Efim Zelmanov
Efim Zelmanov  

Efim Zelmanov


Born 
Efim Isaakovich Zelmanov September 7, 1955 Khabarovsk, Russian SFSR, Soviet Union 
Nationality  Russian, American 
Known for  nonassociative algebra 
Awards  Fields Medal (1994) 
Scientific career  
Fields  mathematics 
Institutions  University of California, San Diego 
Doctoral students 
Efim Isaakovich Zelmanov (Russian: Ефи́м Исаа́кович Зе́льманов; born 7 September 1955 in Khabarovsk) is a RussianAmerican^{[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.
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.^{[2]} 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^{[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.
References
 ^ http://www.nasonline.org/memberdirectory/members/3008679.html
 ^ Interview with Zelmanov (in Russian)
 ^ "UCSD Press Releases: Fields Medalist Joins Mathematics Faculty at UCSD".
 ^ National Academy of Sciences Elections, Notices of the American Mathematical Society 48 (2001), no. 7, p. 722
 ^ FIELDS MEDALIST JOINS MATHEMATICS FACULTY AT UCSD, University of California at San Diego news release, October 28, 2002
 ^ American Academy Elections, Notices of the American Mathematical Society 43 (1996), no. 7, p. 781
 ^ Efim Zelmanov to receive honorary doctor of science degree from University of Alberta Archived 20140422 at the Wayback Machine., University of Alberta press release, June 14, 2011
 ^ List of Fellows of the American Mathematical Society, retrieved 20130901.
 ^ Biographies of candidates 1998, Notices of the American Mathematical Society 45 (1998), no. 8, p. 1018
 ^ "Honorary degree recipients set to inspire  University of Alberta". www.ualberta.ca. Archived from the original on 20160913. Retrieved 20160908.
 ^ "Honorary Doctors". www.univ.kiev.ua. Retrieved 20160908.
 ^ España, La Nueva. "Otín y Zelmanov, doctores honoris causa por la Universidad Menéndez Pelayo". Retrieved 20160908.
 ^ "Visit of Professor Efim Zelmanov  LONDON MATHEMATICAL SOCIETY NEWSLETTER". newsletter.lms.ac.uk. July 11, 2016. Retrieved 20160907.
 ^ University of Lincoln (31 August 2016). "Celebrating degree success as Class of 2016 graduate". University of Lincoln Press Office. Retrieved 20160907.
External links
 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.
 1955 births
 Living people
 People from Khabarovsk
 Russian Jews
 Russian mathematicians
 American people of RussianJewish descent
 20thcentury Russian mathematicians
 21stcentury mathematicians
 Fields Medalists
 Jewish American scientists
 Members of the United States National Academy of Sciences
 Soviet mathematicians
 University of California, San Diego faculty
 Fellows of the American Mathematical Society
 Novosibirsk State University alumni