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# James Grieg ARTHUR

## Address:

Dept. of Mathematics

University of Toronto

Toronto, Ontario

Canada M5S 1A1

*Phone:* (1) 416-978 4524

*Fax:* (1) 416-978 4107

*E-Mail:* arthur@math.toronto.edu

## Born:

May 18, 1944, Hamilton, Canada

## Education:

1966 B.Sc., University of Toronto

1967 M.Sc., University of Toronto

1970 Ph.D., Yale University

## Positions:

1970 - 1972 Instructor, Princeton University

1972 - 1976 Assistant Professor, Yale University

1976 - 1978 Professor, Duke University

1978 - Professor, Department of Mathematics, University of Toronto

1987 - University Professor, University of Toronto

## Selected Awards, Honours and Distinctions:

1974 - 1975 University Junior Faculty Fellowship, Yale
(held at Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France)

1975 - 1977 Sloan Fellowship
(held at Institute for Advanced Study, Princeton)

1980 Elected Fellow of the Royal Society of Canada

1982 E.W.R. Steacie Memorial Fellowship

1983 Invited Lecturer for International Congress of
Mathematicians, Warsaw

1987 Synge Award (of Royal Society of Canada)

1992 Elected Fellow of the Royal Society of London

## Research Interests:

Representation theory, automorphic forms, number theory

## Selected Publications:

- On a family of distributions obtained from Eisenstein
series II: Explicit formulas

Amer. J. Math. 104 (1982) 1289-1336.

- A Paley-Wiener theorem for real reductive groups

Acta Math. l50 (l983) 1-89. - On a family of distributions obtained from orbits

Canad. J. Math. 38 (1986) 179-214. - The invariant trace formula. II. Global theory

J. Amer. Math. Soc. 1 (1988) 501-554. - The L^2-Lefschetz numbers of Hecke operators

Invent. Math. 97 (1989) 257-290. - Unipotent automorphic representations: Conjectures

Asterisque 171-172 (1989) 13-71. - A local trace formula

Pub. Math. I.H.E.S. 73 (1991) 5-96. - Simple Algebras, Base Change and the Advanced Theory of the
Trace Formula (Book, with L. Clozel)

Annals of Math. Studies, Vol. 120, 1989, Princeton University Press.