| Efim Zelmanov | |
|---|---|
 Efim Zelmanov
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| Born |
September 7, 1955 Khabarovsk, Soviet Union |
| Nationality | Soviet Union |
| Fields | mathematics |
| Institutions | University of California, San Diego |
| Known for | nonassociative algebra |
| Notable awards | Fields Medal (1994) |
Efim Isaakovich Zelmanov (Russian: Ефим Исаакович Зельманов; born 7 September 1955) is a 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 2002, he is a professor at the University of California, San Diego.[1]
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.
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