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 year 1902 was one in which the centenary of Abel's death was celebrated. A decision was again taken to establish an international Abel Prize but again the plan did not come to fruition. With the bicentenary of Abel's birth approaching, Arild Stubhaug, who had written a major new biography of Abel, made another attempt to set up an Abel Prize.

A committee was set up which gathered support both within Norway and also international support. They put their proposals before the Norwegian government in May 2001 and in a speech on the campus of the University of Oslo in August 2001, the Norwegian Prime Minister announced that the Government would establish an Abel Fund.

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

... for playing a key role in shaping the modern form of many parts of mathematics, including topology, algebraic geometry and number theory.

... 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.

... for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions.

... for his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems.

... for his fundamental contributions to probability theory and in particular for creating a unified theory of large deviations.

... for their outstanding achievements in algebra and especially for their shaping of modern group theory.

... for his revolutionary contributions to geometry.

... for his vast and lasting impact on the theory of numbers.

... for pioneering discoveries in topology, geometry and algebra.

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

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

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

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

... for his stunning proof of Fermat's Last Theorem by way of the modularity conjecture for semistable elliptic curves, opening a new era in number theory.

... for his pivotal role in the development of the mathematical theory of wavelets.

... for his visionary program connecting representation theory to number theory.

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JOC/EFR February 2019

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