Alexander Alexandrovich Kirillov (born May 9, 1936, Moscow ) is a Soviet and Russian mathematician , teacher. Known for his work in the field of representation theory , topological groups and Lie groups .
| Alexander Alexandrovich Kirillov | |
|---|---|
 | |
| Date of Birth | May 9, 1936 (83 years old) |
| Place of Birth | |
| A country | |
| Scientific field | maths |
| Place of work | Moscow State University , University of Pennsylvania |
| Alma mater | MSU (mehmat) |
| Academic degree | Doctor of physico-mathematical sciences ( 1962 ) |
| Academic rank | Professor |
| supervisor | |
| Famous students | A.V. Zelevinsky , D.A. Kazhdan , A. Yu. Okunkov |
| Awards and prizes | [d] |
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Biography
As a schoolboy, he became the winner of the Moscow Mathematical Olympiad in 1953 and 1954. He graduated from the Faculty of Mechanics and Mathematics of Moscow State University (1959) and graduate school with him; student I.M. Gelfand , fellow student V.I. Arnold and S.N. Kruzhkov .
While defending his dissertation “Unitary representations of nilpotent Lie groups” [1] for the degree of candidate of physical and mathematical sciences (1962), he was awarded the degree of doctor of physical and mathematical sciences (at that time he became the youngest doctor of physical and mathematical sciences in the USSR). Professor (1965). Since 1962 he taught at the Faculty of Mechanics and Mathematics of Moscow State University. Since 1994 he has been teaching at the University of Pennsylvania . Chief Researcher, IPPI RAS .
Major works in the field of algebra and functional analysis . In topological algebra, Kirillov's formulas are known [2] ; in the theory of rings and models, the Gelfand – Kirillov dimension . Created the method of orbits in the theory of representations .
The author of 4 monographs and about 100 articles in scientific journals.
Laureate of the prize of the Moscow Mathematical Society for Young Mathematicians (1966).
Member of the editorial board of the journals Functional Analysis and Its Applications (in 1987-1995 he was editor in chief) and Moscow Mathematical Journal .
Since 2012, the Fell is the American Mathematical Society [3] .
Son - Alexander Kirillov - also a mathematician, lives and works in the United States.
Bibliography
- Kirillov A.A. Elements of the theory of representations. - 2nd ed. - M .: Science, 1978.
- Kirillov A.A., Gvishiani A.D. Theorems and problems of functional analysis. - M .: Nauka, 1979.- 380 s. The first edition of this book has been translated into English, French, Italian, and Hungarian. Then the book was reprinted in Russian.
Notes
- ↑ MFN catalog
- ↑ A. I. Molev, “Proof of the Kirillov-Kontsevich formula”, UMN, 39: 1 (235) (1984), 145-146.
- ↑ List of Fellows of the American Mathematical Society . Date of treatment August 4, 2013. Archived on August 13, 2013.