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|Born||Efim Isaakovich Zelmanov
September 7, 1955
Khabarovsk, Russian SFSR, Soviet Union
|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 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 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 and a Distinguished Professor at the Korea Institute for Advanced Study. In 2012 he became a fellow of the American Mathematical Society.
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.
- 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.