▁mod uli ▁problems . ▁He ▁has ▁also ▁worked ▁in ▁differential ▁geometry : ▁his ▁joint ▁paper ▁with ▁MS ▁Nar as im han ▁on ▁universal ▁connections ▁has ▁been ▁influ ential . ▁It ▁enabled ▁SS ▁Ch ern ▁and ▁B ▁Sim ons ▁to ▁introduce ▁what ▁is ▁known ▁as ▁the ▁Ch ern - Sim ons ▁invariant , ▁which ▁has ▁proved ▁useful ▁in ▁theoretical ▁physics . ▁ ▁Education ▁and ▁Career ▁ ▁He ▁is ▁an ▁al umn us ▁of ▁the ▁Ram ak r ish na ▁Mission ▁School ▁in ▁Chen na i ▁and ▁the ▁V ive kan anda ▁College ▁in ▁Chen na i , ▁where ▁he ▁completed ▁a ▁B A ▁Hon ours ▁in ▁mathematics . ▁He ▁completed ▁his ▁Ph D ▁at ▁the ▁T ata ▁Institute ▁of ▁Fund amental ▁Research , ▁under ▁the ▁direction ▁of ▁MS ▁Nar as im han . ▁He ▁did ▁his ▁post - do ctor al ▁studies ▁at ▁Oxford ▁University , ▁Harvard ▁University ▁and ▁E TH ▁Zur ich . ▁ ▁He ▁later ▁purs ued ▁a ▁career ▁at ▁T IF R . ▁He ▁picked ▁up ▁the ▁methods ▁of ▁modern ▁differential ▁geometry ▁from ▁the ▁French ▁math ematic ian ▁Jean - Louis ▁K osz ul , ▁and ▁later ▁successfully ▁applied ▁it ▁for ▁his ▁research ▁cent red ▁on ▁algebraic ▁geometry . ▁He ▁has ▁also ▁made ▁contributions ▁to ▁the ▁topics ▁of ▁ab elian ▁vari eties ▁and ▁vector ▁bund les . ▁ ▁Coll abor ations ▁and ▁In flu ences ▁ ▁He ▁collabor ated ▁with ▁Ra oul ▁B ott , ▁who ▁was ▁at ▁Harvard ▁University . ▁He ▁has ▁been ▁a ▁visit ing ▁professor ▁at ▁Harvard ▁University