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IEEE Jack S. Kilby Signal Processing Medal6King Faisal Prize6Levi L. Conant Prize8additive combinatorics11SASTRA Ramanujan Prize13Crafoord Prize in Mathematics14Nemmers Prize in Mathematics15analytic number theory15Breakthrough Prize in Mathematics16George Pólya Prize21Grand Prize of the French Academy of Science22Onsager Medal22Crafoord Prize23Ostrowski Prize25Australian Mathematical Society Medal26Clay Research Award29Corresponding Member of the Australian Academy of Science29Princess of Asturias Awards37Bôcher Memorial Prize39Alan T. Waterman Award49Salem Prize51King Faisal Prize in Science60harmonic analysis60Fields medal67