Абель сыйлығы: математика саласындағы халықаралық жүлде

Norwegian international mathematics prize

The Abel Prize ('/ɑː//b//əl/ AHbəl; Abelprisen ) is awarded annually by the King of Norway to one or more outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes. It comes with a monetary award of 7.5 million Norwegian kroner (NOK; increased from 6 million NOK in 2019). The Abel Prize's history dates back to 1899, when its establishment was proposed by the Norwegian mathematician Sophus Lie when he learned that Alfred Nobel's plans for annual prizes would not include a prize in mathematics. In 1902, King Oscar II of Sweden and Norway indicated his willingness to finance the creation of a mathematics prize to complement the Nobel Prizes, but the establishment of the prize was prevented by the dissolution of the union between Norway and Sweden in 1905. It took almost a century before the prize was finally established by the Government of Norway in 2001, and it was specifically intended "to give the mathematicians their own equivalent of a Nobel Prize." The Abel Prize board has also established an Abel symposium, administered by the Norwegian Mathematical Society, which takes place twice a year.

The prize was first proposed in 1899, to be part of the celebration of the 100th anniversary of Niels Henrik Abel's birth in 1802. The Norwegian mathematician Sophus Lie proposed establishing an Abel Prize when he learned that Alfred Nobel's plans for annual prizes would not include a prize in mathematics. King Oscar II was willing to finance a mathematics prize in 1902, and the mathematicians Ludwig Sylow and Carl Størmer drew up statutes and rules for the proposed prize. However, Lie's influence decreased after his death, and the dissolution of the union between Sweden and Norway in 1905 ended the first attempt to create an Abel Prize. A book series presenting Abel Prize laureates and their research was commenced in 2010. The first three volumes cover the years 2003–2007, 2008–2012, and 2013–2017 respectively. In 2019, Karen Uhlenbeck became the first woman to win the Abel Prize, with the award committee citing "the fundamental impact of her work on analysis, geometry and mathematical physics. The Bernt Michael Holmboe Memorial Prize was created in 2005. Named after Abel's teacher, it promotes excellence in teaching.

Anyone may submit a nomination for the Abel Prize, although self nominations are not permitted. The nominee must be alive. If the awardee dies after being declared the winner, the prize will be awarded posthumously. The Norwegian Academy of Science and Letters declares the winner of the Abel Prize each March after recommendation by the Abel Committee, which consists of five leading mathematicians. Both Norwegians and non Norwegians may serve on the Committee. They are elected by the Norwegian Academy of Science and Letters and nominated by the International Mathematical Union and the European Mathematical Society. as of 2022, the committee is chaired by Norwegian mathematician Helge Holden and before then was headed by Hans Munthe Kaas, John Rognes, Ragni Piene, Kristian Seip, and Erling Stormer.

The Norwegian Government gave the prize an initial funding of NOK 200 million (about €21.7 million) in 2001. Previously, the funding came from the Abel foundation, but today the prize is financed directly through the national budget. The funding is controlled by the Board, which consists of members elected by the Norwegian Academy of Science and Letters.

Year Laureate(s) Image Institution(s) Citation 2003 Collège de France "For playing a key role in shaping the modern form of many parts of mathematics, including topology, algebraic geometry and number theory." 2004 University of Edinburgh
University of Cambridge "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." Massachusetts Institute of TechnologyUniversity of California, Berkeley 2005 Courant Institute (NYU) "For his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions." 2006 Royal Institute of Technology "For his profound and seminal contributions to harmonic analysis and the theory of smooth dynamical systems." 2007 Courant Institute (NYU) "For his fundamental contributions to probability theory and in particular for creating a unified theory of large deviation." 2008 University of Florida "For their profound achievements in algebra and in particular for shaping modern group theory." Collège de France 2009 Institut des Hautes Études Scientifiques and Courant Institute (NYU) "For his revolutionary contributions to geometry." 2010 University of Texas at Austin "For his vast and lasting impact on the theory of numbers." 2011 Stony Brook University "For pioneering discoveries in topology, geometry, and algebra." 2012 Alfréd Rényi Institute 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 Institute for Advanced Study "For seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields." 2014 Princeton University and Landau Institute for Theoretical Physics "For his fundamental contributions to dynamical systems, ergodic theory, and mathematical physics." 2015 Princeton University "For striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis." Courant Institute (NYU) 2016 University of Oxford "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 École normale supérieure Paris Saclay "For his pivotal role in the development of the mathematical theory of wavelets." 2018 Institute for Advanced Study "For his visionary program connecting representation theory to number theory." 2019 University of Texas at Austin "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." 2020 Hebrew University of Jerusalem "For pioneering the use of methods from probability and dynamics in group theory, number theory and combinatorics." Yale University 2021 Eötvös Loránd University "For their foundational contributions to theoretical computer science and discrete mathematics, and their leading role in shaping them into central fields of modern mathematics". Institute for Advanced Study 2022 Stony Brook University and The Graduate Center, CUNY "For his groundbreaking contributions to topology in its broadest sense, and in particular its algebraic, geometric and dynamical aspects." 2023 University of Texas at Austin "For his seminal contributions to regularity theory for nonlinear partial differential equations including free boundary problems and the Monge–Ampère equation." 2024 Centre national de la recherche scientifique "For his groundbreaking contributions to probability theory and functional analysis, with outstanding applications in mathematical physics and statistics."