Alexandre Kirillov
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Alexandre Kirillov  

Born 
Moscow, Soviet Union 
May 9, 1936
Nationality  Russian 
Alma mater  Moscow State University 
Known for 
Kirillov character formula Kirillov orbit theory Kirillov model 
Scientific career  
Fields  Mathematics 
Doctoral advisor  Israel Gelfand 
Doctoral students 
Alexei Borodin Victor Ginzburg David Kazhdan Alexander Molev Andrei Okounkov 
Alexandre Aleksandrovich Kirillov (Russian: Алекса́ндр Алекса́ндрович Кири́ллов, born 1936) is a Soviet and Russian mathematician,^{[1]} known for his works in the fields of representation theory, topological groups and Lie groups. In particular he introduced the orbit method^{[2]} into representation theory.
Kirillov studied at Moscow State University where he was a student of Israel Gelfand. His Ph.D. (kandidat) dissertation Unitary representations of nilpotent Lie groups was published in 1962. He was awarded the degree of Doctor of Science. At the time he was the youngest Doctor of Science in the Soviet Union. He worked at the Moscow State University until 1994 when he became the Francis J. Carey Professor of Mathematics at the University of Pennsylvania.
During his school years, Kirillov was a winner of many mathematics competitions, and he is still an active organizer of Russian mathematical contests. Kirillov is an author of many popular schooloriented books and articles.
In 2012 he became a fellow of the American Mathematical Society.^{[3]}
Kirillov's son, Alexander Kirillov, Jr., is also a mathematician, working on the representation theory of Lie groups at the State University of New York at Stony Brook.
Publications
 Kirillov, A. A. (1976) [1972], Elements of the theory of representations, Grundlehren der Mathematischen Wissenschaften, 220, Berlin, New York: SpringerVerlag, ISBN 9780387074764, MR 0412321
 ——— (1999). "Merits and demerits of the orbit method". Bull. Amer. Math. Soc. (N.S.). 36 (4): 433–483. doi:10.1090/s0273097999008496. MR 1701415.
 ——— (2004), Lectures on the orbit method, Graduate Studies in Mathematics, 64, Providence, RI: American Mathematical Society, ISBN 0821835300.^{[4]}
References
 ^ Marathe, Kishore (20100818). Topics in Physical Mathematics. Springer. pp. 420–. ISBN 9781848829381. Retrieved 10 August 2012.
 ^ Huang, JingSong (1999). Lectures on Representation Theory. World Scientific. pp. 163–. ISBN 9789810237257. Retrieved 10 August 2012.
 ^ List of Fellows of the American Mathematical Society, retrieved 20130127.
 ^ Vogan Jr, David A. (2005). "Review: Lectures on the orbit method, by A. A. Kirillov". Bull. Amer. Math. Soc. (N.S.). 42 (4): 535–544. doi:10.1090/s0273097905010657.
External links
 Home page of Alexandre Kirillov
 O'Connor, John J.; Robertson, Edmund F., "Alexandre Kirillov", MacTutor History of Mathematics archive, University of St Andrews.
 Alexandre Kirillov at the Mathematics Genealogy Project
This article about a Russian mathematician is a stub. You can help Wikipedia by expanding it. 
 Russian mathematicians
 Soviet mathematicians
 20thcentury mathematicians
 21stcentury mathematicians
 Russian emigrants to the United States
 1936 births
 Living people
 Moscow State University alumni
 University of Pennsylvania faculty
 Fellows of the American Mathematical Society
 Russian mathematician stubs