Fields Medal

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The International Medal for Outstanding Discoveries in Mathematics, better known as the Fields Medal, is a distinction awarded since 1936 by the International Mathematical Union on a quadrennial basis, being the highest award given by the international mathematical community. It is named in honor of Canadian mathematician John Charles Fields and is only awarded to mathematicians under the age of 40, with a reward of C$15,000.

Given the non-existence of the Nobel Prize in Mathematics, this award was established for the best mathematicians, being awarded to one or more people.

The gold-plated medal was designed by Robert T. McKenzie in 1933. On the obverse is the head of the Greek mathematician Archimedes and the inscription "Transire suum pectus mundoque potiri" ("Go beyond yourself and rule the world"). The reverse features a sphere inscribed in a cylinder and the inscription "Congregati ex toto orbe mathematici ob scripta insignia tribuere" ("Mathematicians from all over the world gathered to give this medal for excellent writing").

Fields Medal Winners

YearWinners
1936 Lars AhlforsFinlandFlag of Finland.svgFinland), Harvard University

Jesse Douglas (Bandera de Estados UnidosUnited States), Massachusetts Institute of Technology

1950 Laurent Schwartz (Bandera de FranciaFrance), University of Nancy
Atle Selberg (Atle Selberg)NorwayFlag of Norway.svg Norway), Princeton Institute for Advanced Studies
1954 Kunihiko KodairaJapanBandera de JapónJapan), Princeton University
Jean-Pierre Serre (Bandera de FranciaFrance), University of Paris
1958 Klaus Friedrich Roth (United KingdomBandera del Reino UnidoUnited Kingdom), University of London
René ThomBandera de FranciaFrance), University of Strasbourg
1962 Lars V. Hörmander (SwedenFlag of Sweden.svg Sweden), University of Stockholm
John Willard Milnor (Bandera de Estados UnidosUnited States), Princeton University
1966 Michael Francis Atiyah (United KingdomBandera del Reino UnidoUnited Kingdom), University of Oxford
Paul Joseph Cohen (Bandera de Estados UnidosUnited States of America, Stanford University
Alexander Grothendieck (Bandera de FranciaFrance), University of Paris
Stephen Smale (Bandera de Estados UnidosUnited States), University of Berkeley
1970 Alan BakerUnited KingdomBandera del Reino UnidoUnited Kingdom), University of Cambridge
Heisuke HironakaJapanBandera de JapónJapan), Harvard University
Sergéi Nóvikov (Bandera de la Unión SoviéticaSoviet Union), University of Moscow
John Griggs Thompson (Bandera de Estados UnidosUnited States), University of Cambridge
1974 Enrico BombieriItalyFlag of Italy.svgItaly), University of Pisa
David Bryant MumfordUnited KingdomBandera del Reino UnidoUnited Kingdom), Harvard University
1978 Pierre René DeligneBelgiumFlag of Belgium (civil).svgBelgium), Institut des hautes études scientifiques
Charles Louis Fefferman (Bandera de Estados UnidosUnited States), Princeton University
Grigori MargulisBandera de la Unión SoviéticaSoviet Union), University of Moscow
Daniel G. Quillen (Bandera de Estados UnidosUnited States), Massachusetts Institute of Technology
1982 Alain Connes (Alain Connes)Bandera de FranciaFrance), Institut des hautes études scientifiques
William P. Thurston (Bandera de Estados UnidosUnited States), Princeton University
Shing-Tung YauBandera de Estados UnidosUnited States, Princeton Institute for Advanced Studies
1986 Simon Donaldson (United KingdomBandera del Reino UnidoUnited Kingdom), University of Oxford
Gerd FaltingsGermanyFlag of Germany.svgGermany), Princeton University
Michael Freedman (Bandera de Estados UnidosUnited States), University of San Diego
1990 Vladimir Drinfeld (Bandera de la Unión SoviéticaSoviet Union), Institute of Physics of Kharkov
Vaughan Jones (New ZealandBandera de Nueva ZelandaNew Zealand), University of Berkeley
Shigefumi MoriJapanBandera de JapónJapan), Kyoto University
Edward Witten (Bandera de Estados UnidosUnited States, Princeton Institute for Advanced Studies
1994 Pierre-Louis LionsBandera de FranciaFrance), Université de Paris-Dauphine
Jean-Christophe YoccozBandera de FranciaFrance), Université de Paris-Sud
Jean BourgainBelgiumFlag of Belgium (civil).svgBelgium), Princeton Institute for Advanced Studies
Yefim ZelmánovRussiaFlag of Russia.svg Russia), University of Wisconsin
1998 Richard Ewen BorcherdsBandera de SudáfricaSouth Africa), University of Cambridge
W. Timothy Gowers (United KingdomBandera del Reino UnidoUnited Kingdom), University of Cambridge
Maxim KontsevichRussiaFlag of Russia.svg Russia), Institut des hautes études scientifiques
Curtis T. McMullenBandera de Estados UnidosUnited States), Harvard University
2002 Vladimir VoevodskyRussiaFlag of Russia.svg Russia), Princeton Institute for Advanced Studies
Laurent LafforgueBandera de FranciaFrance), Institut des hautes études scientifiques
2006 Andrei OkounkovRussiaFlag of Russia.svg Russia), Princeton University
Grigori Perelmán (RussiaFlag of Russia.svg Russia), Steklov Mathematical Institute (rejected the award)
Terence TaoBandera de AustraliaAustralia), University of California, Los Angeles
Wendelin WernerBandera de FranciaFrance), Université de Paris-Sud
2010 Elon LindenstraussIsraelBandera de IsraelIsrael), Hebrew University of Jerusalem
Ngô B emblemo Châu (VietnamBandera de VietnamVietnam and Bandera de FranciaFrance), Paris-Sud 11 University and Institute for Advanced Study
Stanislav SmirnovRussiaFlag of Russia.svg Russia), University of Geneva
Cédric VillaniBandera de FranciaFrance), Henri Poincaré Institute
2014 Artur ÁvilaBrazilBandera de BrasilBrazil and Bandera de FranciaFrance), National Institute of Pure and Applied Mathematics
Manjul Bhargava (CanadaBandera de CanadáCanada and Bandera de Estados UnidosUnited States), Princeton University
Martin HairerAustriaFlag of Austria.svgAustria), Imperial College London
Maryam MirzajaniIranBandera de IránIran), Stanford University
2018 Caucher BirkarIranBandera de IránIran and United KingdomBandera del Reino UnidoUnited Kingdom), University of Cambridge
Alessio Figalli (Alessio Figalli)ItalyFlag of Italy.svgItaly), Federal Polytechnic School of Zurich
Peter Scholze (GermanyFlag of Germany.svgGermany), University of Bonn
Akshay VenkateshBandera de AustraliaAustralia), Stanford University
2022 Hugo Duminil-Copin (Bandera de FranciaFrance), Institut des hautes études scientifiques
June Huh (South KoreaBandera de Corea del SurSouth Korea), Princeton University
James Maynard (United KingdomBandera del Reino UnidoUnited Kingdom), University of Oxford
Maryna ViazovskaUkraineFlag of Ukraine.svg Ukraine), Federal Polytechnic School of Lausanne
Reverso of the medal

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