Question: Information: - Alexandre Aleksandrovich Kirillov ( Russian : , 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 . - Lajos Pukanszky was a Hungarian and American mathematician noted for his work in representation theory of solvable Lie groups. He was born in Budapest on November 24, 1928, defended his thesis in 1955 at the University of Szeged under Bela Szkefalvi-Nagy, but left Hungary in 1956. After taking several posts in the United States (at the Research Institute of Advanced Studies in Baltimore, the University of Maryland, College Park, Stanford University, UCLA), in 1965 he became a professor at the University of Pennsylvania, where he stayed until his retirement. He gave an invited address at the International Congress of Mathematicians in Nice in 1970. In 1988 a conference entitled "The Orbit Method in Representation Theory" was held at the University of Copenhagen in honor of his sixtieth birthday. He died on February 15, 1996, in Philadelphia. - In mathematics, the orbit method (also known as the Kirillov theory, the method of coadjoint orbits and by a few similar names) establishes a correspondence between irreducible unitary representations of a Lie group and its coadjoint orbits: orbits of the action of the group on the dual space of its Lie algebra. The theory was introduced by for nilpotent groups and later extended by Bertram Kostant, Louis Auslander, Lajos Pukanszky and others to the case of solvable groups. Roger Howe found a version of the orbit method that applies to "p"-adic Lie groups. David Vogan proposed that the orbit method should serve as a unifying principle in the description of the unitary duals of real reductive Lie groups. What is the relationship between 'alexandre kirillov' and 'philadelphia'?
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