The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.
The Fields Medal is regarded as one of the highest honors a mathematician can receive, and has been described as the mathematician’s “Nobel Prize” , although there are several key differences, including frequency of award, number of awards, and age limits. According to the annual Academic Excellence Survey by ARWU, the Fields Medal is consistently regarded as the top award in the field of mathematics worldwide, and in another reputation survey conducted by IREG in 2013-14, the Fields Medal came closely after the Abel Prize as the second most prestigious international award in mathematics.

Alan (†) Baker
2004 – United Kingdom
(1970)

Alain Connes
2004 – France
(1982)

Alessio Figalli
2017 – Switzerland
Fields Medal 2018

Simon Donaldson
2004 – United Kingdom
(1986)

Alessio Figalli
2007 – United Kingdom
(1998)

Grigoriy Margulis
2004 – United States
Fields Medal (1978) Wolf Prize in Mathematics (2005)

John Milnor
2004 – United States
Fields Medal (1962), Wolf Prize in Mathematics (1989) and Abel Prize (2011)

Shigefumi Mori
2006 – Japan
(1990)

Sergey Novikov
2003 – Russia

Cédric Villani
2016 – France
(2010)

Vladimir (†) Voevodsky
2003 – United States
(2002)

Efim Zelmanov
2004 – United States
(1994)

Enrico Bombieri
2004 – Italy
(1974)

Efim Zelmanov
2020 – United Kingdom

Wendelin Werner
2020 – Switzerland

Stanislav Smirnov
2021 – Sweden
2021 – Sweden