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THE ABEL PRIZE 2023

Luis Caffarelli, 74, has won the 2023 Abel Prize “for his seminal contributions to regularity theory for nonlinear partial differential equations including free-boundary problems and the Monge-Ampère equation”.

What is the Abel Prize?

The prize was established by the Norwegian Parliament (Stortinget) in 2002, marking the 200th anniversary of Niels Henrick Abel’s birth. Notably, the prize was first proposed in 1899, when Norwegian mathematician Sophus Lie proposed establishing a prize named after Abel when he learned that Alfred Nobel’s plans for annual prizes would not include a prize in mathematics. This plan never materialised.

In 2001, as Abel’s 200th birth anniversary drew close, a working group was formed to develop a proposal for such a prize. This group presented a proposal to the Norwegian prime minister, who soon announced the creation of the Abel prize.

The Abel Prize is awarded and administered by the Norwegian Academy of Science and Letters on behalf of the Norwegian government. It is financed by the Norwegian government which also does not tax the prize money. The recipients are chosen by the Abel Committee, which comprises expert mathematicians, all appointed by the Norwegian Academy of Science and Letters, under the advice of the International Mathematical Union (IMU) and the European Mathematical Society (EMS).

First awarded in 2003, the Abel prize “recognises pioneering scientific achievements in mathematics”. It is often considered to be an equivalent of the Nobel prize – which does not have a category for mathematics – and has been modelled as such.

The prize includes a monetary award of 7.5 million kroner (roughly $ 720,000) and a glass plaque designed by Norwegian artist Henrik Haugan. It is awarded by The Norwegian Academy of Science and Letters, on behalf of the Ministry of Education.

Who was Niels Henrick Abel?

Niels Henrik Abel (1802-1829) was a Norwegian mathematician who left a big impact on a number of fields in his rather short life. His most famous single result is the first complete proof demonstrating the impossibility of solving the general quintic equation in radicals. This question was one of the outstanding open problems of his day, and had been unresolved for over 250 years.

He was also an innovator in the field of elliptic functions, discoverer of what would later be known as Abelian functions. He made all his discoveries while living in crippling poverty. He died of tuberculosis at the age of 26.

List of Abel Prize winners 2003-2022:

YearWinner's nameAchievement
2022Dennis Parnell Sullivan"This award is presented annually to outstanding mathematicians."
2021Laszlo Lovasz and Avi Wijdersen"To strengthen the link between mathematics and computer science."
2020Hillel Furstenberg and Gregory Margulis"Applications of Methods from Probability and Dynamics in Group Theory, Number Theory, and Combinatorics."
2019Karen Uhlenbeck"For his pioneering achievements in geometric partial differential equations, gauge theory and integer systems, and for the fundamental impact of his work on analysis, geometry, and mathematical physics."
2018Robert P. Longlands"For a Project Connecting Number Theory to Representation Theory."
2017Yves Meyer"For his important role in the development of the mathematical theory of wavelets (small waves)."
2016Andrew Wills"To usher in a new era in number theory by the spectacular proof of Fermat's Last Theorem by means of modularity conjecture for semi-stable ellipsoidal curves."
2015John F Nash, Jr. Louis Nirenberg"For making unprecedented and fundamental contributions to the theory of nonlinear partial differential equations and their applications to geometric analysis."
2014Ya'akov Sinai"For making fundamental contributions to the fields of dynamical systems, ergodic theory and mathematical physics."
2013Pierre Deligne"For significant contributions to algebraic geometry and its transformative impact on number theory, representation theory and related fields."
2012Andrey Zemeredi"For contributions to discrete mathematics and theoretical computer science, and for identifying the profound and lasting impact of these contributions on additive number theory and ergodic theory."
2011John Milnor"For remarkable discoveries in topology, geometry, and algebra."
2010John Tate"For his wide and lasting influence on the theory of numbers."
2009Mikhail Gromov"For making revolutionary contributions to geometry."
2008John G. Thompson, Jacques Tits"For profound achievements in algebra, and in particular for shaping modern group theory."
2007S. R. Srinivas Vardhan"For making contributions to probability theory, and in particular to creating a unified theory of large divergence."
2006Lanert Carlsen"For his profound and important contributions to harmonic analysis and the theory of smooth dynamical systems."
2005Peter Lack"For his important contribution to the theory and implementation of partial differential equations and to the computation of these equations."
2004Michael Atiyah and Isador Singer"For his outstanding role in the discovery and proof of the index theorem, for bringing together topology, geometry and its analysis, and in synergizing mathematics and theoretical physics."
2003Jean Pierre Serre"For playing a significant role in shaping the modern form of many parts of mathematics such as topology, algebraic geometry and number theory."


Source: https://abelprize.no

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