att ices ▁to ▁the ▁case ▁of ▁groups ▁in ▁positive ▁characteristics . ▁He ▁also ▁has ▁contributions ▁to ▁non - van ishing ▁the or ems ▁on ▁coh om ology ▁of ▁arithmetic ▁groups , ▁to ▁Le f sch etz ▁type ▁the or ems ▁on ▁restriction ▁of ▁coh om ology ▁on ▁locally ▁symmetric ▁spaces ▁and ▁to ▁arithmetic ity ▁of ▁mon od rom y ▁groups . ▁ ▁Other ▁awards / hon ours ▁Young ▁Scient ist ▁Award ▁( 1 9 9 0 ) ▁Bir la ▁Award ▁( 2 0 0 0 ) ▁I CT P ▁Prize ▁( 2 0 0 0 ) ▁Fellow , ▁Indian ▁Academy ▁of ▁Sciences , ▁Bang al ore ▁ ▁Fellow , ▁Indian ▁National ▁Science ▁Academy , ▁ 2 0 0 4 ▁Fellow ▁of ▁the ▁American ▁Mathemat ical ▁Society , ▁ 2 0 1 2 ▁Spe aker ▁at ▁the ▁AR beit stag ung , ▁ 1 9 9 9 ▁Inv ited ▁Spe aker ▁at ▁the ▁IC M , ▁ 2 0 1 0 , ▁Hy der abad ▁ ▁References ▁ ▁Category : 1 9 5 8 ▁birth s ▁Category : 2 0 th - century ▁Indian ▁mathemat icians ▁Category : Ind ian ▁group ▁the or ists ▁Category : T ata ▁Institute ▁of ▁Fund amental ▁Research ▁fac ulty ▁Category : F ell ows ▁of ▁the ▁Indian ▁National ▁Science ▁Academy ▁Category : F ell ows ▁of ▁the ▁Indian ▁Academy ▁of ▁Sciences ▁Category : F ell ows ▁of ▁the ▁American ▁Mathemat ical ▁Society ▁Category : Univers ity ▁of ▁M umb ai ▁al umn i ▁Category : L iving ▁people