Andrei Zelevinsky
| Andrei Zelevinsky | |
|---|---|
 | |
| Born |
January 30, 1953 Moscow, Soviet Union |
| Died |
April 10, 2013 Boston, United States |
| Nationality |
Soviet Union United States |
| Fields | Mathematics |
| Institutions | Northeastern University |
| Alma mater | Moscow State University |
| Doctoral advisors | Israil Gelfand, Alexandre Kirillov |
| Doctoral students |
Arkady Berenstein Giovanni Cerulli Irelli Sachin Gautam Oleg Gleizer Daniel Labardini-Fragoso Jeanne Scott Ahmet Seven Salvatore Stella Thao Tran Shih-Wei Yang |
| Known for | Bernstein-Zelevinsky classification, Cluster algebras |
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 Peoples' 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]
Research
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)[8] and development of the theory of hyperdeterminants[9]
- 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.
Awards and recognition
- Invited lecture at the International Congress of Mathematicians (Berlin, 1998)[10]
- Humboldt Research Award (2004)
- Fellow (2012) of the American Mathematical Society[11]
- University Distinguished Professorship (2013) at Northeastern University[12]
References
- ↑ News on website for the commutative algebra community
- ↑ Medal-winning graduates of the Moscow Mathematical School No. 2
- ↑ 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.
- ↑ I. M. Gelfand, M. M. Kapranov, A. 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, I. M.; M.M. Kapranov; A.V. Zelevinsky (1994). Discriminants, resultants, and multidimensional determinants. Boston: Birkhäuser. ISBN 0-8176-3660-9.
- ↑ Section "Combinatorics" at ICM'98
- ↑ List of Fellows of the American Mathematical Society
- ↑ Northeastern University, Academic Honors Convocation
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 in 2007-13
- A. Zelevinsky at the Mathematics Genealogy Project