James Arthur (mathematician)

{{Infobox scientist

|name = James Arthur

|honorific_suffix = {{Post-nominals|country=CAN|size=100%|CC}}

|image =

|image_size = 200px

|caption =

|birth_date = {{birth date and age|1944|05|18}}

|birth_place = Hamilton, Ontario, Canada

|death_date =

|death_place =

|fields = Mathematics

|workplaces = Yale University
Duke University
University of Toronto

|alma_mater = University of Toronto (BSc, MSc)
Yale University (PhD)

|doctoral_advisor = Robert Langlands

|doctoral_students = Cristina Ballantine

|known_for = Arthur–Selberg trace formula
Arthur conjectures

|awards = John L. Synge Award (1987)
Jeffery–Williams Prize (1993)
CRM-Fields-PIMS prize (1997)
Henry Marshall Tory Medal (1997)
Gerhard Herzberg Canada Gold Medal for Science and Engineering (1999)
Wolf Prize (2015)
Leroy P. Steele Prize for Lifetime Achievement (2017)

|thesis_title = Analysis of Tempered Distributions on Semisimple Lie Groups of Real Rank One

|thesis_year = 1970

}}

James Greig Arthur {{post-nominals|country=CAN|CC|FRSC|FRS}} (born May 18, 1944){{cite web|title=James Greig Arthur|url=http://emis.kaist.ac.kr/mirror/IMU/EC/ArthurJG.html|work=International Mathematical Union|access-date=April 25, 2011|url-status=dead|archive-url=https://web.archive.org/web/20110815161739/http://emis.kaist.ac.kr/mirror/IMU/EC/ArthurJG.html|archive-date=August 15, 2011}} is a Canadian mathematician working on automorphic forms, and former President of the American Mathematical Society. He is a Mossman Chair and University Professor Emeritus at the University of Toronto Department of Mathematics.{{cite web|url= https://www.math.toronto.edu/cms/people/faculty/arthur-james/ |publisher=University of Toronto Department of Mathematics |title=Arthur, James |access-date=April 21, 2024}}

Education and career

Born in Hamilton, Ontario, Arthur graduated from Upper Canada College in 1962,{{Cite web|url=http://www.ucc.on.ca/page/news-detail?pk=1230484|title=UCC community members join Order of Canada|date=January 17, 2019|website=Upper Canada College|language=en|access-date=November 19, 2019}} received a BSc from the University of Toronto in 1966, and a MSc from the same institution in 1967. He received his PhD from Yale University in 1970. He was

a student of Robert Langlands; his dissertation was Analysis of Tempered Distributions on Semisimple Lie Groups of Real Rank One.{{mathgenealogy|id=15892}}

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.[http://www.ias.edu/people/cos/frontpage?page=5 Institute for Advanced Study: A Community of Scholars] {{webarchive|url=https://web.archive.org/web/20130106144349/http://www.ias.edu/people/cos/frontpage?page=5 |date=January 6, 2013 }}

Contributions

Arthur 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.

Recognition

Arthur was elected a Fellow of the Royal Society of Canada in 1981 and a Fellow of the Royal Society in 1992.{{cite web|url=https://rsc-src.ca/en/search-fellows?keywords_44=&first_name=james&last_name=arthur&display_name=&election_year_21=&academy_25=All&division_24=All&discipline_23=All&is_deceased=0&sort_by=last_name&sort_order=ASC|title=Search Fellows|author=|publisher=Royal Society of Canada|access-date=September 7, 2017|archive-date=January 31, 2019|archive-url=https://web.archive.org/web/20190131040759/https://rsc-src.ca/en/search-fellows?keywords_44=&first_name=james&last_name=arthur&display_name=&election_year_21=&academy_25=All&division_24=All&discipline_23=All&is_deceased=0&sort_by=last_name&sort_order=ASC|url-status=dead}}{{cite web|url=https://royalsociety.org/people/james-arthur-11004/|title=James Arthur|publisher=Royal Society|access-date=April 3, 2018}} In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin.{{cite book|author=Arthur, James|chapter=Towards a stable trace formula|title=Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II|year=1998|pages=507–517|chapter-url=https://www.elibm.org/ft/10011688000}} He was elected a Foreign Honorary Member of the American Academy of Arts and Sciences in 2003.{{cite web|title=Book of Members, 1780–2010: Chapter A|url=http://www.amacad.org/publications/BookofMembers/ChapterA.pdf|publisher=American Academy of Arts and Sciences|access-date=April 25, 2011}} In 2012 he became a fellow of the American Mathematical Society.{{cite web |url=https://www.ams.org/profession/fellows-list |title=List of Fellows of the American Mathematical Society |access-date=November 3, 2012}}

He was elected as a fellow of the Canadian Mathematical Society in 2019.{{citation|url=https://cms.math.ca/MediaReleases/2019/Fellows|title=Canadian Mathematical Society's Second Inaugural Class of Fellows Announced|publisher=Canadian Mathematical Society|access-date=January 6, 2020}}

References

External links

{{MathGenealogy|id=15892|name=James Arthur}}
[http://www.claymath.org/publications/collected-works-james-g-arthur Works of James Arthur] {{Webarchive|url=https://web.archive.org/web/20210516030251/http://www.claymath.org/publications/collected-works-james-g-arthur |date=May 16, 2021 }} at the Clay institute
[http://www.math.toronto.edu/arthur/ Archive of Collected Works of James Arthur] at the University of Toronto Department of Mathematics
[http://www.jpost.com/Israel-News/Health/Wolf-Prizes-in-the-sciences-and-arts-presented-to-nine-North-Americans-389466 Wolf Prizes 2015]
[https://zbmath.org/authors/?q=ai:arthur.james-g Author profile] in the database zbMATH