James Glimm
James Glimm ( born March 24, 1934 in Peoria, Illinois) is an American mathematician and mathematical physicist.
Life
James Glimm initially studied engineering at Columbia University ( BA 1956) and thereafter mathematics, in which he earned his doctorate under Richard Kadison, 1959 ( On A Certain class of operator algebras ). 1959/60 he was at the Institute for Advanced Study, 1960-1968 at MIT ( where he advanced from Associate Professor to Professor ), 1968-1974 and 1982-1989 Professor at the Courant Institute of Mathematical Sciences of New York University ( between 1974-1982 Professor at the Rockefeller University), and from 1989 professor at the State University of New York at Stony Brook. From 1999 he was also on Computational Science Center at Brookhaven National Laboratory.
Services
Glow was known primarily from the 1960s through its pioneering work with Arthur Jaffe on constructive quantum field theory. Later he also worked on numerical simulations with massive computing (modeling of oil reservoirs, biochemical models, hydrodynamics ). Further work relating to operator algebras - according to him, the glow- algebras are named, and he also showed a ( "non- commutative Stone - Weierstrass " ) Approximationstheorem for operator algebras - quantum statistical mechanics and the theory of shock waves ( conservation laws of hyperbolic partial differential equations).
Honors
In 1979 he was awarded the prize for mathematics and physics of the New York Academy of Sciences. In 1980 he received the Dannie Heineman Prize for Mathematical Physics with Arthur Jaffe. In 1984 he was elected to the National Academy of Sciences of the United States. In 1992 he received the Leroy P. Steele Prize of the American Mathematical Society. In 2003 he won the National Medal of Science. 2007-2009 he was president of the American Mathematical Society ( AMS), whose fellow he is. In 1974 he gave a plenary lecture at the ICM in Vancouver (Analysis over infinite dimensional spaces and applications to quantum field theory ) and in 1970 he was invited speaker at the ICM in Nice ( Models for Quantum Field Theory).
One of his doctoral students is Thomas C. Spencer.