# Definition:Abel Prize

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## Definition

The **Abel Prize** is awarded each year by the King of Norway to one or more mathematicians, for achieving particularly important results in mathematical research.

It is regarded as having the same status as the Nobel Prize.

Its recipients have been as follows:

Year | Recipient(s) | Citation |
---|---|---|

$2003$ | 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. |

$2004$ | Michael Francis Atiyah and Isadore Manuel Singer | 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 David Lax | For his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions. |

$2006$ | Lennart Axel Edvard Carleson | For his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems. |

$2007$ | Sathamangalam Ranga Iyengar Srinivasa Varadhan | For his fundamental contributions to probability theory and in particular for creating a unified theory of large deviation. |

$2008$ | John Griggs Thompson and Jacques Tits | For their profound achievements in algebra and in particular for shaping modern group theory. |

$2009$ | Mikhail Leonidovich Gromov | For his revolutionary contributions to geometry. |

$2010$ | John Torrence Tate | For his vast and lasting impact on the theory of numbers. |

$2011$ | John Willard Milnor | For pioneering discoveries in topology, geometry, and algebra. |

$2012$ | Endre Szemerédi | 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 René Deligne | For seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields. |

$2014$ | Yakov Grigorevich Sinai | 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. |

$2016$ | Andrew John Wiles | 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. |

$2017$ | Yves F. Meyer | For his pivotal role in the development of the mathematical theory of wavelets. |

$2018$ | Robert Phelan Langlands | For his visionary program connecting representation theory to number theory. |

$2019$ | Karen Keskulla Uhlenbeck | For her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics. |

## Source of Name

This entry was named for Niels Henrik Abel.

## Sources

- 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Abel Prize**