Efim Zelmanov
| Efim Zelmanov | |
|---|---|
|
Efim Zelmanov | |
| Born |
Efim Isaakovich Zelmanov September 7, 1955 Khabarovsk, Russian SFSR, Soviet Union |
| Nationality | Russian |
| Fields | mathematics |
| Institutions | University of California, San Diego |
| Doctoral students | |
| Known for | nonassociative algebra |
| Notable awards | Fields Medal (1994) |
Efim Isaakovich Zelmanov (Russian: Ефи́м Исаа́кович Зе́льманов; born 7 September 1955 in Khabarovsk) is a Russian 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.[1] 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[2] 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,[3] becoming, at the age of 47, the youngest member of the mathematics section of the academy.[4] He is also an elected member of the American Academy of Arts and Sciences (1996)[5] and a foreign member of the Korean Academy of Science and Engineering and of the Spanish Royal Academy of Sciences.[6] In 2012 he became a fellow of the American Mathematical Society.[7]
Zelmanov gave invited talks at the International Congress of Mathematicians in Warsaw (1983), Kyoto (1990) and Zurich (1994).[8]
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
- ↑ 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, 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
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.
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