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David Vogan

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David Vogan
Born8 September 1954 (1954-09-08) (age 70)
Mercer, Pennsylvania
Alma materThe University of Chicago
Massachusetts Institute of Technology
Known forLusztig-Vogan polynomials
Vogan diagram
Minimal K-type
Vogan's conjecture for Dirac cohomology
Signature character
AwardsLevi L. Conant Prize (2011)
Scientific career
FieldsMathematics
InstitutionsMassachusetts Institute of Technology
Thesis Lie algebra cohomology and the representations of semisimple Lie groups  (1976)
Doctoral advisorBertram Kostant
Doctoral students

David Alexander Vogan Jr. (born September 8, 1954) is a mathematician at the Massachusetts Institute of Technology who works on unitary representations of simple Lie groups.

While studying at the University of Chicago, he became a Putnam Fellow in 1972.[2] He received his Ph.D. from M.I.T. in 1976, under the supervision of Bertram Kostant.[3] In his thesis, he introduced the notion of lowest K type in the course of obtaining an algebraic classification of irreducible Harish Chandra modules. He is currently one of the participants in the Atlas of Lie Groups and Representations.

Vogan was elected to the American Academy of Arts and Sciences in 1996.[4] He served as Head of the Department of Mathematics at MIT from 1999 to 2004.[5] In 2012 he became Fellow of the American Mathematical Society.[6] He was president of the AMS in 2013–2014.[7] He was elected to the National Academy of Sciences in 2013.[8] He was the Norbert Wiener Chair of Mathematics at MIT until his retirement in 2020, and is currently the Norbert Wiener Emeritus Professor of Mathematics.[9]

Publications

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  • Representations of real reductive Lie groups. Birkhäuser, 1981[10]
  • Unitary representations of reductive Lie groups. Princeton University Press, 1987 ISBN 0-691-08482-3[11]
  • with Paul Sally (ed.): Representation theory and harmonic analysis on semisimple Lie groups. American Mathematical Society, 1989
  • with Jeffrey Adams & Dan Barbasch (ed.): The Langlands Classification and Irreducible Characters for Real Reductive Groups. Birkhäuser, 1992
  • with Anthony W. Knapp: Cohomological Induction and Unitary Representations. Princeton University Press, 1995 ISBN 0-691-03756-6
  • with Joseph A. Wolf and Juan Tirao (ed.): Geometry and representation theory of real and p-adic groups. Birkhäuser, 1998
  • with Jeffrey Adams (ed.): Representation theory of Lie groups. American Mathematical Society, 2000
  • The Character Table for E8. In: Notices of the American Mathematical Society Nr. 9, 2007 (PDF)

References

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  1. ^ Vogan, David. "CURRICULUM VITAE: David A. Vogan, Jr" (PDF). MIT Maths: Vita16. Massachusetts Institute of Technology Department of Mathematics. p. 5. Archived from the original on 16 July 2021. Retrieved 16 July 2021.
  2. ^ "Putnam Competition Individual and Team Winners". Mathematical Association of America. Retrieved December 13, 2021.
  3. ^ David Vogan at the Mathematics Genealogy Project
  4. ^ American Academy of Arts and Sciences Member Directory Archived 2017-12-01 at the Wayback Machine, retrieved 2017-11-20.
  5. ^ "David Vogan". Mathematics Department Faculty. MIT. Archived from the original on 2022-09-15. Retrieved 2020-02-17.
  6. ^ List of Fellows of the American Mathematical Society, retrieved 2013-08-29.
  7. ^ David A. Vogan, Jr. (1954 - ), AMS Presidents: A Timeline
  8. ^ National Academy of Sciences Member Directory, retrieved 2017-09-01.
  9. ^ Department of Mathematics, Massachusetts Institute of Technology. "Directory: David Vogan MIT Mathematics". math.mit.edu. Archived from the original on 15 April 2021. Retrieved 16 July 2021. He retired from MIT as Emeritus Professor July 2020
  10. ^ Springer, T. A. (1983). "Review: Representations of real reductive Lie groups, by David A. Vogan, jr" (PDF). Bulletin of the American Mathematical Society. N.S. 8 (2): 365–371. doi:10.1090/s0273-0979-1983-15126-1.
  11. ^ Knapp, A. W. (1989). "Review: Unitary representations of reductive Lie groups, by David A. Vogan, jr" (PDF). Bulletin of the American Mathematical Society. N.S. 21 (2): 380–384. doi:10.1090/s0273-0979-1989-15872-2.
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