Alexandre Kirillov

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Alexander Kirillov
Kirillov orbit theory
Kirillov model
Scientific career
FieldsMathematics
InstitutionsUniversity of Pennsylvania
Moscow State University
Thesis Unitary representations of nilpotent Lie groups  (1962)
Doctoral advisorIsrael Gelfand
Doctoral studentsAlexei Borodin
Victor Ginzburg
David Kazhdan
Alexander Molev
Andrei Okounkov
Andrei Zelevinsky

Alexandre Aleksandrovich Kirilloff (

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. He is an emeritus professor at the University of Pennsylvania
.

Career

Kirillov studied at

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.[3]

Kirillov's son,

State University of New York at Stony Brook
.

Publications

  • Kirillov, A. A. (1976) [1972], Elements of the theory of representations, Grundlehren der Mathematischen Wissenschaften, vol. 220, Berlin, New York:
  • ——— (1999). "Merits and demerits of the orbit method". Bull. Amer. Math. Soc. (N.S.). 36 (4): 433–483. .
  • ——— (2004), Lectures on the orbit method,

References

External links