Efim Zelmanov

Biography

Efim Isaakovich Zelmanov (Russian: Ð•Ñ„и́м Исаа́кович Зе́льманов; born 7 September 1955 in Khabarovsk) is a Russian-American[1]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. 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[3] 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,[4]becoming, at the age of 47, the youngest member of the mathematics section of the academy.[5] He is also an elected member of the American Academy of Arts and Sciences(1996)[6] and a foreign member of the Korean Academy of Science and Engineering and of the Spanish Royal Academy of Sciences.[7] In 2012 he became a fellow of the American Mathematical Society.[8] Zelmanov gave invited talks at the International Congress of Mathematicians in Warsaw (1983), Kyoto (1990) and Zurich (1994).[9] He was awarded Honorary Doctor degrees from the University of Alberta, Canada (2011),[10] Shevchenko National University of Kyiv, Ukraine (2012),[11] the Universidad Internacional Menéndez Pelayo in Santander, Spain (2015)[12] and the University of Lincoln, UK (2016).[13][14] 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.  

Research Interest

nonassociative algebra