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.
Andrei Zelevinsky | |
|---|---|
 | |
| Born | January 30, 1953 Moscow, Soviet Union |
| Died | April 10, 2013 (aged 60) Boston, United States |
| Nationality | Soviet Union United States |
| Alma mater | Moscow State University |
| Known for | Bernstein–Zelevinsky classification Cluster algebras |
| Awards | Humboldt Prize (2004) Leroy P. Steele Prize (2018) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Northeastern University |
| Doctoral advisors | Israel Gelfand Alexandre Kirillov |
Biography
editZelevinsky 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
editZelevinsky'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
edit- 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
edit- ^ 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
External links
edit- 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
- Andrei Zelevinsky at the Mathematics Genealogy Project