The Norwegian Academy of Science and Letters announces the winners of the Abel prize, the first being awarded in 2003. Below we list the winners and the citation for their prizes:
2003 Jean-Pierre Serre, Collège de France, Paris, France:-
... for playing a key role in shaping the modern form of many parts of mathematics, including topology, algebraic geometry and number theory.
2004 Sir Michael Francis Atiyah, University of Edinburgh and Isadore M Singer, Massachusetts Institute of Technology:-
... for their discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics.
2005 Peter D Lax, Courant Institute of Mathematical Sciences, New York University:-
... for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions.
2006 Lennart Carleson, Royal Institute of Technology, Sweden:-
... for his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems.
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