▁ ▁She ▁has ▁also ▁contributed ▁to ▁the ▁analysis ▁of ▁black ▁hole ▁solutions ▁and ▁non comm ut ativity ▁in ▁string ▁theory ▁and ▁integra b ility ▁in ▁string ▁theories ▁and ▁gauge ▁theories . ▁N app i ▁has ▁also ▁written ▁a ▁number ▁of ▁articles ▁on ▁education ▁and ▁women ▁in ▁science . ▁ ▁Personal ▁N app i ▁is ▁married ▁to ▁Edward ▁W itten , ▁a ▁mathematical ▁phys ic ist ▁and ▁professor ▁at ▁the ▁Institute ▁for ▁Advanced ▁Study ▁in ▁Pr inc eton , ▁New ▁Jersey . ▁ ▁They ▁have ▁three ▁children , ▁Il ana , ▁Daniel a , ▁and ▁Rafael . ▁ ▁References ▁ ▁Category : 2 0 th - century ▁American ▁phys ic ists ▁Category : 2 0 th - century ▁Italian ▁scient ists ▁Category : 2 0 th - century ▁phys ic ists ▁Category : 2 0 th - century ▁American ▁women ▁scient ists ▁Category : 2 1 st - century ▁American ▁phys ic ists ▁Category : 2 1 st - century ▁Italian ▁scient ists ▁Category : 2 1 st - century ▁phys ic ists ▁Category : 2 1 st - century ▁American ▁women ▁scient ists ▁Category : American ▁women ▁phys ic ists ▁Category : Ital ian ▁phys ic ists ▁Category : Ital ian ▁women ▁phys ic ists ▁Category : Part icle ▁phys ic ists ▁Category : The oret ical ▁phys ic ists ▁Category : L iving ▁people ▁Category : Har vard ▁University ▁staff ▁Category : Place ▁of ▁birth ▁missing ▁( l iving ▁people ) ▁Category : Year ▁of ▁birth ▁missing ▁( l iving ▁people )