Efim Zelmanov

Efim Isaakovich Zelmanov (Russian: Ефи́м 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.

Efim Zelmanov
Efim Zelmanov
Efim Isaakovich Zelmanov

(1955-09-07) September 7, 1955 (age 65)
NationalityRussian, American
Known fornonassociative algebra
AwardsFields Medal (1994)
Scientific career
InstitutionsUniversity of California, San Diego
Doctoral students

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 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.

Efim Zelmanov (right) with the University of Lincoln (UK) Deputy Vice-Chancellor Professor Andrew Hunter (left) after receiving Honorary DSc degree. 5th September 2016, Lincoln, UK.

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 delivered the 2004 Turán Memorial Lectures.[10] He was awarded Honorary Doctor degrees from the University of Alberta, Canada (2011),[11] Taras Shevchenko National University of Kyiv, Ukraine (2012),[12] the Universidad Internacional Menéndez Pelayo in Santander, Spain (2015)[13] and the University of Lincoln, UK (2016).[14][15]

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 publicationsEdit

  • 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


  1. ^ http://www.nasonline.org/member-directory/members/3008679.html
  2. ^ Interview with Zelmanov (in Russian)
  3. ^ "UCSD Press Releases: Fields Medalist Joins Mathematics Faculty at UCSD".
  4. ^ National Academy of Sciences Elections, Notices of the American Mathematical Society 48 (2001), no. 7, p. 722
  5. ^ FIELDS MEDALIST JOINS MATHEMATICS FACULTY AT UCSD, University of California at San Diego news release, October 28, 2002
  6. ^ American Academy Elections, Notices of the American Mathematical Society 43 (1996), no. 7, p. 781
  7. ^ 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
  8. ^ List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
  9. ^ Biographies of candidates 1998, Notices of the American Mathematical Society 45 (1998), no. 8, p. 1018
  10. ^ "Turán Memorial Lectures".
  11. ^ "Honorary degree recipients set to inspire - University of Alberta". www.ualberta.ca. Archived from the original on 2016-09-13. Retrieved 2016-09-08.
  12. ^ "Honorary Doctors". www.univ.kiev.ua. Retrieved 2016-09-08.
  13. ^ España, La Nueva. "Otín y Zelmanov, doctores honoris causa por la Universidad Menéndez Pelayo". Retrieved 2016-09-08.
  14. ^ "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.
  15. ^ University of Lincoln (31 August 2016). "Celebrating degree success as Class of 2016 graduate". University of Lincoln Press Office. Retrieved 2016-09-07.

External linksEdit