Her career as a mathematician started picking up after her stint at MIT and soon she was accepted to the Institute for Advanced Study where she worked with Segal on the Atiyah–Segal completion theorem.
Liouville's theorem | George Segal | Erich Segal | Chinese remainder theorem | Hugh Segal | Shannon–Hartley theorem | Quillen–Suslin theorem | Nyquist–Shannon sampling theorem | Hahn–Banach theorem | Fermat's Last Theorem | Buckingham π theorem | Vincent Ségal | Thue–Siegel–Roth theorem | Szemerédi's theorem | Schottky's theorem | Riemann-Roch theorem | Pythagorean theorem | Patrick Atiyah | Nash embedding theorem | Müntz–Szász theorem | Michael Atiyah | Malgrange–Ehrenpreis theorem | Kleene fixed-point theorem | Kakutani fixed-point theorem | George Segal (artist) | Gauss–Bonnet theorem | Doob's martingale convergence theorem | Dirichlet's theorem on arithmetic progressions | Denjoy theorem | Chamber Music (Ballake Sissoko and Vincent Segal album) |
Later Atiyah and Singer showed that index theorems for elliptic operators on closed manifolds with infinite fundamental group could naturally be phrased in terms of unbounded operators affiliated with the von Neumann algebra of the group.
In 1978 Constantine Callias, at the suggestion of his Ph.D. advisor Roman Jackiw, used the axial anomaly to derive this index theorem on spaces equipped with a Hermitian matrix called the Higgs field.
The synod proclaimed Ignatius III Atiyah as the only Patriarch, and Cyril Dabbas he was brought in chains to Ras-Baalbek and exiled near Hermel, where shortly later he was executed by men of the Emir.
It was influenced by Atiyah's concept of Fredholm modules for the Atiyah–Singer index theorem, and the classification of extensions of C*-algebras by Brown–Douglas–Fillmore (Lawrence G. Brown, Ronald G. Douglas, Peter Arthur Fillmore 1977).
The phenomenon of lacunas has been extensively investigated in Atiyah, Bott and Gårding (1970, 1973).