|James G. Glimm|
March 24, 1934 |
|Institutions||Institute of Advanced Study
The Rockefeller University
New York University
Stony Brook University
|Alma mater||Columbia University|
|Doctoral advisor||Richard Kadison|
|Doctoral students||Thomas Spencer|
|Known for||Constructive quantum field theory|
|Notable awards||Heineman Prize (1980)
Leroy P. Steele Prize (1993)
National Medal of Science (2002)
James Gilbert Glimm (born 24 March 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
James Glimm was born in Peoria, Illinois, USA on 24 March 1934. 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. Glimm had significant stints 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.  More recently, the United States Department of Energy adopted Glimm’s front-track methodology for shock-wave calculations, e.g., simulating weapons performance.
Glimm was elected to the National Academy of Sciences in 1984. In 1993, Glimm was awarded the Leroy P. Steele Prize for his contribution to solving hyperbolic systems of partial differential equations. 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". 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.
|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|
- Glimm, James, "Solutions in the large for nonlinear hyperbolic systems of equations", Communications on Pure and Applied Mathematics 18: 697–715 (1965), doi:10.1002/cpa.3160180408
- Glimm, James, "On a certain class of operator algebras.", Transactions of the American Mathematical Society Vol. 95, No. 2 (May, 1960), pp. 318-340 link: http://www.jstor.org/stable/1993294
- Glimm, James, "A Stone-Weierstrass theorem for C*-algebras.", Annals of Mathematics Second Series, Vol. 72, No. 2 (Sep., 1960), pp. 216-244 link: http://www.jstor.org/stable/1970133
- Glimm, James, "Type IC*-algebras.", Annals of Mathematics Second Series, Vol. 73, No. 3 (May, 1961), pp. 572-612 link: http://www.jstor.org/stable/1970319
- Glimm, James et al., "Three-Dimensional Front Tracking", SIAM J. Sci. Comput., 19(3), 703–727., doi:10.1137/S1064827595293600
- Glimm, James et al., "Front tracking for hyperbolic systems", Advances in Applied Mathematics Volume 2, Issue 1, March 1981, Pages 91–119, doi:10.1016/0196-8858(81)90040-3
- Glimm, James; Jaffe, Arthur, "The λ (φ4) 2 quantum field theory without cutoffs: II. the field operators and the approximate vacuum", Annals of Mathematics Second Series, Vol. 91, No. 2 (Mar., 1970), pp. 362-401 link: http://www.jstor.org/stable/1970582
- Glimm, James; Jaffe, Arthur, "Positivity of the φ 34 Hamiltonian.", Fortschritte der Physik Volume 21, Issue 7, pages 327–376, 19731, doi:10.1002/prop.19730210702
- (Book) Glimm, James; Jaffe, Arthur, Quantum physics : a functional integral point of view, New york, NY: Springer, 1981. - 417 p., ISBN 9781468401219
- (Book) Glimm, James; Lax, Peter, Decay of solutions of systems of nonlinear hyperbolic conservation laws, Vol. 101. American Mathematical Soc., 1970, ISBN 0-8218-1801-5
- AMS Presidents: A Timeline
- Department of Applied Mathematics and Statistics, Stony Brook
- Timeline AMS Steel Prizes,
- List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
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