Nationality Canadian Fields Mathematics | Role Mathematician Name James Arthur | |
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Born May 18, 1944 (age 79)
Hamilton, Ontario, Canada ( 1944-05-18 ) Institutions Yale University
Duke University
University of Toronto Alma mater University of Toronto
Yale University Thesis Analysis of Tempered Distributions on Semisimple Lie Groups of Real Rank One (1970) Doctoral students David DeGeorge
Jason Levy
Peter Mischenko Known for Arthur–Selberg trace formula
Arthur conjectures Books The Endoscopic Classification of Representations: Orthogonal and Symplectic Groups Awards Wolf Prize in Mathematics, CRM-Fields-PIMS prize, Guggenheim Fellowship for Natural Sciences, US & Canada Education Yale University (1970), University of Toronto (1967) Similar People Robert Langlands, Diana Shelstad, Wilfried Schmid, Richard Taylor, Gerard Laumon | ||
Doctoral advisor Robert Langlands | ||
James arthur beyond endoscopy and elliptic terms in the trace formula
James Greig Arthur (born May 18, 1944) is a Canadian mathematician working on harmonic analysis, and former President of the American Mathematical Society. He is currently in the Mathematics Department of the University of Toronto.
Born in Hamilton, Ontario, Arthur received a B.Sc. from the University of Toronto in 1966, and a M.Sc. from the same institution in 1967. He received his Ph.D. from Yale University in 1970. Arthur taught at Yale from 1970 until 1976. He joined the faculty of Duke University in 1976. He has been a professor at the University of Toronto since 1978. He was four times a visiting scholar at the Institute for Advanced Study between 1976 and 2002.
A pupil of Langlands, he is known for the Arthur–Selberg trace formula, generalizing the Selberg trace formula from the rank-one case (due to Selberg himself) to general reductive groups, one of the most important tools for research on the Langlands program. He also introduced the Arthur conjectures.
In 1981, he was made a Fellow of the Royal Society of Canada. In 1992 he was elected a Fellow of the Royal Society He was elected a Foreign Honorary Member of the American Academy of Arts and Sciences in 2003. In 2012 he became a fellow of the American Mathematical Society.