Andrei Vladlenovich Zelevinsky (; 30 January 1953 – 10 April 2013)News on website for the commutative algebra community was a Russian-American mathematician who made important contributions to algebra, combinatorics, and representation theory, among other areas.
Biography 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 OlympiadIMO Results 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.A. Zelevinsky at the Mathematics Genealogy Project.
He workedA. Zelevinsky's cv 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 People's University,You failed your math test, comrade Einstein 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.Northeastern University, Math. Dep page
Zelevinsky is a relative of the physicists Vladimir Zelevinsky and Tanya Zelevinsky.
Research Zelevinsky's most notable achievement is the discovery (with Sergey Fomin) of cluster algebras. His other contributions include:
Bernstein–Zelevinsky classification of representations of p-adic groups; Introduction (jointly with Israel Gelfand and Mikhail Kapranov) of A-systems of hypergeometric equations (also known as GKZ-systems)Israel M. Gelfand, Mikhail M. Kapranov, Andrei V. Zelevinsky, Hypergeometric functions and toric varieties, (Russian) Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, 12–26; translation in Funct. Anal. Appl. 23 (1989), no. 2, 94–10 and development of the theory of hyperdeterminants; generalization of the Littlewood–Richardson rule and Robinson–Schensted correspondence using the combinatorics of "pictures"; work (jointly with Arkady Berenstein and Sergey Fomin) on total positivity; work (with Sergey Fomin) on the Laurent phenomenon, including its applications to Somos sequences.
Awards and recognition Invited lecture at the International Congress of Mathematicians (Berlin, 1998)Section "Combinatorics" at ICM'98 Humboldt Research Award (2004) Fellow (2012) of the American Mathematical SocietyList of Fellows of the American Mathematical Society University Distinguished Professorship (2013) at Northeastern UniversityNortheastern University, Academic Honors Convocation Steele Prize for Seminal Contribution to Research (2018)2018 Steele Prize for Seminal Contribution to Research in Discrete Mathematics/Logic to Sergey Fomin and Andrei Zelevinsky
References
External links Home page of Andrei Zelevinsky (including CV) Conference in memory of Andrei Zelevinsky Publications of Andrei Zelevinsky (in Russian) Publications of Andrei Zelevinsky (in English) Research Focus: Andrei Zelevinsky's Cluster Algebras Live journal run by Andrei Zelevinsky from 2007 to 2013