James Glimm

{{Infobox scientist

| name = James G. Glimm

| image = James Glimm, Apr 1972 (headshot).jpg

| image_size =

| caption =

| birth_name = James Gilbert Glimm

| birth_date = {{birth date and age|1934|3|24}}

| birth_place = Peoria, Illinois, U.S.

| alma_mater = Columbia University

| known_for = {{no wrap|Constructive quantum field theory}}

| prizes = Guggenheim Fellowship {{small|(1963)}}
ICM Speaker {{small|(1974)}}
Heineman Prize {{small|(1980)}}
Leroy P. Steele Prize {{small|(1993)}}
National Medal of Science {{small|(2002)}}

| fields = Mathematics

| workplaces = Institute of Advanced Study
MIT
The Rockefeller University
New York University
Stony Brook University

| doctoral_advisor = Richard Kadison

| doctoral_students = {{plainlist|

}}

James Gilbert Glimm (born March 24, 1934) is an American mathematician, former president of the American Mathematical Society, and distinguished professor at Stony Brook University. He has made many contributions in the areas of pure and applied mathematics.

Life and career

File:James Glimm - National Medal of Science, 2002.webm

James Glimm was born in Peoria, Illinois, United States on March 24, 1934.{{Cite web|url=https://www.ams.org/about-us/presidents/59-glimm|title=AMS Presidents: James Glimm|website=American Mathematical Society}} He received his BA in engineering from Columbia University in 1956. He continued on to graduate school at Columbia where he received his Ph.D. in mathematics in 1959; his advisor was Richard V. Kadison.{{Cite web|url=http://www.ams.sunysb.edu/~glimm/Vita%20James%20Glimm.htm|title=Vita: James Glimm}} Glimm was at New York University, and at Rockefeller University, before arriving at Stony Brook University in 1989.

He has been noted for contributions to C*-algebras, quantum field theory, partial differential equations, fluid dynamics, scientific computing, and the modeling of petroleum reservoirs. Together with Arthur Jaffe, he has founded a subject called constructive quantum field theory. His early work in the theory of operator algebras was seminal, and today the "Glimm algebras" that bear his name continue to play an important role in this area of research.{{Cite web|url=https://www.ams.org/about-us/presidents/59-glimm#sthash.P2MiH5UG.dpufThe|title=AMS Presidents: James Glimm|website=American Mathematical Society}} More recently, the United States Department of Energy adopted Glimm's front-track methodology for shock-wave calculations, e.g., simulating weapons performance.{{Cite web|url=http://www.ams.sunysb.edu/CAM/CAMpeople.shtml|title=Department of Applied Mathematics and Statistics, Stony Brook|access-date=April 27, 2014|archive-date=June 4, 2014|archive-url=https://web.archive.org/web/20140604170400/http://www.ams.sunysb.edu/CAM/CAMpeople.shtml|url-status=dead}}

Glimm was elected to the National Academy of Sciences in 1984. He was an Invited Speaker of the ICM in 1970 at NiceGlimm, James. [http://www.mathunion.org/ICM/ICM1970.3/Main/icm1970.3.0003.0008.ocr.pdf "Quantum field theory models."] {{Webarchive|url=https://web.archive.org/web/20171207012812/http://www.mathunion.org/ICM/ICM1970.3/Main/icm1970.3.0003.0008.ocr.pdf |date=December 7, 2017 }} Actes, Congrès int. Math., Nice, 1970. Tome 3: 3–8. and a Plenary Speaker of the ICM in 1974 at Vancouver.Glimm, James. [http://www.mathunion.org/ICM/ICM1974.1/Main/icm1974.1.0119.0126.ocr.pdf "Analysis over infinite-dimensional spaces and applications to quantum field theory."] {{Webarchive|url=https://web.archive.org/web/20131228050400/http://www.mathunion.org/ICM/ICM1974.1/Main/icm1974.1.0119.0126.ocr.pdf |date=2013-12-28 }} Proceedings of the International Congress of Mathematicians, Vancouver, 1974. vol. 1: 119–126. In 1993, Glimm was awarded the Leroy P. Steele Prize for his contribution to solving hyperbolic systems of partial differential equations.[http://www-history.mcs.st-andrews.ac.uk/Societies/AMSSteelePrize.html Timeline AMS Steel Prizes], He won the National Medal of Science in 2002 "For his original approaches and creative contribution to an array of disciplines in mathematical analysis and mathematical physics".{{cite web| url=https://www.ams.org/notices/200508/pres-elect.pdf |title=Nominations for President Elect |publisher=Notices of the AMS}} Starting January 1, 2007, he served a 2-year term as president of the American Mathematical Society. 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 2013-01-19.

