▁conject ure ▁and ▁was ▁eventually ▁proven ▁by ▁Richard ▁Schw art z . ▁ ▁Professional ▁service ▁ ▁Professor ▁Gold man ▁also ▁heads ▁a ▁research ▁group ▁at ▁the ▁University ▁of ▁Maryland ▁called ▁the ▁Ex perimental ▁Ge ometry ▁Lab , ▁a ▁team ▁developing ▁software ▁( prim arily ▁in ▁Mathemat ica ) ▁to ▁explore ▁geometric ▁structures ▁and ▁dynamics ▁in ▁low ▁dimensions . ▁He ▁served ▁on ▁the ▁Board ▁of ▁Govern ors ▁for ▁The ▁Ge ometry ▁Center ▁at ▁the ▁University ▁of ▁Minnesota ▁from ▁ 1 9 9 4 ▁to ▁ 1 9 9 6 . ▁ ▁He ▁served ▁as ▁Editor - In - Ch ief ▁of ▁Ge omet ria e ▁D edic ata ▁from ▁ 2 0 0 3 ▁until ▁ 2 0 1 3 . ▁ ▁Awards ▁and ▁hon ors ▁In ▁ 2 0 1 2 ▁he ▁became ▁a ▁fellow ▁of ▁the ▁American ▁Mathemat ical ▁Society . ▁ ▁Selected ▁publications ▁ ▁Pap ers ▁ ▁William ▁Gold man , ▁" On ▁the ▁polynomial ▁coh om ology ▁of ▁aff ine ▁manif olds ", ▁In vent . ▁Math . ▁ 6 5 ▁( 1 9 8 1 / 8 2 ), ▁no . ▁ 3 , ▁ 4 5 3 – 4 5 7 . ▁ ▁William ▁Gold man ▁and ▁Morris ▁Hir sch , ▁" A ▁general ization ▁of ▁B ie ber bach ' s ▁theorem ", ▁In vent . ▁Math . ▁ 6 5 ▁( 1 9 8 1 / 8 2 ), ▁no . ▁ 1 , ▁ 1 – 1 1 . ▁ ▁David ▁Fried ▁and ▁William ▁Gold