Efim Zelmanov

From Wikipedia, the free encyclopedia

Efim I. Zelmanov.

Efim Isaakovich Zelmanov (Ефим Исаакович Зельманов: born September 7, 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 in 1994.

He was born into a Jewish family in Khabarovsk, Soviet Union (Russia). He took a doctoral degree at Novosibirsk University, and a higher degree at Leningrad State University in 1985. He had a position in Novosibirsk until 1987, when he left the Soviet Union.

From 1990 he was 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.

His 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] External links

Efim Zelmanov at the Mathematics Genealogy Project
O'Connor, John J., and Edmund F. Robertson. "Efim Zelmanov". MacTutor History of Mathematics archive.

Fields Medalists