Roger Evans Howe

{{Infobox scientist

| name = Roger Evans Howe

| image = Roger Howe 2010.jpg

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| caption = Roger Howe in 2010

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| birth_date = {{birth date and age |1945|05|23}}

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| nationality = American

| fields = Mathematics

| workplaces = {{ublist|State University of New York in Stony Brook|Yale University|Texas A&M University}}

| education =

| alma_mater = {{ublist|Harvard University|University of California, Berkeley}}

| thesis_title = On representations of nilpotent groups

| thesis_url = https://www.proquest.com/docview/302396445/

| thesis_year = 1969

| doctoral_advisor = Calvin C. Moore

| academic_advisors =

| doctoral_students = {{ublist|Ju-Lee Kim|Jian-Shu Li|Zeev Rudnick|Eng-Chye Tan|Chen-Bo Zhu}}

| notable_students =

| known_for = Representation theory

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| awards = NAS Member (1994)
AAAS Fellow (1993)
{{ublist|William Lowell Putnam Mathematical Competition|Lester R. Ford Award}}

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| website = {{URL|1=http://directory.cehd.tamu.edu/view.epl?nid=rogerhowe}}

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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.{{cite book|author1=Li, Yeping|author2=Lewis, W. James|author3=Madden, James (Eds.)|title=Mathematics Matters in Education. Essays in Honor of Roger E. Howe|publisher=Springer|year=2018|isbn=9783319614342}}

Biography

He attended Ithaca High School, then Harvard University as an undergraduate, becoming a Putnam Fellow in 1964.{{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 9, 2021}} He obtained his Ph.D. from University of California, Berkeley in 1969.{{cite thesis |title=On Representations of Nilpotent Groups |date=1969 |institution=University of California, Berkeley |degree=Ph.D. |last=Howe |first=Roger Evans |id={{ProQuest|302396445}} |oclc=25989512}} 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.{{cite news |url=https://today.tamu.edu/2015/06/05/world-renowned-mathematician-and-mathematics-educator-joins-faculty/ |title=World-renowned Mathematician and Mathematics Educator Joins Faculty |work=Texas A&M Today |date=June 5, 2015}}

He has been a fellow of the American Academy of Arts and Sciences since 1993, and a member of the National Academy of Sciences since 1994.{{citation needed|date=October 2020}}

Howe received a Lester R. Ford Award in 1984.{{cite journal|author=Howe, Roger|title=Very basic Lie theory|journal=Amer. Math. Monthly|volume=90|year=1983|issue=9|pages=600–623|url=http://www.maa.org/programs/maa-awards/writing-awards/very-basic-lie-theory|doi=10.2307/2323277|jstor=2323277}} 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."[http://opac.yale.edu/news/article.aspx?id=2184 Roger Howe Receives 2006 AMS Award for Distinguished Public Service] In 2012 he became a fellow of the American Mathematical Society.[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-01-21. In 2015 he received Texas A&M University's inaugural Award for Excellence in Mathematics Education.{{Cite web |last= |date=2015-06-05 |title=World-Renowned Mathematician and Mathematics Educator Joins Faculty |url=https://today.tamu.edu/2015/06/05/world-renowned-mathematician-and-mathematics-educator-joins-faculty/ |access-date=2024-12-04 |website=Texas A&M Today |language=en-US}} In 2022, he received the Mary P. Dolciani Award from the Mathematical Association of America.{{Cite web |title=The Mary P. Dolciani Award – Mathematical Association of America |url=https://maa.org/the-mary-p-dolciani-award/ |access-date=2024-12-04 |language=en-US}}

A conference in his honor was held at the National University of Singapore in 2006,{{cite web|url=https://imsarchives.nus.edu.sg/oldwww/Programs/rogerhoweconf/index.html|title=International Conference on Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory}} and at Yale University in 2015.{{cite web|url=https://math.mit.edu/events/howe/|title=Representation Theory, Number Theory and Invariant Theory}}

Selected works

1977: "Tamely ramified supercuspidal representations of $Gl_n$ ", Pacific Journal of Mathematics 73(2): 437–460.
1979: (with Calvin C. Moore) "Asymptotic properties of unitary representations", Journal of Functional Analysis 32(1): 72–96.
1979: "θ-series and invariant theory", in Automorphic forms, Representations and L-functions, Proceedings of Symposium on Pure Mathematics XXXIII, American Mathematical Society, pages 275–285.
1981: "Wave front sets of representations of Lie groups". Automorphic forms, Representation theory and Arithmetic (Bombay, 1979), pp. 117–140, Studies in Mathematics 10, Tata Institute of Fundamental Research
1982: "On a notion of rank for unitary representations of the classical groups". Harmonic analysis and group representations, 223–331, Liguori, Naples, 1982.
{{Citation | last1=Howe | first1=Roger | title=Remarks on classical invariant theory | jstor=2001418 | mr=0986027 | year=1989 | journal=Transactions of the American Mathematical Society | issn=0002-9947 | volume=313 | issue=2 | pages=539–570 | doi=10.2307/2001418 | doi-access=free }}
{{Citation | last1=Howe | first1=Roger | title=Transcending classical invariant theory | year=1989 | journal=Journal of the American Mathematical Society | volume=2 | issue=3 | pages=535–552 | doi=10.1090/S0894-0347-1989-0985172-6 | doi-access=free }}
1995: "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 University, Ramat Gan.
1992: (with Eng-Chye Tan) "Nonabelian harmonic analysis. Applications of SL(2,R)". Universitext. Springer-Verlag, {{ISBN|0-387-97768-6}}.
2007: (with William Barker) 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.