Atiyah-Singer index theorem

…Isadore Singer, in the famous Atiyah-Singer index theorem, which characterizes the number of solutions for an elliptic differential equation. (Atiyah and Singer were jointly recognized for this work with the 2004 Abel Prize.) His early work in topology and algebra was followed by work in a number of different fields,…

…discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics.”