David Vogan
{{short description|American mathematician}}
{{Infobox scientist
| name = David Vogan
| image =
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| birth_date = {{birth-date and age|8 September 1954}}
| birth_place = Mercer, Pennsylvania
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| nationality =
| 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 = {{plainlist|1=
- Jing-Song Huang
- Monica Nevins
- Peter Trapa{{cite web |last1=Vogan |first1=David |title=CURRICULUM VITAE: David A. Vogan, Jr. |url=https://math.mit.edu/~dav/vita16.pd |website=MIT Maths: Vita16 |publisher=Massachusetts Institute of Technology Department of Mathematics |access-date=16 July 2021 |archive-url=https://web.archive.org/web/20210716153646/https://math.mit.edu/~dav/vita16.pdf |archive-date=16 July 2021 |page=5}}
}}
| 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.{{cite web|title=Putnam Competition Individual and Team Winners |url=http://www.maa.org/programs/maa-awards/putnam-competition-individual-and-team-winners |publisher=Mathematical Association of America|access-date=December 13, 2021}} He received his Ph.D. from M.I.T. in 1976, under the supervision of Bertram Kostant.{{MathGenealogy|id=37052}} 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.[https://www.amacad.org/peerCollaboration/profile.aspx?c=psa&q=vogan American Academy of Arts and Sciences Member Directory] {{Webarchive|url=https://web.archive.org/web/20171201100040/https://www.amacad.org/peerCollaboration/profile.aspx?c=psa&q=vogan |date=2017-12-01 }}, retrieved 2017-11-20. He served as Head of the Department of Mathematics at MIT from 1999 to 2004.{{cite web|title=David Vogan|publisher=MIT|work=Mathematics Department Faculty|url=https://math.mit.edu/directory/profile.php?pid=286|access-date=2020-02-17|archive-date=2022-09-15|archive-url=https://web.archive.org/web/20220915210515/https://math.mit.edu/directory/profile.php?pid=286|url-status=dead}}
In 2012 he became Fellow of the American Mathematical Society.[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-08-29. He was president of the AMS in 2013–2014.[https://www.ams.org/about-us/presidents/62-vogan David A. Vogan, Jr. (1954 - ), AMS Presidents: A Timeline] He was elected to the National Academy of Sciences in 2013.[http://www.nasonline.org/member-directory/members/2518429.html National Academy of Sciences Member Directory], retrieved 2017-09-01.
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.{{cite web |last1=Department of Mathematics |first1=Massachusetts Institute of Technology |title=Directory: David Vogan MIT Mathematics |url=https://math.mit.edu/directory/profile.php?pid=286 |website=math.mit.edu |access-date=16 July 2021 |archive-url=https://web.archive.org/web/20210415155546/https://math.mit.edu/directory/profile.php?pid=286 |archive-date=15 April 2021 |quote=He retired from MIT as Emeritus Professor July 2020}}
Publications
- Representations of real reductive Lie groups. Birkhäuser, 1981{{cite journal|author=Springer, T. A. |author-link=T. A. Springer|title=Review: Representations of real reductive Lie groups, by David A. Vogan, jr|journal=Bulletin of the American Mathematical Society| series=N.S.|year=1983|volume=8|issue=2|pages=365–371|url=https://www.ams.org/journals/bull/1983-08-02/S0273-0979-1983-15126-1/S0273-0979-1983-15126-1.pdf|doi=10.1090/s0273-0979-1983-15126-1|doi-access=free}}
- Unitary representations of reductive Lie groups. Princeton University Press, 1987 {{isbn|0-691-08482-3}}{{cite journal|author=Knapp, A. W. |author-link= Anthony W. Knapp|title=Review: Unitary representations of reductive Lie groups, by David A. Vogan, jr|journal=Bulletin of the American Mathematical Society| series=N.S.|year=1989|volume=21|issue=2|pages=380–384|url=https://www.ams.org/journals/bull/1989-21-02/S0273-0979-1989-15872-2/S0273-0979-1989-15872-2.pdf|doi=10.1090/s0273-0979-1989-15872-2|doi-access=free}}
- 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: [https://books.google.com/books/about/Cohomological_Induction_and_Unitary_Repr.html?id=-dL9HXRV8IgC 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
- [https://www.ams.org/notices/200709/ The Character Table for E8]. In: Notices of the American Mathematical Society Nr. 9, 2007 (PDF)
References
{{reflist}}
External links
- [http://www-math.mit.edu/~dav/ Home page] for David Vogan
- [https://web.math.sinica.edu.tw/mathmedia/interview18.jsp?mID=36101 專訪 David Vogan 教授 (Interview with Prof. David Vogan, in Chinese)] in 數學傳播.
{{AMS Presidents}}
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Category:Massachusetts Institute of Technology School of Science alumni
Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:Fellows of the American Mathematical Society
Category:Presidents of the American Mathematical Society
Category:University of Chicago alumni
Category:Mathematicians from Pennsylvania
Category:People from Mercer, Pennsylvania
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