, ▁analysis , ▁number ▁theory ▁and ▁random ▁matrices . ▁In ▁ 1 9 7 3 ▁the ▁number ▁the or ist ▁Hugh ▁Low ell ▁Mont gom ery ▁was ▁visit ing ▁the ▁Institute ▁for ▁Advanced ▁Study ▁and ▁had ▁just ▁made ▁his ▁pair ▁correlation ▁conject ure ▁concerning ▁the ▁distribution ▁of ▁the ▁zeros ▁of ▁the ▁Riemann ▁z eta ▁function . ▁He ▁showed ▁his ▁formula ▁to ▁the ▁math ematic ian ▁At le ▁Sel berg , ▁who ▁said ▁that ▁it ▁looked ▁like ▁something ▁in ▁mathematical ▁physics ▁and ▁that ▁Mont gom ery ▁should ▁show ▁it ▁to ▁D ys on , ▁which ▁he ▁did . ▁D ys on ▁recognized ▁the ▁formula ▁as ▁the ▁pair ▁correlation ▁function ▁of ▁the ▁Gaussian ▁unit ary ▁ensemble , ▁which ▁phys ic ists ▁have ▁studied ▁extens ively . ▁This ▁suggested ▁that ▁there ▁might ▁be ▁an ▁unexpected ▁connection ▁between ▁the ▁distribution ▁of ▁pr imes ▁( 2 , ▁ 3 , ▁ 5 , ▁ 7 , ▁ 1 1 ,   ...) ▁and ▁the ▁energy ▁levels ▁in ▁the ▁nuc lei ▁of ▁heavy ▁elements ▁such ▁as ▁u ran ium . ▁ ▁Ar ound ▁ 1 9 7 9 ▁D ys on ▁worked ▁with ▁the ▁Institute ▁for ▁Energy ▁Analysis ▁on ▁climate ▁studies . ▁This ▁group , ▁under ▁Al vin ▁Wein berg ' s ▁direction , ▁pione ered ▁mult id is cipl inary ▁climate ▁studies , ▁including ▁a ▁strong ▁bi ology ▁group . ▁Also ▁during ▁the ▁ 1 9 7 0 s , ▁D ys on ▁worked ▁on ▁climate ▁studies ▁conducted ▁by ▁the ▁J A SON ▁defense ▁advis ory ▁group .