Efim Zelmanov's interests include Nonassociative Algebras, Lie Algebras, Group Theory. In 1980s he developed a structure theory of infinite dimensional Jordan algebras and applied it to Engel - type problems in Lie algebras. These methods led to numerous applications in the study of torsion groups, in particular, to the solution of The Restricted Burnside Problem. Recently Zelmanov has been working on profinite groups, Lie algebras graded by root systems, Lie and Jordan superalgebras.
- Undergraduate: Major Mathematics M.S., Novosibirsk University, 1977
- Graduate: Major Mathematics Ph.D., Novosibirsk University, 1980
- Graduate & Post-graduate: Dr.Sc. , Leningrad University, 1985
- Leading Research Fellow, Institute of Mathematics, Novosibirsk, 1980 - 1992
- Professor of Mathematics, University of Wisconsin - Madison, 1992 - 1996
- Professor of Mathematics, University of Chicago, 1994 - 1995
- Professor of Mathematics, Yale University, 1995 - 2002
- Distinguished Professor, KIAS, 1996 - present
- R. Atkinson Professor of Mathematics, University of California - San Diego, 2002 - present
- College de France Medal,1991
- Fields Medal, 1994
- American Academy of Art and Science, 1997
- Honorary Dr., University of Hagen, Germany, 1997
- National Academy of Sciences of the USA, 2001
- Foreign Member of the Royal Academy of Spain, 2001
- European Academy of Sciences, 2003
- Honorary Dr., University of Oviedo, Spain, 2007
- Foreign Member of the Korean Academy of Science and Technology, 2008
- Honorary Dr. , University of Alberta, Canada, 2011
- Honorary Dr., Queen's University, UK, 2011
- NSF grants , 1992 - 2013
Publications at KIAS
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IRREDUCIBLE REPRESENTATIONS OF THE EXCEPTIONAL CHENG-KAC SUPERALGEBRA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014 -
JORDAN BIMODULES OVER THE SUPERALGEBRAS P(n) AND Q(n)
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010 -
Some open problems in the theory of infinite dimensional algebras
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2007 -
A Kronecker factorization theorem for the exceptional Jordan superalgebra
JOURNAL OF PURE AND APPLIED ALGEBRA, 2003 -
Jordan superalgebras defined by brackets
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2001 -
Simple finite-dimensional Jordan superalgebras of prime characteristic
JOURNAL OF ALGEBRA, 2001
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