David Alexander Vogan, Jr. (born September 8, 1954) is a mathematician at the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the ...

who works on

unitary representation In mathematics, a unitary representation of a group ''G'' is a linear representation π of ''G'' on a complex Hilbert space ''V'' such that π(''g'') is a unitary operator for every ''g'' ∈ ''G''. The general theory is well-developed in case ''G ...

s of

simple Lie group In mathematics, a simple Lie group is a connected non-abelian Lie group ''G'' which does not have nontrivial connected normal subgroups. The list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symm ...

s. While studying at

the University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the be ...

, he became a

Putnam Fellow The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...

in 1972. He received his

Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...

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 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. He served as Head of the Department of Mathematics at MIT from 1999 to 2004. In 2012 he became Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

. He was president of the AMS in 2013–2014. He was elected to the National Academy of Sciences in 2013. He was the Norbert Wiener Chair of Mathematics at MIT until his retirement in 2020.

Publications

* ''Representations of real reductive Lie groups.'' Birkhäuser, 1981 * ''Unitary representations of reductive Lie groups.''

Princeton University Press Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financia ...

, 1987 * 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 ''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume appeared in 1953. Each issue of the magazine since ...

'' Nr. 9, 2007 (PDF)

References

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. Living people Massachusetts Institute of Technology School of Science alumni 20th-century American mathematicians 21st-century American mathematicians Putnam Fellows Fellows of the American Mathematical Society 1954 births Presidents of the American Mathematical Society University of Chicago alumni Mathematicians from Pennsylvania People from Mercer, Pennsylvania {{US-mathematician-stub