▁and ▁got ▁interesting ▁results . ▁In ▁recognition ▁of ▁his ▁work ▁and ▁his ▁contribution ▁to ▁Number ▁Theory , ▁the ▁Institute ▁promoted ▁him ▁to ▁associate ▁professor . ▁He ▁protest ed ▁against ▁this ▁promotion ▁as ▁' undes erved ', ▁and ▁had ▁to ▁be ▁persu aded ▁to ▁accept ▁the ▁position . ▁He ▁proceeded ▁to ▁write ▁his ▁th esis ▁in ▁ 1 9 6 6 ▁and ▁took ▁his ▁doctor al ▁exam ination ▁in ▁ 1 9 6 7 . ▁Dr . ▁Sie gel , ▁who ▁was ▁one ▁of ▁the ▁exam in ers , ▁was ▁highly ▁im pressed ▁with ▁the ▁young ▁man ' s ▁depth ▁of ▁knowledge ▁and ▁his ▁great ▁mathematical ▁ab ilities . ▁ ▁Ram an uj am ▁was ▁a ▁scri be ▁for ▁Ig or ▁Sh af are v ich ' s ▁course ▁of ▁lect ures ▁in ▁ 1 9 6 5 ▁on ▁minimal ▁models ▁and ▁bir ational ▁transformation ▁of ▁two - dimensional ▁schemes . ▁Professor ▁Sh af are v ich ▁subsequently ▁wrote ▁to ▁say ▁that ▁Ram an uj am ▁not ▁only ▁corrected ▁his ▁mistakes ▁but ▁complement ed ▁the ▁proofs ▁of ▁many ▁results . ▁The ▁same ▁was ▁the ▁case ▁with ▁M um ford ' s ▁lect ures ▁on ▁ab elian ▁vari eties , ▁which ▁were ▁delivered ▁at ▁T IF R ▁around ▁ 1 9 6 7 . ▁M um ford ▁wrote ▁in ▁the ▁pre face ▁to ▁his ▁book ▁that ▁the ▁notes ▁improved ▁upon ▁his ▁work ▁and ▁that ▁his ▁current ▁work ▁on ▁ab elian ▁vari eties ▁was ▁a ▁joint ▁effort ▁between ▁him ▁and ▁Ram an uj am . ▁A