Efim Zelmanov
| Efim Zelmanov | |
|---|---|
 Efim Zelmanov |
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| Born | September 7, 1955 Khabarovsk, Soviet Union |
| Nationality | Russian |
| Fields | mathematics |
| Institutions | University of California, San Diego |
| Known for | nonassociative algebra |
| Notable awards | Fields Medal (1994) |
Efim Isaakovich Zelmanov (Russian: Ефи́м Исаа́кович Зе́льманов; born 7 September 1955) 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 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[1] and a Distinguished Professor at the Korea Institute for Advanced Study.
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.
[edit] References
[edit] 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, http://www-history.mcs.st-andrews.ac.uk/Biographies/Zelmanov.html.
- The Work of Efim Zelmanov (Fields Medal 1994) by Kapil Hari Paranjape.
