NIGEL RAY  SHORT CV
Last updated: 24 September 2008
Personal Record
Nationality:
British
Children:
Two, born 31.1.88 and 13.8.91
Education:
19661969 Manchester University: PhD
19631966 Birmingham University: BSc
19561963 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
19721973: 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 Parissud, 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, 4dimensional 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 yearolds.
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
Selected Publications:

Taras Panov, Nigel Ray, and Rainer Vogt, Colimits,
StanleyReisner 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), 193219

Francis Clarke, Nigel Ray, and John Hunton, Extensions of
umbral calculus II; double delta operators, Leibniz extensions and
HattoriStong theorems, Annales de L'Institut Fourier 51(2)
(2001), 297336

Victor Buchstaber and Nigel Ray, Operations and quantum doubles in complex oriented cohomology theories, Homology, Homotopy and Applications 1 (1999), 169185

Nigel Ray and William Schmitt, Combinatorial models for
coalgebraic structures, Advances in Mathematics 138 (1998), 211162

Cristian Lenart and Nigel Ray, Chromatic polynomials of partition systems, Discrete Mathematics 167168 (1997), 419444

Vassily Gorbunov, Nigel Ray and Paul Turner, On the Hopf ring for symplectic oriented spectra, American Journal of Mathematics 117 (1995), 10631088

Nigel Ray and William Schmitt, Ultimate chromatic polynomials, Discrete Mathematics 125 (1994), 329341

Vassily Gorbunov and Nigel Ray, Orientations of Spin bundles and symplectic cobordism, Publications of the Research Institute of Mathematical Science, Kyoto University 28 (1992), 3955

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), 385432

Brayton Gray and Nigel Ray, Splitting CP^infinity and BZ/p^n into Thom spectra, Mathematical Proceedings of the Cambridge Philosophical Socity 106 (1989), 263271

Nigel Ray, Umbral calculus, binomial enumeration and chromatic polynomials, Transactions of the American Mathematical Society 309 (1988), 191213

Nigel Ray, On a construction in bordism theory, Proceedings of the Edinburgh Mathematical Society 29 (1986), 413422

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), 239261

Mark Mahowald and Nigel Ray, A note on the Thom isomorphism, Proceedings of the American Mathematical Society 82 (1981), 307308

Nigel Ray, Framed manifold models for the elements beta_1, Indiana University Mathematics Journal 28 (1979), 193209

J Peter May, Frank Quinn and Nigel Ray, Einfinity ring spectra, Lecture Notes in Mathematics 577 SpringerVerlag (1977), 6386

Nigel Ray, The loop group of a mapping cone, Oxford Quarterly
Journal of Mathematics 24 (1973), 485498

Nigel Ray, A geometrical observation on the Arf invariant of a framed manifold, Bulletin of the London Mathematical Society 4 (1972), 163164

Nigel Ray, Indecomposables in Tors MSp, Topology 10 (1971), 261270

Nigel Ray and Robert Switzer, On SUxSU bordism, Oxford Quarterly Journal of Mathematics 21 (1970), 137150
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 19982001
I was Head of the Pure Mathematics Unit at VUM during the period 19951998
I was a Departmental Admissions Officer throughout the 1980s, and a
member of VUM Senate and VUM Court for much of the 1990s
Return to
Nige Ray's homepage.