|
|1904|| {{sortname|Georg|Cantor}}||{{DEU}}|| "for his brilliant researches in the theories of aggregates and of sets of points of the arithmetic continuum, of transfinite numbers, and Fouriers series."
|-
|1907|| {{sortname|Wilhelm|Wirtinger|}}||[[Austria|Austrian]]{{AUT}}||"for his contributions to the general theory of functions."
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|1910|| {{sortname|Henry Frederick|Baker}}||[[United Kingdom|British]]{{GBR}}||"for his researches in the theory of Abelian functions and for his edition of Sylvesters Collected Works."
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|1913|| {{sortname|James Whitbread Lee|Glaisher}}||[[United Kingdom|British]]{{GBR}}||"for his mathematical researches, especially those in connection with the theory of numbers and the theory of elliptic functions."
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|1916|| {{sortname|Gaston|Darboux}}||[[France|French]]{{FRA}}||"for his distinguished contributions to mathematical science."
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|1919|| {{sortname|Percy Alexander|MacMahon}}||[[United Kingdom|British]]{{GBR}}||"for his researches in pure mathematics, especially in connection with the partition of numbers and analysis."
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|1922|| {{sortname|Tullio|Levi-Civita}}||[[Italy|Italian]]{{ITA}}||"for his researches in geometry and mechanics."
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|1925|| {{sortname|Alfred North|Whitehead}}||[[United Kingdom|British]]{{GBR}}||"for his researches on the foundations of mathematics."
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|1928|| {{sortname|William Henry|Young}}||[[United Kingdom|British]]{{GBR}}||"for his contributions to the theory of functions of a real variable."
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|1931|| {{sortname|Edmund Taylor|Whittaker}}||[[United Kingdom|British]]{{GBR}}||"for his original contributions to both pure and applied mathematics."
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|1934|| {{sortname|Bertrand|Russell}}||[[United Kingdom|British]]{{GBR}}||"for his distinguished work on the foundations of mathematics."
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|1937|| {{sortname|Augustus Edward Hough|Love}}||[[United Kingdom|British]]{{GBR}}||"for his researches in classical mathematical physics, particularly the mathematical theories of elasticity and hydro-dynamics."
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|1940|| {{sortname|Godfrey Harold|Hardy}}||[[United Kingdom|British]]{{GBR}}||"for his important contributions to many branches of pure mathematics."
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|1943|| {{sortname|John Edensor|Littlewood}}||[[United Kingdom|British]]{{GBR}}||"for his mathematical discoveries and supreme insight in the analytical theory of numbers."
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|1946|| {{sortname|George Neville|Watson}}||[[United Kingdom|British]]{{GBR}}||"for his distinguished contributions to pure mathematics in the field of mathematical analysis and in particular for his work on asymptotic expansion and on general transforms.
|-
|1949|| {{sortname|Louis Joel|Mordell}}||[[United Kingdom|British]]{{GBR}}||"for his distinguished researches in pure mathematics, especially for his discoveries in the theory of numbers."
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|1952|| {{sortname|Abram Samoilovitch|Besicovitch}}||[[Russia|Russian]]{{RUS}}||"for his outstanding work on almost-periodic functions, the theory of measure and integration and many other topics of theory of functions."
|-
|1955|| {{sortname|Edward Charles|Titchmarsh}}||[[United Kingdom|British]]{{GBR}}||"for his distinguished researches on the Riemann zeta-function, analytical theory of numbers, Fourier analysis, and eigen-function expansions."
|-
|1958|| {{sortname|Max|Newman}}||[[United Kingdom|British]]{{GBR}}||"for his distinguished contributions to combinatory topology, Boolean algebras and mathematical logic."
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|1961|| {{sortname|Philip|Hall}}||[[United Kingdom|British]]{{GBR}}||"for his distinguished researches in algebra."
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|1964|| {{sortname|Mary|Cartwright}}||[[United Kingdom|British]]{{GBR}}||"for her distinguished contributions to analysis and the theory of functions of a real and complex variable."
|-
|1967|| {{sortname|Harold|Davenport}}||[[United Kingdom|British]]{{GBR}}|| "for his many distinguished contributions to the theory of numbers."
|-
|1970|| {{sortname|George Frederick James|Temple}}||[[United Kingdom|British]]{{GBR}}||"for his many distinguished contributions to applied mathematics, especially in his work on distribution theory."
|-
|1973|| {{sortname|John William Scott|Cassels}}||[[United Kingdom|British]]{{GBR}}|| "for his numerous important contributions to the theory of numbers."
|-
|1976|| {{sortname|David George|Kendall}}||[[United Kingdom|British]]{{GBR}}|| "for his many distinguished contributions to probability theory and its applications."
|-
|1979|| {{sortname|Graham|Higman}}||[[United Kingdom|British]]{{GBR}}|| "for his distinguished and profoundly influential contributions to the theory of finite and infinite groups.
|-
|1982|| {{sortname|John Frank|Adams}}||[[United Kingdom|British]]{{GBR}}||"for his solution of several outstanding problems of algebraic topology and of the methods he invented for this purpose which have proved of prime importance in the theory of the subject."
|-
|1985|| {{sortname|John Griggs|Thompson}}||[[United States|American]]{{USA}}||"for his fundamental contributions leading to the complete classification of all finite simple groups."
|-
|1988|| {{sortname|Charles T. C. |Wall|C. T. C. Wall}}||[[United Kingdom|British]]{{GBR}}||"for his contributions to the topology of manifolds and related topics in algebra and geometry."
|-
|1991|| {{sortname|Klaus Friedrich|Roth}}||[[United Kingdom|British]]{{GBR}}||"for his many contributions to number theory and in particular his solution of the famous problem concerning approximating algebraic numbers by rationals."
|-
|1994|| {{sortname|Peter|Whittle}}||[[New Zealand]]{{NZL}}||"for his major distinctive contributions to time series analysis, to optimisation theory, and to a wide range of topics in applied probability theory and the mathematics of operational research."
|-
|1997|| {{sortname|Harold Scott MacDonald|Coxeter}}||[[United Kingdom|British]]{{GBR}}|| "for his achievements in geometry, notably projective geometry, non-euclidean geometry and the analysis of spatial shapes and patterns, and for his substantial contributions to practical group-theory which pervade much modern mathematics."
|-
|2000|| {{sortname|Nigel James|Hitchin}}||[[United Kingdom|British]]{{GBR}}|| "for his important contributions to many parts of differential geometry combining this with complex geometry, integrable systems and mathematical physics interweaving the most modern ideas with the classical literature."
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|2003|| {{sortname|Lennart|Carleson}}||[[Sweden|Swedish]]{{SWE}}|| "for his deep and fundamental contributions to mathematics in the field of analysis and complex dynamics."
|-
|2006|| {{sortname|Peter|Swinnerton-Dyer}}||[[United Kingdom|British]]{{GBR}}|| "for his fundamental work in arithmetic geometry and his many contributions to the theory of ordinary differential equations."
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|2009|| {{sortname|John M.|Ball}}||[[United Kingdom|British]]{{GBR}}|| "for his seminal work in mechanics and nonlinear analysis and his encouragement of mathematical research in developing countries."
|}
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