Isadore Singer

From the American Philosophical Society:

…In his research Dr. Singer has covered deeper analytic properties of partial differential equations on manifold turnout that depend on ideas from differential geometry. He made decisive advances in this direction and applied his understanding of geometry to the use of fiber bundles for Yang-Mills fields, sparking a convergence between theoretical physics and mathematics. Additionally, his spectacular development of the Atiyah-Singer index theorem described how the index of an elliptic differential operator on a compact manifold can be determined by topolotical variance. He has applied these ideas to Yang-Mills fields in stantors and non-abelian theories…

American Philosophical Society, "I. M. Singer" (1985)

Abel Prize Laureate, 2004