Nationality Russian Fields Mathematics | Role Mathematician Name Alexandre Kirillov Doctoral advisor Israel Gelfand | |
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Born May 9, 1936 (age 87)
Moscow, Soviet Union ( 1936-05-09 ) Alma mater Moscow State University Doctoral students Alexei Borodin
Victor Ginzburg
David Kazhdan
Alexander Molev
Andrei Okounkov Known for Kirillov character formula
Kirillov orbit theory
Kirillov model Notable students David Kazhdan, Andrei Okounkov, Andrei Zelevinsky, Victor Ginzburg Books Elements of the theory of r, Theorems and problems, Lectures on the Orbit Method Similar People Israel Gelfand, Andrei Okounkov, David Kazhdan, Andrei Zelevinsky, Victor Ginzburg | ||
Education Moscow State University | ||
Alexandre Aleksandrovich Kirillov (Russian: Алекса́ндр Алекса́ндрович Кири́ллов, born 1936) is a Soviet and Russian mathematician, known for his works in the fields of representation theory, topological groups and Lie groups. In particular he introduced the orbit method 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 school-oriented books and articles.
In 2012 he became a fellow of the American Mathematical Society.
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.