This prize was awarded for the first time in 2003 but it was first suggested over 100 years earlier. Sophus Lie, when he saw that Nobel's plans for annual prizes did not include one for mathematics, proposed the setting up of an

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.

**2012 ** Endre Szemerédi, Hungarian Academy of Sciences, Budapest and Rutgers University

for his fundamental contributions to discrete mathematics and theoretical computer science, and in recognition of the profound and lasting impact of these contributions on additive number theory and ergodic theory

**2013** Pierre Deligne, Institute for Advanced Study, Princeton

for seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields

**2014** Yakov G. Sinai, Princeton University and the Russian Academy of Sciences

... for his fundamental contributions to dynamical systems, ergodic theory, and mathematical physics.

**2015** John Forbes Nash and Louis Nirenberg

... for striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis.

**Other Web site:**

JOC/EFR May 2015

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