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ergodic theory30Bôcher Memorial Prize39Newcomb Cleveland Prize44honorary doctor of the University of Poitiers55doctor honoris causa from the University of Paris311topology327number theory480Master of Arts939Bachelor of Arts1,139Cambridge1,614Fellow of the Royal Society of Edinburgh2,286mathematics3,76018845,14519445,353Doctor of Philosophy6,244194043,212188051,05919306,24320409,145English435,916United States442,023male1,587,100