterated function systems and fractal geometry
Service: algebra, analysis, calculus, differential equations

External:
I have been involved with several series of Royal Institution Masterclasses in Manchester, giving talks and organising practical classes in Geometry, Topology and General Relativity for 13 year-olds.

In 1995 I was one of the two London Mathematical Society Popular Lecturers, addressing audiences in Manchester, Edinburgh, and London on the subject of Wild Geometry; a commercial videotape was made of this lecture (which can still be rented, or purchased, from the LMS!).

Research

• Taras Panov, Nigel Ray, and Rainer Vogt, Colimits, Stanley-Reisner Algebras, and loop spaces, Proceedings of the International Conference on Algebraic Topology, Skye, 2001 (editors Greg Arone, Ran Levi, and Michael Weiss), Birkhauser (2003)
• Victor Buchstaber and Nigel Ray, Tangential structures, toric manifolds, and connected sums of polytopes, International Mathematics Research Notices 4 (2001), 193--219
• Francis Clarke, Nigel Ray, and John Hunton, Extensions of umbral calculus II; double delta operators, Leibniz extensions and Hattori-Stong theorems, Annales de L'Institut Fourier 51(2) (2001), 297--336
• Victor Buchstaber and Nigel Ray, Operations and quantum doubles in complex oriented cohomology theories, Homology, Homotopy and Applications 1 (1999), 169-185
• Nigel Ray and William Schmitt, Combinatorial models for coalgebraic structures, Advances in Mathematics 138 (1998), 211-162
• Cristian Lenart and Nigel Ray, Chromatic polynomials of partition systems, Discrete Mathematics 167-168 (1997), 419--444
• Vassily Gorbunov, Nigel Ray and Paul Turner, On the Hopf ring for symplectic oriented spectra, American Journal of Mathematics 117 (1995), 1063-1088
• Nigel Ray and William Schmitt, Ultimate chromatic polynomials, Discrete Mathematics 125 (1994), 329-341
• Vassily Gorbunov and Nigel Ray, Orientations of Spin bundles and symplectic cobordism, Publications of the Research Institute of Mathematical Science, Kyoto University 28 (1992), 39-55
• Andrew Baker, Francis Clarke, Nigel Ray and Lionel Schwartz, On the Kummer congruences and the stable homotopy of BU, Transactions of the American Mathematical Society 316 (1989), 385-432
• Brayton Gray and Nigel Ray, Splitting CP^infinity and BZ/p^n into Thom spectra, Mathematical Proceedings of the Cambridge Philosophical Socity 106 (1989), 263-271
• Nigel Ray, Umbral calculus, binomial enumeration and chromatic polynomials, Transactions of the American Mathematical Society 309 (1988), 191-213
• Nigel Ray, On a construction in bordism theory, Proceedings of the Edinburgh Mathematical Society 29 (1986), 413--422
• David Carlisle, Peter Eccles, Steven Hilditch, Nigel Ray, Lionel Schwartz, Grant Walker, and Reginald Wood, Representations of GL(n,p), splitting S(CP^infinity x...x CP^infinity), and the beta family as framed hypersurfaces, Mathematische Zeitschrift 189 (1985), 239--261
• Mark Mahowald and Nigel Ray, A note on the Thom isomorphism, Proceedings of the American Mathematical Society 82 (1981), 307-308
• Nigel Ray, Framed manifold models for the elements beta_1, Indiana University Mathematics Journal 28 (1979), 193-209
• J Peter May, Frank Quinn and Nigel Ray, E-infinity ring spectra, Lecture Notes in Mathematics 577 Springer-Verlag (1977), 63-86
• Nigel Ray, The loop group of a mapping cone, Oxford Quarterly Journal of Mathematics 24 (1973), 485-498
• Nigel Ray, A geometrical observation on the Arf invariant of a framed manifold, Bulletin of the London Mathematical Society 4 (1972), 163-164
• Nigel Ray, Indecomposables in Tors MSp, Topology 10 (1971), 261-270
• Nigel Ray and Robert Switzer, On SUxSU bordism, Oxford Quarterly Journal of Mathematics 21 (1970), 137-150

Administration

Recent Responsibilities:
I was the academic responsible for liaising with planners and architects over the design and construction of the School of Mathematics in the Alan Turing Building
I was Head of Department at VUM during the period 1998-2001
I was Head of the Pure Mathematics Unit at VUM during the period 1995-1998
I was a Departmental Admissions Officer throughout the 1980s, and a member of VUM Senate and VUM Court for much of the 1990s

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