| Alexandre Kirillov | |
|---|---|
| Born | 1936 (age 75–76) |
| Nationality | Russia |
| Fields | Mathematics |
| Alma mater | Moscow State University |
| Doctoral advisor | Israel Gelfand |
| Doctoral students | Victor Ginzburg David Kazhdan Andrei Okounkov |
| Known for | Kirillov character formula Kirillov orbit theory Kirillov model |
Alexandre Aleksandrovich Kirillov (Russian: Алекса́ндр Алекса́ндрович Кири́ллов, born 1936) is a Soviet and Russian mathematician, renowned 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 1962 was so successful that he was awarded the much higher degree of Doctor of Science instead. 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, where he still teaches as of 2011.
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.
Kirillov's son, Alexander Kirillov, Jr., is also a professional mathematician, working on the representation theory of Lie groups at the State University of New York at Stony Brook.