Efim Isaakovich Zelmanov (Russian: Ефи́м Исаа́кович Зе́льманов; born 7 September 1955) 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.
Efim Zelmanov | |
|---|---|
 Efim Zelmanov | |
| Born | Efim Isaakovich Zelmanov September 7, 1955 |
| Nationality | Russian, American |
| Alma mater | Novosibirsk State University Leningrad State University |
| Known for | Nonassociative algebra |
| Awards | Fields Medal (1994) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Wisconsin–Madison University of Chicago Yale University University of California, San Diego Southern University of Science and Technology |
| Doctoral students | |
Biography
editZelmanov was born on 7 Septemner 1955 into a Jewish family in Khabarovsk. He entered Novosibirsk State University in 1972, when he was 17 years old.[2] He obtained a 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. In 1996, he became a Distinguished Professor at the Korea Institute for Advanced Study and in 2002, he became a professor at the University of California, San Diego.[3] In 2022, he moved to the People's Republic of China and joined the Southern University of Science and Technology in Shenzhen, China.[4][5] He served as a chair professor and the scientific director of the SUSTech International Center for Mathematics.
Zelmanov was elected a member of the U.S. National Academy of Sciences in 2001,[6] becoming, at the age of 47, the youngest member of the mathematics section of the academy.[7] He is also an elected member of the American Academy of Arts and Sciences (1996)[8] and a foreign member of the Korean Academy of Science and Technology and of the Spanish Royal Academy of Sciences.[9] In 2012, he became a fellow of the American Mathematical Society.[10]
Zelmanov gave invited talks at the International Congress of Mathematicians in Warsaw (1983), Kyoto (1990) and Zurich (1994).[11] He delivered the 2004 Turán Memorial Lectures.[12] He was awarded Honorary Doctor degrees from the University of Hagen, Germany (1997),[13] the University of Alberta, Canada (2011),[14] Taras Shevchenko National University of Kyiv, Ukraine (2012),[15] the Universidad Internacional Menéndez Pelayo in Santander, Spain (2015)[16] and the University of Lincoln, UK (2016).[17][18]
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.
Notable publications
edit- Zelʹmanov, E.I. Solution of the restricted Burnside problem for groups of odd exponent. Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990), no. 1, 42–59, 221. English translation in Math. USSR-Izv. 36 (1991), no. 1, 41–60. doi:10.1070/IM1991v036n01ABEH001946
- Zelʹmanov, E.I. Solution of the restricted Burnside problem for 2-groups. Mat. Sb. 182 (1991), no. 4, 568–592. English translation in Math. USSR-Sb. 72 (1992), no. 2, 543–565. doi:10.1070/SM1992v072n02ABEH001272
References
edit- ^ "Efim I. Zelmanov".
- ^ Interview with Zelmanov (in Russian)
- ^ "UCSD Press Releases: Fields Medalist Joins Mathematics Faculty at UCSD".
- ^ "Math master starts full-time at SUSTech".
- ^ "Zelmanov's Homepage at SUStech".
- ^ 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 2014-04-22 at the Wayback Machine, University of Alberta press release, June 14, 2011
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
- ^ Biographies of candidates 1998, Notices of the American Mathematical Society 45 (1998), no. 8, p. 1018
- ^ "Turán Memorial Lectures".
- ^ "Ehrenpromotionen".
- ^ "Honorary degree recipients set to inspire - University of Alberta". www.ualberta.ca. Archived from the original on 2016-09-13. Retrieved 2016-09-08.
- ^ "Honorary Doctors". www.univ.kiev.ua. Retrieved 2016-09-08.
- ^ España, La Nueva (7 February 2015). "Otín y Zelmanov, doctores honoris causa por la Universidad Menéndez Pelayo". Retrieved 2016-09-08.
- ^ "Visit of Professor Efim Zelmanov | LONDON MATHEMATICAL SOCIETY NEWSLETTER". newsletter.lms.ac.uk. July 11, 2016. Archived from the original on September 17, 2016. Retrieved 2016-09-07.
- ^ University of Lincoln (31 August 2016). "Celebrating degree success as Class of 2016 graduate". University of Lincoln Press Office. Retrieved 2016-09-07.