Efim Zelmanov

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Efim Zelmanov
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Efim Zelmanov
Born Efim Isaakovich Zelmanov
(1955-09-07) September 7, 1955 (age 68)
Khabarovsk, Russian SFSR, Soviet Union
Nationality Russian
Fields mathematics
Institutions University of California, San Diego
Doctoral students <templatestyles src="Plainlist/styles.css"/>
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.

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