Andrei Zelevinsky

Andrei Zelevinsky Vladlenovich (Russian: Андрей Владленович Зелевинский / Andrei Wladlenowitsch Selewinski; born January 30, 1953 † April 10, 2013 ) was a Russian- American mathematician, with representation theory, algebraic geometry, algebraic combinatorics ( and combinatorics of polyhedra ) addressed, quantum groups and hypergeometric functions.

Life

Zelevinsky visited the Mathematical School No. 2 in Moscow and studied mathematics at the Moscow State University, where he graduated in 1974 and in 1978 was made ​​a doctorate. In Moscow he belonged to the circle around Israel Gelfand, with whom he later published a book ( they were working since 1984). As a Jew, he had difficulty getting a job. 1977 to 1985 he conducted research at the Institute for Geosciences of the Soviet Academy of Sciences and then to 1990 at the Scientific Council for Cybernetics of the Academy of Sciences. 1980 to 1982 he taught at the University of illegal Jewish Bella Subbotowskaja on Oil and Gas Institute ( Kerosinska ). 1990/91 he was a visiting professor at Cornell University and from 1991 Associate Professor.

From 1993 he was a professor at Northeastern University.

He has been a visiting scientist at the Mittag-Leffler Institute, at the University of Bielefeld, University of Leiden, MIT, the University of Warwick, at the Isaac Newton Institute, the Erwin Schrödinger Institute for Mathematical Physics in Vienna, at the Institut Fourier in Grenoble, at the MSRI ( Eisenbud professorship ) at the University of Basel and at the Hausdorff center of the University of Bonn.

According to him and Joseph Bernstein Bernstein - Zelevinsky classification of the representation p - adic groups is named.

With Sergey Fomin (born 1958 ), he led a 2002 cluster algebras.

In 1998 he was Invited Speaker ( multisegment duality, canonical basis and total positivity ) at the International Congress of Mathematicians in Berlin. He is a Fellow of the American Mathematical Society.

Writings

  • Representations of Finite Classical Groups. A Hopf Algebra Approach. Lecture Notes in Mathematics, Volume 869, Springer Verlag 1981
  • With Israel Gelfand, Mikhail Mikhailovich Kapranow: Discriminants, Resultants and Multidimensional Determinants. Birkhäuser 1994
  • What is a cluster algebra? Notices AMS, Volume 54, 2007 Issue 1, PDF.
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