Appointments

Years	Appointments
class=wikitable
1999-	Staff Member, Computational Science Center, Brookhaven National Laboratory
1989-	Distinguished Professor, SUNY at Stony Brook
1982-89	Professor, Courant Institute of Mathematical Sciences, New York University
1974-82	Professor, The Rockefeller University
1968-74	Professor, Courant Institute of Mathematical Sciences, New York University
1960-68	Professor, Associate Professor, Assistant Professor, MIT
1959-60	Temporary Member, Institute for Advanced Study

Selected publications

{{citation |last1=Glimm |first1=James |title=Solutions in the large for nonlinear hyperbolic systems of equations |journal=Communications on Pure and Applied Mathematics |volume=18 |pages=697–715 |year=1965 |issue=4 |doi=10.1002/cpa.3160180408}}
{{citation |last1=Glimm |first1=James |title=On a certain class of operator algebras. |journal=Transactions of the American Mathematical Society |volume=95 |issue=2 |date=May 1960 |pages=318–340 |jstor=1993294 |doi=10.2307/1993294 |doi-access=free}}
{{citation |last1=Glimm |first1=James |title=A Stone-Weierstrass theorem for C*-algebras. |journal=Annals of Mathematics |series=Second Series |volume=72 |issue=2 |date=September 1960 |pages=216–244 |jstor=1970133 |doi=10.2307/1970133}}
{{citation |last1=Glimm |first1=James |title=Type I C*-algebras. |journal=Annals of Mathematics |series=Second Series |volume=73 |issue=3 |date=May 1961 |pages=572–612 |jstor=1970319 |doi=10.2307/1970319}}
{{citation |last1=Glimm |first1=James |title=Three-Dimensional Front Tracking |journal=SIAM J. Sci. Comput. |year=1998 |volume=19 |issue=3 |pages=703–727 |doi=10.1137/S1064827595293600 |bibcode=1998SJSC...19..703G |display-authors=etal |citeseerx=10.1.1.57.569}}
{{citation |last1=Glimm |first1=James |title=Front tracking for hyperbolic systems |journal=Advances in Applied Mathematics |volume=2 |issue=1 |date=March 1981 |pages=91–119 |doi=10.1016/0196-8858(81)90040-3 |display-authors=etal |doi-access=free}}
{{citation |last1=Glimm |first1=James |last2=Jaffe |first2=Arthur |title=The λ (φ4) 2 quantum field theory without cutoffs: II. the field operators and the approximate vacuum |journal=Annals of Mathematics |series=Second Series |volume=91 |issue=2 |date=March 1970 |pages=362–401 |jstor=1970582 |doi=10.2307/1970582}}
{{citation |last1=Glimm |first1=James |last2=Jaffe |first2=Arthur |title=Positivity of the φ 34 Hamiltonian. |journal=Fortschritte der Physik |volume=21 |issue=7 |pages=327–376 |year=1973 |doi=10.1002/prop.19730210702 |bibcode=1973ForPh..21..327G}}
(Book) {{citation |last1=Glimm |first1=James |last2=Jaffe |first2=Arthur |title=Quantum physics : a functional integral point of view |publisher=Springer |year=1981 |location=New york, NY |isbn=9781468401219}}
(Book) {{citation |last1=Glimm |first1=James |last2=Lax |first2=Peter |title=Decay of solutions of systems of nonlinear hyperbolic conservation laws |series=Memoirs of the American Mathematical Society |volume=101 |year=1970 |isbn=0-8218-1801-5}}

References

External links

{{MathGenealogy|id=13386}}
[http://www.ams.sunysb.edu/~glimm/ Home Page] {{Webarchive|url=https://web.archive.org/web/20200219003854/http://www.ams.sunysb.edu/~glimm/ |date=February 19, 2020 }}, at Stony Brook

Category:Members of the United States National Academy of Sciences

Category:20th-century American mathematicians

Category:21st-century American mathematicians

Category:Stony Brook University faculty

Category:Columbia School of Engineering and Applied Science alumni

Category:Living people

Category:National Medal of Science laureates

Category:American fluid dynamicists

Category:1934 births

Category:Fellows of the Society for Industrial and Applied Mathematics

Category:Fellows of the American Mathematical Society

Category:Brookhaven National Laboratory staff