Efim Zelmanov
Efim Zelmanov | |
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Efim Zelmanov
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Born |
Efim Isaakovich Zelmanov
September 7, 1955 |
Nationality | Russian, American |
Known for | nonassociative algebra |
Awards | Fields Medal (1994) |
Scientific career | |
Fields | mathematics |
Institutions | University of California, San Diego |
Doctoral students |
Efim Isaakovich Zelmanov (Russian: Ефи́м Исаа́кович Зе́льманов; born 7 September 1955 in Khabarovsk) is a Russian-American^{[1]} mathematician, known for his work on combinatorial problems in nonassociative algebra and group theory, including his solution of the restricted Burnside problem. He was awarded a Fields Medal at the International Congress of Mathematicians in Zürich in 1994.
Zelmanov was born into a Jewish family in Khabarovsk, Soviet Union (now in Russia). He entered Novosibirsk State University in 1972, when he was 17 years old.^{[2]} He obtained doctoral degree at Novosibirsk State University in 1980, and a higher degree at Leningrad State University in 1985. He had a position in Novosibirsk until 1987, when he left the Soviet Union.
In 1990 he moved to the United States, becoming a professor at the University of Wisconsin–Madison. He was at the University of Chicago in 1994/5, then at Yale University. As of 2011, he is a professor at the University of California, San Diego^{[3]} and a Distinguished Professor at the Korea Institute for Advanced Study.
Zelmanov was elected a member of the U.S. National Academy of Sciences in 2001,^{[4]} becoming, at the age of 47, the youngest member of the mathematics section of the academy.^{[5]} He is also an elected member of the American Academy of Arts and Sciences (1996)^{[6]} and a foreign member of the Korean Academy of Science and Engineering and of the Spanish Royal Academy of Sciences.^{[7]} In 2012 he became a fellow of the American Mathematical Society.^{[8]}
Zelmanov gave invited talks at the International Congress of Mathematicians in Warsaw (1983), Kyoto (1990) and Zurich (1994).^{[9]} He was awarded Honorary Doctor degrees from the University of Alberta, Canada (2011),^{[10]} Shevchenko National University of Kyiv, Ukraine (2012),^{[11]} the Universidad Internacional Menéndez Pelayo in Santander, Spain (2015)^{[12]} and the University of Lincoln, UK (2016).^{[13]}^{[14]}
Zelmanov's early work was on Jordan algebras in the case of infinite dimensions. He was able to show that Glennie's identity in a certain sense generates all identities that hold. He then showed that the Engel identity for Lie algebras implies nilpotence, in the case of infinite dimensions.
References
- ^ http://www.nasonline.org/member-directory/members/3008679.html
- ^ Interview with Zelmanov (in Russian)
- ^ "UCSD Press Releases: Fields Medalist Joins Mathematics Faculty at UCSD".
- ^ National Academy of Sciences Elections, Notices of the American Mathematical Society 48 (2001), no. 7, p. 722
- ^ FIELDS MEDALIST JOINS MATHEMATICS FACULTY AT UCSD, University of California at San Diego news release, October 28, 2002
- ^ American Academy Elections, Notices of the American Mathematical Society 43 (1996), no. 7, p. 781
- ^ Efim Zelmanov to receive honorary doctor of science degree from University of Alberta Archived 2014-04-22 at the Wayback Machine., University of Alberta press release, June 14, 2011
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
- ^ Biographies of candidates 1998, Notices of the American Mathematical Society 45 (1998), no. 8, p. 1018
- ^ "Honorary degree recipients set to inspire - University of Alberta". www.ualberta.ca. Archived from the original on 2016-09-13. Retrieved 2016-09-08.
- ^ "Honorary Doctors". www.univ.kiev.ua. Retrieved 2016-09-08.
- ^ España, La Nueva. "Otín y Zelmanov, doctores honoris causa por la Universidad Menéndez Pelayo". Retrieved 2016-09-08.
- ^ "Visit of Professor Efim Zelmanov | LONDON MATHEMATICAL SOCIETY NEWSLETTER". newsletter.lms.ac.uk. July 11, 2016. Retrieved 2016-09-07.
- ^ University of Lincoln (31 August 2016). "Celebrating degree success as Class of 2016 graduate". University of Lincoln Press Office. Retrieved 2016-09-07.
External links
- Efim Zelmanov at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Efim Zelmanov", MacTutor History of Mathematics archive, University of St Andrews.
- The Work of Efim Zelmanov (Fields Medal 1994) by Kapil Hari Paranjape.
- 1955 births
- Living people
- People from Khabarovsk
- Russian Jews
- Russian mathematicians
- American people of Russian-Jewish descent
- 20th-century Russian mathematicians
- 21st-century mathematicians
- Fields Medalists
- Jewish American scientists
- Members of the United States National Academy of Sciences
- Soviet mathematicians
- University of California, San Diego faculty
- Fellows of the American Mathematical Society
- Novosibirsk State University alumni