| Andrei Zelevinsky|| Mathematics|
| January 30, 1953
Moscow, Soviet Union (1953-01-30) |
Moscow State University
Israil Gelfand, Alexandre Kirillov
Giovanni Cerulli Irelli
Bernstein-Zelevinsky classification, Cluster algebras
April 10, 2013, Boston, Massachusetts, United States
Discriminants, Resultants, and Multidimensional Determinants
Israel Gelfand, Alexandre Kirillov
Moscow State University
Andrei Zelevinsky Wikipedia
Andrei Vladlenovich Zelevinsky (Андрей Владленович Зелевинский; 30 January 1953 – 10 April 2013) was a Russian-American mathematician who made important contributions to algebra, combinatorics, and representation theory, among other areas.
Zelevinsky graduated in 1969 from the Moscow Mathematical School No. 2. After winning a silver medal as a member of the USSR team at the International Mathematical Olympiad he was admitted without examination to the mathematics department of Moscow State University where he obtained his PhD in 1978 under the mentorship of Joseph Bernstein, Alexandre Kirillov and Israel Gelfand.
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 1980s, at a great personal risk, he taught at the Jewish Peoples' University, an unofficial organization offering first-class mathematics education to talented students denied admission to Moscow State University's math department.
In 1990-91, Zelevinsky was a visiting professor at Cornell University, and from 1991 until his death was on faculty at Northeastern University, Boston. With his wife, Galina, he had a son and a daughter; he also had several grandchildren.
Zelevinsky's contributions include:Bernstein–Zelevinsky classification of representations of p-adic groups;
introduction (jointly with I. Gelfand and M. Kapranov) of A-systems of hypergeometric equations (also known as GKZ-systems) and development of the theory of hyperdeterminants
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, including its applications to Somos sequences;
discovery (with S. Fomin) of cluster algebras.
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