2003 Professor Lennart Carleson ForMemRS, for his deep and fundamental contributions to mathematics in the field of analysis and complex dynamics. His most spectacular achievement was the proof of the convergence almost everywhere of the Fourier Series of square integrable and continuous functions.
2000 Professor Nigel James Hitchin, 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.
1997 Harold Scott Macdonald Coxeter, 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.
1994 Peter Whittle, 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.
1991 KF Roth, for his many contributions to number theory and in particular his solution of the famous problem concerning approximating algebraic numbers by rationals.
1988 CTC Wall, for his contributions to the topology of manifolds and related topics in algebra and geometry.
1985 John Griggs Thompson, for his fundamental contributions leading to the complete classification of all finite simple groups.
1982 John Frank Adams, 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.
1979 Graham Higman, for his distinguished and profoundly influential contributions to the theory of finite and infinite groups.
1976 David George Kendall, for his many distinguished contributions to probability theory and its applications.
1973 John William Scott Cassels, for his numerous important contributions to the theory of numbers.
1970 George Frederick James Temple, for his many distinguished contributions to applied mathematics, especially in his work on distribution theory.
1967 Harold Davenport, for his many distinguished contributions to the theory of numbers.
1964 Mary Lucy Cartwright, for her distinguished contributions to analysis and the theory of functions of a real and complex variable.
1961 Philip Hall, for his distinguished researches in algebra.
1958 Maxwell Herman Alexander Newman, for his distinguished contributions to combinatory topology, Boolean algebras and mathematical logic.
1955 Edward Charles Titchmarsh, for his distinguished researches on the Riemann zeta-function, analytical theory of numbers, Fourier analysis, and eigen-function expansions.
1952 Abram Samoilovitch Besicovitch, for his outstanding work on almost-periodic functions, the theory of measure and integration and many other topics of theory of functions.