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Efim Zelmanov - UC San Diego. La Jolla, CA, US

Efim Zelmanov Efim Zelmanov

Professor of Mathematics & Rita L. Atkinson Endowed Chair | UC San Diego


Efim Zelmanov is an expert in algebra.





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Infinite dimensional Lie algebras and super algebras (Efim Zelmanov) Asymptotic theory of finite groups (Efim Zelmanov)




Zelmanov received his Ph.D. in mathematics from Novosibirsk State University in 1980 and his M.S. from Novosibirsk State University in 1977. He is an expert in algebra.

Zelmanov was appointed as the Rita L. Atkinson Chair in Mathematics at UC San Diego in 2002. Before his appointment at UC San Diego, Zelmanov was a Professor at Yale University, 1995-2002, University of Chicago, 1994-1995, University of Wisconsin - Madison, 1990-1994, Institute of Mathematics of the Academy of Sciences of the USSR, 1980-present.

Areas of Expertise (5)


Infinite Discrete Groups


Jordan Algebra

Profinite Groups

Education (2)

Novosibirsk State University, Russia: Ph.D., Mathematics 1981

Novosibirsk State University, Russia: M.S., Mathematics 1977

Affiliations (6)

  • Fellow of the American Academy of Arts and Sciences
  • Member of the National Academy of Sciences
  • Foreign Member of the Korean Academy of Science and
  • Foreign Member of the Spanish Royal Academy of Sciences
  • Fellow of the American Mathematical Society
  • Honorary Doctorate - U. of Hagen, U. of Oviedo, U. of Alberta, U. of Lincoln

Media Appearances (1)

Number Theory

Tablet Magazine  


Efim Zelmanov, a Russian-American Fields Medalist who often visits Israel, invokes the image of mathematics as a tower, as one must ascend from lower floors in order to advance to more sophisticated topics. “Elon is working in an incredibly abstract and complicated area, even for mathematics,” he said. “If math is a tower, he’s on one of the top floors, and the higher you get, the harder it is to explain.”...

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Articles (2)

A finite presentation of Jordan algebras

International Journal of Algebra and Computation

Ivan Shestakov and Efim Zelmanov

2018 Let R be an associative algebra. Let ∗:R→R be an involution. We study the following question: when are the Jordan algebras R(+) and H(R,∗)={a∈R∣∣a∗=a} finitely presented?

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Algebras and semigroups of locally subexponential growth

Journal of Algebra

Zelmanov et al.

2018 We prove that a countable dimensional associative algebra (resp. a countable semigroup) of locally subexponential growth is -embeddable as a left ideal in a finitely generated algebra (resp. semigroup) of subexponential growth. Moreover, we provide bounds for the growth of the finitely generated algebra (resp. semigroup). The proof is based on a new construction of matrix wreath product of algebras.

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