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James Glimm, Nice 1970

James Glimm (born March 24, 1934 in Peoria , Illinois ) is an American mathematician and mathematical physicist .

Life

James Glimm first studied engineering at Columbia University (BA degree in 1956) and then mathematics, where he received his doctorate in 1959 under Richard Kadison ( On a certain class of operator algebras ). 1959/60 he was at the Institute for Advanced Study , 1960 to 1968 at MIT (where he rose from associate professor to professor), 1968 to 1974 and 1982 to 1989 professor at the Courant Institute of Mathematical Sciences of New York University (in between from 1974 to 1982 Professor at Rockefeller University ) and from 1989 Professor at the State University of New York at Stony Brook . From 1999 he was also onComputational Science Center of the Brookhaven National Laboratory .

Services

Glimm was best known from the 1960s onwards through his fundamental work with Arthur Jaffe on constructive quantum field theory . Later he also worked on numerical simulations with massive computer use (modeling of oil deposits, biochemical models, hydrodynamics). Further work concerns operator algebras - the Glimm algebras are named after him, and he also proved a ("non-commutative Stone-Weierstraß") approximation theorem for operator algebras - quantum mechanical statistical mechanics and the theory of shock waves (conservation laws of hyperbolic partial differential equations).

Honors

From 2007 to 2009 he was President of the American Mathematical Society (AMS), of which he is a member. 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 PhD students is Thomas C. Spencer .

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