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honorary doctor of the Norwegian University of Science and Technology20The Shaw Prize in Mathematical Sciences24Shaw Prize36Steele Prize for Mathematical Exposition45Fields medal67Wolf Prize in Mathematics68Josiah Willard Gibbs Lectureship92BBVA Foundation Frontiers of Knowledge Award129algebraic geometry244Fellow of the Society for Industrial and Applied Mathematics419Doctor of Science429National Medal of Science535Foreign Member of the Royal Society764MacArthur Fellows Program1,128Fellow of the American Mathematical Society1,245Doctor of Philosophy6,244193711,0531930108,385United Kingdom142,528English435,916United States442,023201,347,152male1,587,100