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:-
... 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.
2007 Srinivasa S R Varadhan, Courant Institute of Mathematical Sciences, New York University:-
... for his fundamental contributions to probability theory and in particular for creating a unified theory of large deviations.
2008 John Thompson, University of Florida and Jacques Tits, Collège de France, Paris:-
... for their outstanding achievements in algebra and especially for their shaping of modern group theory.
2009 Mikhail Leonidovich Gromov, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France
... for his revolutionary contributions to geometry.
2010 John Tate, University of Texas at Austin
... for his vast and lasting impact on the theory of numbers.
2011 John Milnor
... for pioneering discoveries in topology, geometry and algebra.
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