David Vogan Explained

David Vogan
Birth Place:	Mercer, Pennsylvania
Fields:	Mathematics
Workplaces:	Massachusetts Institute of Technology
Alma Mater:	The University of Chicago Massachusetts Institute of Technology
Thesis Title:	Lie algebra cohomology and the representations of semisimple Lie groups
Thesis Year:	1976
Doctoral Advisor:	Bertram Kostant
Doctoral Students:	Jing-Song Huang Monica Nevins Peter Trapa^[1]
Known For:	Lusztig-Vogan polynomials Vogan diagram Minimal K-type Vogan's conjecture for Dirac cohomology Signature character
Awards:	Levi L. Conant Prize (2011)

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. In his thesis, he introduced the notion of lowest K type in the course of obtainingan 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.^[3] He served as Head of the Department of Mathematics at MIT from 1999 to 2004.^[4] In 2012 he became Fellow of the American Mathematical Society.^[5] He was president of the AMS in 2013–2014.^[6] He was elected to the National Academy of Sciences in 2013.^[7] 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.^[8]

Publications

Representations of real reductive Lie groups. Birkhäuser, 1981^[9]
Unitary representations of reductive Lie groups. Princeton University Press, 1987 ^[10]
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
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)

External links

Home page for David Vogan
專訪 David Vogan 教授 (Interview with Prof. David Vogan, in Chinese) in 數學傳播.

Notes and References

Web site: Vogan . David . CURRICULUM VITAE: David A. Vogan, Jr. . MIT Maths: Vita16 . Massachusetts Institute of Technology Department of Mathematics . 16 July 2021 . https://web.archive.org/web/20210716153646/https://math.mit.edu/~dav/vita16.pdf . 16 July 2021 . 5.
Web site: Putnam Competition Individual and Team Winners . Mathematical Association of America. December 13, 2021.
https://www.amacad.org/peerCollaboration/profile.aspx?c=psa&q=vogan American Academy of Arts and Sciences Member Directory
Web site: David Vogan. MIT. Mathematics Department Faculty. 2020-02-17. 2022-09-15. https://web.archive.org/web/20220915210515/https://math.mit.edu/directory/profile.php?pid=286. dead.
https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society
https://www.ams.org/about-us/presidents/62-vogan David A. Vogan, Jr. (1954 -), AMS Presidents: A Timeline
http://www.nasonline.org/member-directory/members/2518429.html National Academy of Sciences Member Directory
Web site: Department of Mathematics . Massachusetts Institute of Technology . Directory: David Vogan MIT Mathematics . math.mit.edu . 16 July 2021 . https://web.archive.org/web/20210415155546/https://math.mit.edu/directory/profile.php?pid=286 . 15 April 2021 . He retired from MIT as Emeritus Professor July 2020.
Springer, T. A. . T. A. Springer. Review: Representations of real reductive Lie groups, by David A. Vogan, jr. Bulletin of the American Mathematical Society. N.S.. 1983. 8. 2. 365–371. 10.1090/s0273-0979-1983-15126-1. free.
Knapp, A. W. . Anthony W. Knapp. Review: Unitary representations of reductive Lie groups, by David A. Vogan, jr. Bulletin of the American Mathematical Society. N.S.. 1989. 21. 2. 380–384. 10.1090/s0273-0979-1989-15872-2. free.