Jean Bourgain
Jean Bourgain ( born February 28, 1954 in Ostend) is a Belgian mathematician.
Life
Bourgain received his PhD with a research grant (1977) and habilitation (1979 ) at the Vrije Universiteit Brussel, where he is also professor of mathematics in 1981. From 1985 to 2006 he was a professor at the University of Illinois at Urbana -Champaign and at the same time ( 1985-1995 ), professor at the Institut des Hautes Études Scientifiques in Bures -sur -Yvette in France. Since 1994, he is one of eight permanent members of the prestigious School of Mathematics of the Institute for Advanced Study in Princeton.
Services
Bourgain has published more than 300 scientific papers on many areas of analysis, the geometry of Banach spaces, harmonic analysis, analytic number theory, combinatorics, ergodic theory and nonlinear partial differential equations (such as the periodic nonlinear Schrödinger equation). He has a number of new techniques developed and surprising relationships between different areas revealed that shaped the further development of analysis in them. He proved the uniqueness of the solutions for the initial value problem of the Korteweg -de Vries equation. Bourgain, initiated in 1986, the Ribe program in Functional Analysis (after Martin Ribe ) with a thesis on superreflexive rooms.
Honors
For his achievements Bourgain has won many awards. In 1983 he received the Salem Prize, in 1985 the Belgian Damry - Deleeuw - Bourlart price. In 1990, he was honored by the Académie des Sciences with the Elie Cartan Prize, 1991, the Ostrowski Prize he was awarded. In 1994 he was finally as important award the Fields Medal awarded ( plenary lecture at the ICM: Harmonic analysis and nonlinear partial differential equations ). In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( Geometry of Banach spaces and harmonic analysis) and 1983 in Warsaw (New Banach space properties of Certain spaces of analytic functions). In 2008 he gave a plenary lecture at the European Congress of Mathematicians in Amsterdam (New Developments in arithmetic combinatorics ). In 2010 he was awarded the Shaw Prize for mathematics and 2012 the Crafoord Prize.
Bourgain is a member of the Royal Flemish Academy of Belgium for Sciences and Arts, an associate since 2000, member of the French Academy of Sciences and a foreign member of the Polish Academy of Sciences. He holds an honorary doctorate from the Hebrew University of Jerusalem, the University of Marne -La- Vallée and the Vrije Universiteit Brussel.
Writings
- Green's function estimates for lattice Schrödinger operators and applications, Princeton University Press 2005
- New Classes of Spaces, Springer 1981
- Global solution of nonlinear Schrödinger equations, Springer 1999
- Publisher with Sergiu Klainerman, Carlos Kenig: Mathematical aspects of nonlinear dispersive equations, Princeton University Press 2007