▁New ▁York ▁City , ▁Maz ur ▁attended ▁the ▁Bron x ▁High ▁School ▁of ▁Science ▁and ▁M IT , ▁although ▁he ▁did ▁not ▁gradu ate ▁from ▁the ▁latter ▁on ▁account ▁of ▁failing ▁a ▁then - present ▁R OT C ▁requirement . ▁Reg ard less , ▁he ▁was ▁accepted ▁for ▁gradu ate ▁school ▁and ▁received ▁his ▁Ph . D . ▁from ▁Pr inc eton ▁University ▁in ▁ 1 9 5 9 , ▁becoming ▁a ▁Junior ▁Fellow ▁at ▁Harvard ▁from ▁ 1 9 6 1 ▁to ▁ 1 9 6 4 . ▁He ▁is ▁the ▁Ger hard ▁G ade ▁University ▁Professor ▁and ▁a ▁Senior ▁Fellow ▁at ▁Harvard . ▁He ▁is ▁the ▁brother ▁of ▁Joseph ▁Maz ur . ▁ ▁Work ▁ ▁His ▁early ▁work ▁was ▁in ▁geometric ▁topology . ▁In ▁an ▁elementary ▁fashion , ▁he ▁proved ▁the ▁generalized ▁Sch o enf lies ▁conject ure ▁( his ▁complete ▁proof ▁required ▁an ▁additional ▁result ▁by ▁Mar ston ▁Mor se ), ▁around ▁the ▁same ▁time ▁as ▁Mort on ▁Brown . ▁ ▁Both ▁Brown ▁and ▁Maz ur ▁received ▁the ▁V eb len ▁Prize ▁for ▁this ▁achiev ement . ▁ ▁He ▁also ▁discovered ▁the ▁Maz ur ▁manifold ▁and ▁the ▁Maz ur ▁sw ind le . ▁ ▁His ▁observations ▁in ▁the ▁ 1 9 6 0 s ▁on ▁analog ies ▁between ▁pr imes ▁and ▁kn ots ▁were ▁taken ▁up ▁by ▁others ▁in ▁the ▁ 1 9 9 0 s ▁giving ▁rise ▁to ▁the ▁field ▁of ▁arithmetic ▁topology . ▁ ▁Com ing ▁under ▁the ▁influence ▁of ▁Alexander ▁Gro th end ieck ' s ▁approach