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Roger Evans Howe








Roger Evans Howe


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Roger Evans Howe

Roger Howe 2010.jpg
Roger Howe in 2010

Born
(1945-05-23) May 23, 1945 (age 73)
NationalityUS
Alma mater
  • Harvard University

  • University of California, Berkeley

Known forRepresentation theory
Awards
  • William Lowell Putnam Mathematical Competition

  • Lester R. Ford Award

Scientific career
FieldsMathematics
Institutions
  • State University of New York in Stony Brook

  • Yale University

  • Texas A&M University

Thesis
On representations of nilpotent groups (1969)
Doctoral advisorCalvin C. Moore
Doctoral students
  • Ju-Lee Kim

  • Jian-Shu Li

  • Zeev Rudnick

  • Eng-Chye Tan

  • Chen-Bo Zhu


Websitedirectory.cehd.tamu.edu/view.epl?nid=rogerhowe

Roger Evans Howe (born May 23, 1945) is 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 well known for his contributions to representation theory, and in particular for the notion of a reductive dual pair, sometimes known as a Howe pair, and the Howe correspondence. His contributions to mathematics education is also well-documented. [1]






Contents





  • 1 Biography


  • 2 Selected works


  • 3 See also


  • 4 References


  • 5 External links




Biography[edit]


He attended Ithaca High School, then Harvard University as an undergraduate, winning the William Lowell Putnam Mathematical Competition 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.[2]


He has been a member of the American Academy of Arts and Sciences since 1993, and a member of the National Academy of Sciences since 1994.


Howe received a Lester R. Ford Award in 1984.[3] 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."[4] In 2012 he became a fellow of the American Mathematical Society.[5]



Selected works[edit]


  • Roger Howe, "Tamely ramified supercuspidal representations of Gln", 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.mw-parser-output cite.citationfont-style:inherit.mw-parser-output qquotes:"""""""'""'".mw-parser-output code.cs1-codecolor:inherit;background:inherit;border:inherit;padding:inherit.mw-parser-output .cs1-lock-free abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-lock-limited a,.mw-parser-output .cs1-lock-registration abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-lock-subscription abackground:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registrationcolor:#555.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration spanborder-bottom:1px dotted;cursor:help.mw-parser-output .cs1-hidden-errordisplay:none;font-size:100%.mw-parser-output .cs1-visible-errorfont-size:100%.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-formatfont-size:95%.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-leftpadding-left:0.2em.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-rightpadding-right:0.2em


  • 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 .

    • Robin Hartshorne (2011) Review of Continuous Symmetry, American Mathematical Monthly 118:565–8.


See also[edit]


  • Oscillator semigroup


References[edit]



  1. ^ Li, Yeping; Lewis, W. James; Madden, James (Eds.) (2018). Mathematics Matters in Education. Essays in Honor of Roger E. Howe. Springer. ISBN 9783319614342.CS1 maint: Extra text: authors list (link)


  2. ^ "World-renowned Mathematician and Mathematics Educator Joins Faculty". Texas A&M Today. June 5, 2015.


  3. ^ Howe, Roger (1983). "Very basic Lie theory". Amer. Math. Monthly. 90: 600–623. doi:10.2307/2323277.


  4. ^ Roger Howe Receives 2006 AMS Award for Distinguished Public Service


  5. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-21.



External links[edit]


  • Official website


  • Roger Evans Howe at the Mathematics Genealogy Project








Retrieved from "https://en.wikipedia.org/w/index.php?title=Roger_Evans_Howe&oldid=866240770"





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