| The Fields Medal, officially known as International Medal for Outstanding Discoveries in Mathematics, is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union, a meeting that takes place every four years. The Fields Medal is often viewed as the greatest honour a mathematician can receive. The Fields Medal and the Abel Prize have often been described as the "mathematician's Nobel Prize". The prize comes with a monetary award, which since 2006 is $15,000. The colloquial name is in honour of Canadian mathematician John Charles Fields. Fields was instrumental in establishing the award, designing the medal itself, and funding the monetary component. The medal was first awarded in 1936 to Finnish mathematician Lars Ahlfors and American mathematician Jesse Douglas, and it has been awarded every four years since 1950. Its purpose is to give recognition and support to younger mathematical researchers who have made major contributions. No woman has won a Fields Medal. The average Erdős number of Fields Medalists is 3.21, with a standard deviation of 0.87 and a median of 3. |
Check all the winners of Fields Medal presented under Fields Medal since 1936 .
Maryam Mirzakhani(For her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.) |
Manjul Bhargava(For developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves.) |
Martin Hairer(For his outstanding contributions to the theory of stochastic partial differential equations, and in particular created a theory of regularity structures for such equations.) |
Artur Avila(For his profound contributions to dynamical systems theory have changed the face of the field, using the powerful idea of renormalization as a unifying principle.) |
Stanislav Smirnov(For his work on the mathematical foundations of statistical physics, particularly finite lattice models.) |
Elon Lindenstrauss(For his results on measure rigidity in ergodic theory, and their applications to number theory.) |
Cédric Villani(For his work on Landau damping and the Boltzmann equation.) |
Andrei Okounkov(For his contributions to bridging probability, representation theory and algebraic geometry.) |
Grigori Perelman(Declined to accept.) |
Terence Tao(For his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory.) |
Vladimir Voevodsky(For his work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology.) |
Richard Borcherds(For his contributions to algebra, the theory of automorphic forms, and mathematical physics, including the introduction of vertex algebras and Borcherds' Lie algebras, the proof of the Conway-Norton moonshine conjecture and the discovery of a new class of automorphic infinite products.) |
Timothy Gowers(For research connecting the fields of functional analysis and combinatorics.) |
Maxim Kontsevich(For his contributions to four problems of geometry.) |
Curtis T. McMullen(For his work in complex dynamics, hyperbolic geometry and Teichmüller theory.) |
Andrew Wiles(Special tribute from IMU.) |
Pierre-Louis Lions(For his mathematical work.) |
Jean-Christophe Yoccoz(For his work on dynamical systems.) |
Simon Donaldson(For his work on topology of four-manifolds, especially for showing that there is a differential structure on euclidian four-space which is different from the usual structure.) |
Gerd Faltings(For proving the Mordell conjecture, which states that any non-singular projective curve of genus g > 1 defined over a number field K contains only finitely many K-rational points.) |
Michael Freedman(For his work on the Poincaré conjecture.) |
Shing-Tung Yau(For his contributions to partial differential equations, to the Calabi conjecture in algebraic geometry, to the positive mass conjecture of general relativity theory, and to real and complex Monge\u2013Ampère equations.) |
William Thurston(For his contributions to the study of 3-manifolds.) |
Charles Fefferman(For his work in mathematical analysis.) |
Daniel Quillen(For his formulation of higher algebraic K-theory in 1972.) |
Sergei Novikov(For proving the topological invariance of the rational Pontryagin classes, and posed the Novikov conjecture.) |
John G. Thompson(For his work in the field of finite groups.) |
Michael Atiyah(For his work in developing K-theory, a generalized Lefschetz fixed-point theorem and the Atiyah\u2013Singer theorem.) |
Paul Cohen(For his result on the continuum hypothesis.) |
Lars HörmanderHonored for : Linear partial differential operators |
John Milnor(For his work in differential topology.) |
Laurent Schwartz(He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function.) |
Atle Selberg(For his fundamental accomplishments during the 1940s.) |
Jesse Douglas(For solving, in 1930, the problem of Plateau, which asks whether a minimal surface exists for a given boundary.) |
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