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Andrei Vladlenovich Zelevinsky (Андрей Владленович Зелевинский; * 30 January 1953, † 10 April 2013 ) was a Russian-American mathematician, whose main contributions belong to the fields of algebra, combinatorics, and representation theory.

Biography
In 1969, Zelevinsky graduated from the Moscow Mathematical School No. 2, and as the member of the USSR team at the International Mathematical Olympiad, where he won a silver medal , was admitted without examinations to the mathematics department of the Moscow State University. He studied under the mentorship of Joseph Bernstein, Alexandre Kirillov and Israel Gelfand, and obtained his PhD degree in 1978. He worked in the mathematical laboratory of Vladimir Keilis-Borok at the Institute of Earth Science (1977-85), and at the Council for Cybernetics of the Soviet Academy of Sciences (1985-90). In the early 80ies, at a great personal risk, he taught at Jewish Peoples' University, an unofficial formation where young talented Moscow students denied admission to the math department of the Moscow State University, could receive comparable math education. In 1990-91, Zelevinsky was a visiting professor at Cornell University, and since 1991 and until his unexpected death taught at Northeastern University, Boston, MA.

Research
Zelevinsky's contributions include:


 * Bernstein–Zelevinsky classification of representations of p-adic groups;


 * joint with I. Gelfand and  M. Kapranov monograph "Discriminants,  resultants, and  multidimansional determinants"


 * generalization of Littlewood-Richardson rule and Robinson-Schensted correspondence using combinatorics of "pictures";


 * work (jointly with A. Berenstein and  S. Fomin) on total positivity;


 * work (with S. Fomin) on the Laurent phenomenon in the theory of Somos sequences;


 * discovery (with S. Fomin) of cluster algebras.

Recognition

 * Invited lecture at the International Congress of Mathematicians (Berlin, 1998)


 * Humboldt Research Award (2004)


 * Fellow (2012) of the American Mathematical Society


 * University Distinguished Professorship (2013) at Northeastern University