David Vogan

David Vogan
Born 8 September 1954 (1954-09-08) (age 64)
Mercer, Pennsylvania
Alma mater The University of Chicago
Massachusetts Institute of Technology
Known for Lowest K-types
Kazhdan–Lusztig–Vogan polynomials
Signature character
Vogan's conjecture for Dirac cohomology
Vogan diagrams
Awards Levi L. Conant Prize (2011)
Scientific career
Fields Mathematics
Institutions Massachusetts Institute of Technology
Doctoral advisor Bertram Kostant
Doctoral students Jing-Song Huang

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.

He received his Ph.D. from M.I.T. in 1976, under the supervision of Bertram Kostant.[1] He is 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. [2] In 2012 he became Fellow of the American Mathematical Society.[3] He was president of the AMS in 2013–2014.[4] He was elected to the National Academy of Sciences in 2013. [5]

Publications

  • Representations of real reductive Lie groups. Birkhäuser, 1981[6]
  • Unitary representations of reductive Lie groups. Princeton University Press, 1987 ISBN 0-691-08482-3[7]
  • 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)

See also

References

  1. ↑ David Vogan at the Mathematics Genealogy Project
  2. ↑ American Academy of Arts and Sciences Member Directory, retrieved 2017-11-20.
  3. ↑ List of Fellows of the American Mathematical Society, retrieved 2013-08-29.
  4. ↑ David A. Vogan, Jr. (1954 - ), AMS Presidents: A Timeline
  5. ↑ National Academy of Sciences Member Directory, retrieved 2017-09-01.
  6. ↑ Springer, A. T. (1983). Review: Representations of real reductive Lie groups, by David A. Vogan, jr (PDF). Bulletin of the American Mathematical Society. N.S. 8. pp. 365–371. doi:10.1090/s0273-0979-1983-15126-1.
  7. ↑ Knapp, A. W. (1989). "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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