Andrei Zelevinsky: Difference between revisions
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* [[Bernstein–Zelevinsky classification]] of representations of [[p-adic group|''p''-adic group]]s; |
* [[Bernstein–Zelevinsky classification]] of representations of [[p-adic group|''p''-adic group]]s; |
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* joint with [[Israel Gelfand| I. Gelfand]] and [[Mikhail Kapranov| M. Kapranov]] |
* introduction (joint with [[Israel Gelfand| I. Gelfand]] and [[Mikhail Kapranov| M. Kapranov]]) A-systems of hypergeometric equations (also known as GKZ-system) <ref> 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</ref> and development of the theory of [[hyperdeterminant]]s<ref> |
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{{cite book |
{{cite book |
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| last = Gelfand | first = I. M. | coauthors = M.M. Kapranov, A.V. Zelevinsky |
| last = Gelfand | first = I. M. | coauthors = M.M. Kapranov, A.V. Zelevinsky |
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Revision as of 08:51, 20 April 2013
Andrei Zelevinsky | |
|---|---|
 Andrei Zelevinsky | |
| Born | January 30, 1953 Moscow |
| Died | April 10, 2013 |
| Nationality | USSR, US[clarification needed] |
| Alma mater | Moscow State University |
| Known for | Bernstein-Zelevinsky classification, Cluster algebras |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Northeastern University |
| Doctoral advisors | Israil Gelfand, Alexandre Kirillov |
| Doctoral students | Arkady Berenstein Oleg Gleizer Giovanni Cerulli Irelli Daniel Labardini-Fragoso Sachin Gautam Joshua Scott Salvatore Stella |
Andrei Vladlenovich Zelevinsky (Russian: 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, under the mentorship of Joseph Bernstein, Alexandre Kirillov and Israel Gelfand, he obtained his PhD in 1978.[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, to talented young students denied admission to the math department of the Moscow State University, a comparable mathematics education.
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 daughter; he also had several grandchildren.[7]
Research
Zelevinsky's contributions include:
- Bernstein–Zelevinsky classification of representations of p-adic groups;
- introduction (joint with I. Gelfand and M. Kapranov) A-systems of hypergeometric equations (also known as GKZ-system) [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.
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
- ^ You failed your math test, comrade Einstein
- ^ Northeastern University, Math. Dep page
- ^ 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. (1994). Discriminants, resultants, and multidimensional determinants. Boston: Birkhäuser. ISBN 0-8176-3660-9.
{{cite book}}: Unknown parameter|coauthors=ignored (|author=suggested) (help) - ^ Section "Combinatorics" at ICM'98
- ^ List of Fellows of the American Mathematical Society
- ^ Northeastern University, Academic Honors Convocation