Roger Evans Howe
|Born||May 23, 1945|
|Known for||Representation theory|
|Awards||NAS Member (1994)|
AAAS Fellow (1993)
|Thesis||On representations of nilpotent groups (1969)|
|Doctoral advisor||Calvin C. Moore|
Roger Evans Howe (born May 23, 1945) is the William R. Kenan, Jr. Professor Emeritus of Mathematics at Yale University, and Curtis D. Robert Endowed Chair in Mathematics Education at Texas A&M University. He is known for his contributions to representation theory, in particular for the notion of a reductive dual pair and the Howe correspondence, and his contributions to mathematics education.
He attended Ithaca High School, then Harvard University as an undergraduate, becoming a Putnam Fellow in 1964. He obtained his Ph.D. from University of California, Berkeley in 1969. His thesis, titled On representations of nilpotent groups, was written under the supervision of Calvin Moore. Between 1969 and 1974, Howe taught at the State University of New York in Stony Brook before joining the Yale faculty in 1974. His doctoral students include Ju-Lee Kim, Jian-Shu Li, Zeev Rudnick, Eng-Chye Tan, and Chen-Bo Zhu. He moved to Texas A&M University in 2015.
Howe received a Lester R. Ford Award in 1984. In 2006 he was awarded the American Mathematical Society Distinguished Public Service Award in recognition of his "multifaceted contributions to mathematics and to mathematics education." In 2012 he became a fellow of the American Mathematical Society. In 2015 he received the inaugural Award for Excellence in Mathematics Education.
- Roger Howe, "Tamely ramified supercuspidal representations of ", Pacific Journal of Mathematics 73 (1977), no. 2, 437–460.
- Roger Howe and Calvin C. Moore, "Asymptotic properties of unitary representations", Journal of Functional Analysis 32 (1979), no. 1, 72–96.
- Roger Howe, "θ-series and invariant theory", in Automorphic forms, representations and L-functions (Proc. Sympos. Pure Math., XXXIII, American Mathematical Society), pp. 275–285, (1979).
- Roger Howe, "Wave front sets of representations of Lie groups". Automorphic forms, representation theory and arithmetic (Bombay, 1979), pp. 117–140, Tata Inst. Fund. Res. Studies in Math., 10, Tata Inst. Fundamental Res., Bombay, 1981.
- Roger Howe, "On a notion of rank for unitary representations of the classical groups". Harmonic analysis and group representations, 223–331, Liguori, Naples, 1982.
- Howe, Roger (1989), "Remarks on classical invariant theory", Transactions of the American Mathematical Society, 313 (2): 539–570, doi:10.2307/2001418, ISSN 0002-9947, JSTOR 2001418, MR 0986027
- Howe, Roger (1989), "Transcending classical invariant theory", Journal of the American Mathematical Society, 2 (3): 535–552, doi:10.1090/S0894-0347-1989-0985172-6
- Roger Howe, "Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond". The Schur lectures (1992) (Tel Aviv), 1–182, Israel Math. Conf. Proc., 8, Bar-Ilan Univ., Ramat Gan, 1995.
- Roger Howe & Eng-Chye Tan, "Nonabelian harmonic analysis. Applications of SL(2,R)". Universitext. Springer-Verlag, New York, 1992. xvi+257 pp. ISBN 0-387-97768-6.
- Roger Howe & William Barker (2007) Continuous Symmetry: From Euclid to Klein, American Mathematical Society, ISBN 978-0-8218-3900-3.
- Li, Yeping; Lewis, W. James; Madden, James (Eds.) (2018). Mathematics Matters in Education. Essays in Honor of Roger E. Howe. Springer. ISBN 9783319614342.
- "Putnam Competition Individual and Team Winners". Mathematical Association of America. Retrieved December 9, 2021.
- Howe, Roger Evans (1969). On Representations of Nilpotent Groups (Ph.D. thesis). University of California, Berkeley. OCLC 25989512. ProQuest 302396445.
- "World-renowned Mathematician and Mathematics Educator Joins Faculty". Texas A&M Today. June 5, 2015.
- Howe, Roger (1983). "Very basic Lie theory". Amer. Math. Monthly. 90 (9): 600–623. doi:10.2307/2323277. JSTOR 2323277.
- Roger Howe Receives 2006 AMS Award for Distinguished Public Service
- List of Fellows of the American Mathematical Society, retrieved 2013-01-21.
- Roger Howe Honored with the 2015 Award for Excellence in Mathematics Education.
- "International Conference on Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory".
- "Representation Theory, Number Theory and Invariant Theory".