David Vogan

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David Vogan
Born8 September 1954 (1954-09-08) (age 64)
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
Doctoral advisorBertram Kostant
Doctoral studentsJing-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] 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. [2] He served as Head of the Department of Mathematics at MIT from 1999 to 2004 [3]. In 2012 he became Fellow of the American Mathematical Society.[4] He was president of the AMS in 2013–2014.[5] He was elected to the National Academy of Sciences in 2013. [6] He is currently the Norbert Wiener Chair of Mathematics at MIT.

Publications[edit]

  • Representations of real reductive Lie groups. Birkhäuser, 1981[7]
  • Unitary representations of reductive Lie groups. Princeton University Press, 1987 ISBN 0-691-08482-3[8]
  • 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[edit]

External links[edit]