Andrei Vladlenovich Zelevinsky (Андрей Владленович Зелевинский; 30 January 1953 – 10 April 2013)[1] 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.[2] After winning a silver medal as a member of the USSR team at the International Mathematical Olympiad[3] 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.[4]
He worked[5] 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,[6] 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.[7]
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)[8] and development of the theory of hyperdeterminants;[9][10]
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)[11]
Humboldt Research Award (2004)
Fellow (2012) of the American Mathematical Society[12]
University Distinguished Professorship (2013) at Northeastern University[13]
Steele Prize for Seminal Contribution to Research (2018)[14]
References
News on website for the commutative algebra community
"Medal-winning graduates of the Moscow Mathematical School No. 2". Archived from the original on 2013-06-15. Retrieved 2013-04-18.
IMO Results
A. Zelevinsky at the Mathematics Genealogy Project.
A. Zelevinsky's cv Archived April 16, 2013, at the Wayback Machine
You failed your math test, comrade Einstein
Northeastern University, Math. Dep page Archived May 1, 2013, at the Wayback Machine
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
Gelfand, Israel M.; Mikhail M. Kapranov; Andrei V. Zelevinsky (1994). Discriminants, resultants, and multidimensional determinants. Boston: Birkhäuser. ISBN 0-8176-3660-9.
Roberts, David P. (2009). "Review: Discriminants, Resultants, and Multidimensional Determinants, by I. M. Gelfand, M. M. Kapranov, and A. V. Zelevinsky". Mathematical Association of America. Retrieved 1 Jul 2020.
Section "Combinatorics" at ICM'98
List of Fellows of the American Mathematical Society
Northeastern University, Academic Honors Convocation
2018 Steele Prize for Seminal Contribution to Research in Discrete Mathematics/Logic to Sergey Fomin and Andrei Zelevinsky
Hellenica World - Scientific Library
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