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]] monograph "[[Discriminant]]s, [[Resultants| resultants]], and [[Hyperdeterminant| |
* joint with [[Israel Gelfand| I. Gelfand]] and [[Mikhail Kapranov| M. Kapranov]] monograph "[[Discriminant]]s, [[Resultants| resultants]], and [[Hyperdeterminant| multidimensional determinants]]"<ref> |
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Revision as of 13:14, 19 April 2013
Andrei Zelevinsky | |
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![]() Andrei Zelevinsky (picture from Wikimedia Commons) | |
Born | |
Died | |
Nationality | USSR, USA |
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, whose main contributions belong to the fields of algebra, combinatorics, and representation theory.
Biography
In 1969, Zelevinsky graduated from the Moscow Mathematical School No. 2[2], and as the member of the USSR team at the International Mathematical Olympiad, where he won a silver medal[3], was admitted without examinations to the mathematics department of the Moscow State University. He studied under the mentorship of Joseph Bernstein, Alexandre Kirillov and Israel Gelfand, and obtained his PhD degree 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 80ies, at a great personal risk, he taught at Jewish Peoples' University,[6] an unofficial formation where young talented Moscow students denied admission to the math department of the Moscow State University, could receive comparable math education. In 1990-91, Zelevinsky was a visiting professor at Cornell University, and since 1991 and until his unexpected death taught at Northeastern University, Boston, MA.
Research
Zelevinsky's contributions include:
- Bernstein–Zelevinsky classification of representations of p-adic groups;
- joint with I. Gelfand and M. Kapranov monograph "Discriminants, resultants, and multidimensional determinants"[7]
- 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)[8]
- Fellow (2012) of the American Mathematical Society[9]
- University Distinguished Professorship (2013) at Northeastern University[10]
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
- ^
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
External Links
- Home page of Andrei Zelevinsky
- 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