| 释义 |
- Biography
- Research
- Awards and recognition
- References
- External links
{{Infobox scientist
| name = Andrei Zelevinsky
| image = Zelevinsky.jpg
| image_size = 225px
| caption =
| birth_date = {{birth date|1953|01|30}}
| birth_place = Moscow, Soviet Union
| death_date = {{death date and age|2013|04|10|1953|01|30}}
| death_place = Boston, United States
| nationality = Soviet Union
United States
| fields = Mathematics
| workplaces = Northeastern University
| alma_mater = Moscow State University
| doctoral_advisors = Israel Gelfand
Alexandre Kirillov
| doctoral_students = Arkady Berenstein
| known_for = Bernstein–Zelevinsky classification
Cluster algebras
| awards = Humboldt Prize (2004)
Leroy P. Steele Prize (2018)
}}Andrei Vladlenovich Zelevinsky ({{lang|ru|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. BiographyZelevinsky 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] ResearchZelevinsky'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];
- 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)[10]
- Humboldt Research Award (2004)
- Fellow (2012) of the American Mathematical Society[13]
- University Distinguished Professorship (2013) at Northeastern University[14]
- Steele Prize for Seminal Contribution to Research (2018) [15]
References1. ^News on website for the commutative algebra community
2. ^Medal-winning graduates of the Moscow Mathematical School No. 2
3. ^IMO Results
4. ^A. Zelevinsky at the Mathematics Genealogy Project.
5. ^A. Zelevinsky's cv {{webarchive |url=https://web.archive.org/web/20130416191132/http://www.math.neu.edu/zelevinsky/mycv.html |date=April 16, 2013 }}
6. ^You failed your math test, comrade Einstein
7. ^Northeastern University, Math. Dep page {{webarchive |url=https://web.archive.org/web/20130501023619/http://www.math.neu.edu/news/andrei-zelevinsky-1953-2013/11_april_13 |date=May 1, 2013 }}
8. ^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
9. ^{{cite book | last = Gelfand | first = Israel M. | author2 = Mikhail M. Kapranov |author3=Andrei V. Zelevinsky | title = Discriminants, resultants, and multidimensional determinants | publisher = Boston: Birkhäuser | year = 1994 | pages = | isbn = 0-8176-3660-9}}
10. ^Section "Combinatorics" at ICM'98
11. ^Humboldt Research Award
12. ^Humboldt Research Award
13. ^List of Fellows of the American Mathematical Society
14. ^Northeastern University, Academic Honors Convocation
15. ^2018 Steele Prize for Seminal Contribution to Research in Discrete Mathematics/Logic to Sergey Fomin and Andrei Zelevinsky
External links- [https://web.archive.org/web/20110723163152/http://www.math.neu.edu/zelevinsky/andrei.html Home page of Andrei Zelevinsky] (including [https://web.archive.org/web/20130416191132/http://www.math.neu.edu/zelevinsky/mycv.html CV])
- [https://web.archive.org/web/20130501012211/http://www.math.neu.edu/~bwebster/ACRT/index.html Conference in memory of Andrei Zelevinsky]
- Publications of Andrei Zelevinsky (in Russian)
- [https://web.archive.org/web/20110723163152/http://www.math.neu.edu/zelevinsky/andrei.html Publications of Andrei Zelevinsky (in English)]
- [https://web.archive.org/web/20130405220010/http://www.math.neu.edu/news/research-focus-andrei-zelevinskys-cluster-algebras/22_june_12 Research Focus: Andrei Zelevinsky's Cluster Algebras]
- Live journal run by Andrei Zelevinsky from 2007 to 2013
- {{MathGenealogy|42004}}
{{Authority control}}{{DEFAULTSORT:Zelevinsky, Andrei}} 9 : 20th-century American mathematicians|21st-century American mathematicians|Russian mathematicians|Northeastern University faculty|Fellows of the American Mathematical Society|1953 births|2013 deaths|International Mathematical Olympiad participants|Soviet mathematicians
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