At first, the medal was awarded every three years. It came with a prize of about £900. But starting in 2009, the Royal Society decided to give it out every two years instead. Now, it's meant for scientists who are earlier in their careers, not just those who are already very famous. A special committee at the Royal Society chooses the winner. This committee handles awards for physical sciences, like math.
| Year |
Name |
Nationality |
Why they won |
| 1901 |
Poincaré, HenriHenri Poincaré |
French |
For his important work in pure and applied mathematics, physics, and how things move in space. He helped create chaos theory and topology. |
| 1904 |
Cantor, GeorgGeorg Cantor |
German |
He invented set theory, which is a basic part of mathematics. He studied infinite sets and showed that some infinities are "bigger" than others. |
| 1907 |
Wirtinger, WilhelmWilhelm Wirtinger |
Austrian |
For his work on functions, geometry, algebra, and number theory. |
| 1910 |
Baker, Henry FrederickHenry Frederick Baker |
British |
For his work in algebraic geometry and his contributions to Lie groups. He also helped publish James Joseph Sylvester's math works. |
| 1913 |
Glaisher, James Whitbread LeeJames Whitbread Lee Glaisher |
British |
For his work in number theory and the study of elliptic functions. |
| 1916 |
Darboux, Jean GastonJean Gaston Darboux |
French |
For his important contributions to geometry and mathematical analysis. |
| 1919 |
MacMahon, Percy AlexanderPercy Alexander MacMahon |
British |
For his work on how numbers can be divided into parts and his studies in enumerative combinatorics. He also created fun math puzzles. |
| 1922 |
Levi-Civita, TullioTullio Levi-Civita |
Italian |
For his major work in many math areas, especially tensor calculus and its use in theory of relativity. He also studied how things move. |
| 1925 |
Whitehead, Alfred NorthAlfred North Whitehead |
British |
For his work on the basic ideas of mathematics. He also wrote about algebra, logic, and philosophy. |
| 1928 |
Young, William HenryWilliam Henry Young |
British |
For his work on the theory of functions, including measure theory and Fourier series. |
| 1931 |
Whittaker, Edmund TaylorEdmund Taylor Whittaker |
British |
For his important work in both pure and applied mathematics, and his contributions to mathematical physics. |
| 1934 |
Russell, BertrandBertrand Russell |
British |
For his excellent work on the basic ideas of mathematics. He was also a famous philosopher and logician. |
| 1937 |
Love, Augustus Edward HoughAugustus Edward Hough Love |
British |
For his work on the math of elasticity (how things stretch and bend) and how liquids move. He also studied waves and tides. |
| 1940 |
Hardy, Godfrey HaroldGodfrey Harold Hardy |
British |
For his important work in many areas of pure mathematics. |
| 1943 |
Littlewood, John EdensorJohn Edensor Littlewood |
British |
For his math discoveries and deep understanding in the analytical theory of numbers. |
| 1946 |
Watson, George NevilleGeorge Neville Watson |
British |
For his great contributions to pure mathematics, especially in mathematical analysis. |
| 1949 |
Mordell, Louis JoelLouis Joel Mordell |
British |
For his excellent research in pure mathematics, especially his discoveries in number theory. |
| 1952 |
Besicovitch, Abram SamoilovitchAbram Samoilovitch Besicovitch |
Russian |
For his outstanding work on functions and the theory of measure and integration. |
| 1955 |
Titchmarsh, Edward CharlesEdward Charles Titchmarsh |
British |
For his important research on the Riemann zeta-function, Fourier analysis, and number theory. |
| 1958 |
Newman, MaxMax Newman |
British |
For his great contributions to topology, Boolean algebras, and mathematical logic. |
| 1961 |
Hall, PhilipPhilip Hall |
British |
For his important research in algebra. |
| 1964 |
Cartwright, MaryMary Cartwright |
British |
For her great contributions to analysis and the theory of functions. |
| 1967 |
Davenport, HaroldHarold Davenport |
British |
For his many important contributions to number theory. |
| 1970 |
Temple, George Frederick JamesGeorge Frederick James Temple |
British |
For his many great contributions to applied mathematics. |
| 1973 |
Cassels, John William ScottJohn William Scott Cassels |
British |
For his many important contributions to number theory. |
| 1976 |
Kendall, David GeorgeDavid George Kendall |
British |
For his many great contributions to probability theory and its uses. |
| 1979 |
Higman, GrahamGraham Higman |
British |
For his important and influential work on the theory of groups. |
| 1982 |
Adams, John FrankJohn Frank Adams |
British |
For solving several big problems in algebraic topology and creating new methods to do so. |
| 1985 |
Thompson, John GriggsJohn Griggs Thompson |
American |
For his basic work that helped classify all finite simple groups. |
| 1988 |
Wall, Charles T. C.Charles T. C. Wall |
British |
For his contributions to the topology of manifolds and related areas in algebra and geometry. |
| 1991 |
Roth, Klaus FriedrichKlaus Friedrich Roth |
British |
For his many contributions to number theory, especially solving a famous problem about approximating numbers. |
| 1994 |
Whittle, PeterPeter Whittle |
New Zealand |
For his major contributions to time series analysis, optimisation theory, and applied probability theory. |
| 1997 |
Coxeter, Harold Scott MacDonaldHarold Scott MacDonald Coxeter |
British/Canadian |
For his achievements in geometry, especially how shapes and patterns are arranged in space. |
| 2000 |
Hitchin, Nigel JamesNigel James Hitchin |
British |
For his important contributions to differential geometry and how it connects with physics. |
| 2003 |
Carleson, LennartLennart Carleson |
Swedish |
For his deep and basic contributions to mathematics in the field of analysis and complex dynamics. |
| 2006 |
Swinnerton-Dyer, PeterPeter Swinnerton-Dyer |
British |
For his basic work in arithmetic geometry and his many contributions to the theory of ordinary differential equations. |
| 2009 |
Ball, John M.John M. Ball |
British |
For his important work in mechanics and nonlinear analysis, and for encouraging math research in developing countries. |
| 2010 |
Segal, GraemeGraeme Segal |
British |
For his very influential work on topology, geometry, and quantum field theory, connecting physics and pure mathematics. |
| 2012 |
Toland, John FrancisJohn Francis Toland |
British/Irish |
For his original theorems and amazing discoveries in nonlinear partial differential equations, including how they apply to water waves. |
| 2014 |
Green, BenBen Green |
British |
For his famous result on prime numbers and other spectacular theorems he proved. |
| 2016 |
Gowers, TimothyTimothy Gowers |
British |
For his groundbreaking results in the theory of Banach spaces, combinatorics, and additive number theory. |
| 2018 |
McDuff, DusaDusa McDuff |
British |
For leading the development of the new field of symplectic geometry and topology. |
| 2019 |
Sarnak, PeterPeter Sarnak |
American/South African |
For his amazing contributions across number theory, combinatorics, analysis, and geometry. |
| 2020 |
Birch, Bryan JohnBryan John Birch |
British |
For his work on the theory of elliptic curves. |
| 2021 |
Kirwan, FrancesFrances Kirwan |
British |
For her research in algebraic geometry and its connections to symplectic geometry and topology. |
| 2022 |
Heath-Brown, RogerRoger Heath-Brown |
British |
For his many important contributions to studying prime numbers and solving equations with whole numbers. |
| 2023 |
Reid, MilesMiles Reid |
British |
For his very creative research and insights into higher-dimensional algebraic geometry, and for helping the community of algebraic geometers. |