User:Dkoosis/sandbox

DRAFT

Paul Koosis
Paul Koosis at McGill University.
Born	(19xxx--xxx), Brooklyn, New York xxx Massachusetts xxx
Nationality	American xxx
Alma mater	Purdue University University of Chicago (PhD) xxx
Known for	Kostant's convexity theorem Kostant partition function Kostant polynomial Geometric quantization Kostant–Parthasarathy–Ranga Rao–Varadarajan determinants Hochschild-Kostant-Rosenberg theorem xxx
Awards	Wigner Medal (2016) xxx
Scientific career
Fields	Mathematics
Institutions	Massachusetts Institute of Technology University of California, Berkeley xxx
Thesis	On Fourier Coefficients of Absolutely Continuous Measures
Doctoral advisor	John L. Kelley
Doctoral students	Henrik Laurberg Pedersen Javad Mashreghi

Paul Koosis (May 24, 1928 xxx – February 2, 2017 xxx ) is an American mathematician who worked in representation theory, differential geometry, and mathematical physics. xxx

Early life and education

xxx Kostant grew up in New York City, where he graduated from Stuyvesant High School in 1945. He went on to obtain an undergraduate degree in mathematics from Purdue University in 1950. He earned his Ph.D. from the University of Chicago in 1954, under the direction of Irving Segal, where he wrote a dissertation on representations of Lie groups.

Career in mathematics

After time at the Institute for Advanced Study, Princeton University, and the University of California, Berkeley, he joined the faculty at the Massachusetts Institute of Technology, where he remained until his retirement in 1993. Kostant's work has involved representation theory, differential geometry and mathematical physics.

His students include James Harris Simons, James Lepowsky, Moss Sweedler, David Vogan, and Birgit Speh. At present he has more than 100 mathematical descendants. xxx

Awards and honors

Kostant was a Guggenheim Fellow in 1959-60 (in Paris), and a Sloan Fellow in 1961-63. In 1962 he was elected to the American Academy of Arts and Sciences, and in 1978 to the National Academy of Sciences. xxx

Selected publications

• Kostant, Bertram (1955). "Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold". Trans. Amer. Math. Soc. 80 (2): 528–542. doi:10.1090/S0002-9947-1955-0084825-8.
• Kostant, Bertram (1970). "Quantization and unitary representations". In: Lectures in modern analysis and applications III. Lecture Notes in Mathematics 170. Vol. 170. pp. 87–208. doi:10.1007/BFb0079068. ISBN 978-3-540-05284-5.
• with Louis Auslander: Auslander, L.; Kostant, B. (1971). "Polarization and unitary representations of solvable Lie groups". Inventiones Mathematicae. 14 (4): 255–354. Bibcode:1971InMat..14..255A. doi:10.1007/BF01389744. S2CID 122009744.

See also

• Chern's conjecture (affine geometry)
• Supermanifold

References

• Kostant's home page at MIT
• Dkoosis/sandbox at the Mathematics Genealogy Project
• Brylinski, Jean-Luc, ed. (1994). Lie Theory and Geometry, In Honor of Paul Koosis. Boston, Birkhäuser. ISBN 0-8176-3761-3.

Category:1928 births Category:2017 deaths Category:20th-century American mathematicians Category:21st-century American mathematicians Category:Members of the United States National Academy of Sciences Category:Fellows of the American Mathematical Society Category:Institute for Advanced Study visiting scholars Category:Stuyvesant High School alumni Category:Purdue University alumni Category:University of Chicago alumni Category:Princeton University faculty Category:University of California, Berkeley faculty Category:Massachusetts Institute of Technology faculty Category:People from Brooklyn Category:Mathematicians from New York (state)