(Photo: Andrew Kobos) |

## PERSONAL

Born:November 28, 1941, Great BritainCitizenship:Canadian

## ACADEMIC CREDENTIALS

B.A.University of Saskatchewan, Department of Mathematics

(with Great Distinction)

1962M.A.University of Toronto, Department of Mathematics1964Ph.D.University of Toronto, Department of Mathematics1966

## Honours

Fellow of the Royal Society of Canada1980Coxeter-James Lectureship, Canadian Mathematical Society1978Japan Society for the Promotion of Science Fellowship1981Awarded the 1994-96 Eugene Wigner Medal (jointly with V. Kac) for "work on affine Lie algebras that has influenced many areas of theoretical physics", Int. Committee for Group Theoretical Methods in Math. & Physics.

1994Jeffrey-William Lectureship, Canadian Mathematical Society1995Ireland Lectureship for 1995, University of New Brunswick1995Kaplan Award for Science, Univeristy of Alberta1996Britten Lectureship: Delivered the 1996 (four lectures),

McMaster University

1996Alberta Science and Technology Award for Outstanding Research1996Frontiers of Mathematics Lectureship, Texas A&M University1998CRM/Fields Institute Prize1998Officer of the Order of Canada1999Docteur Honoris Causa, Université de Montréal2000Lansdowne Professorship, University of Victoria2004Golden Jubilee Professorship, Benares Hindu University, Varanasi2004

## ACADEMIC APPOINTMENTS

Assistant Professor, Department of Mathematics,

University of Saskatchewan1966Associate Professor, tenured, Department of Mathematics, University of Saskatchewan1970Full Professor, Department of Mathematics,

University of Saskatchewan1976Full Professor, 1989, Department of Mathematics,

University of Alberta1989Assistant Professor, New Mexico State University, Las Cruces1967-1968Mathematisches Institüt, Universität BonnJuly 1973-

June 1974Guest Professor, Gesamthochschule Wuppertal,

and Université de Paris VIJan. 1979-

June 1979Centre de Recherche de Mathematiques Appliquées, Montréal,1983-1984Professor, Concordia University, Montreal1984-1986Guest Professor, Tata Institute for Mathematics, BombayAutumn

1987Member of the Aspen Institute for Physics1982, 1983,

1984, 1986,

1987, 1990,

1997

## THESES SUPERVISED

N. StrungaruPh.D.began

Sept. 2001D. PostnikovM.Sc.The pinwheel tilingto be

completed 2004J.-Y. LeePh.D.Aperiodic Order and substitution systemsin progressStephen SullivanM.Sc.Invariants for model sets2001J.-Y. LeeM.Sc.Lattice substitution systems1999P. WiebeM.Sc.The mathematics of diffraction1998J. BlissPh.D.Axioms for infinite root systems1993P. CheckM.Sc.A connection between von Neumann algebras and Coxeter graphs1993L. ChenPh.D.Differential operator Lie algebras on Laurent polynomial rings1993Y. YoshiiM.Sc.A survey of Kazhdan-Lusztig conjectures1993Z. ShiPh.D.Graded groups and toroidal groups1991K. LiuPh.D.The quantum Witt algebra and quantizations of some modules over the Witt algebra1991M. FabbriPh.D.Generalized Heisenberg algebras and their vertex operator representations1991Z. ShiM.Sc.Invariants of Weyl groups1989A. PianzolaPh.D.Elements of finite order in Lie groups1984A. PianzolaM.Sc.Isomorphically representable Lie algebras1981H.-P. TsaiM.Sc.Classification of real simple Lie algebras by infinite dimensional Lie algebras1981K.L. TeoPh.D.Modular Euclidean Lie algebras1973Y.P. HawM.Sc.The theory of buildings1972J. SwiftM.Sc.Cayley projective planes1970K.L. TeoM.Sc.Chevalley groups1970C.K. LimM.Sc.On root systems associated with generalized Cartan matrices1967

## RECENT PROFESSIONAL EXPERIENCE

Scientific Director Banff International Research Station

for Mathematical Innovation and Discovery2001-2003Organizer: Oberwolfach Workshop on Aperiodic Order2001Organizer: Algebra 2000, PIMS Summer School, University of Alberta2000PIMS Scientific Review Panel1997-presentOrganizer: Oberwolfach Workshop on Aperiodic Order1998Organizer: Thematic program on aperiodic order, Fields Institute for Research in Mathematical Sciences,1995Organizer: NATO Advanced Study Institute, Fields Institute for Research in Mathematical Sciences1995Scientific Advisory Board, Centre de Recherches de Mathematique, University de Montréal1993-1996Scientific Advisory Panel, Fields Institute for Research in Mathematical Sciences1993-1998Editorial Board,Nova Journal of Algebra and Geometry1992-1998Publications Committee of the Canadian Mathematical Society1982-1985

1988-1990Council, Academy of Science, Royal Society of Canada1990-1993Member of the Board of the Fields Institute for Research in Mathematics1988-1991Chairman, Review Committee, Department of Mathematics and Statistics1990Editorial Boards,Canadian Journal of MathematicsandCanadian Mathematics Bulletin1989-1990

(Photo: Andrew Kobos)