University of Texas
2019 Abel Prize

Recognizes pioneering scientific achievements in mathematics.

“for her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

Massachusetts Institute of Technology
2004 Abel Prize

Recognizes pioneering scientific achievements in mathematics.

“for their 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.” (awarded jointly with Sir Michael Francis Atiyah, University of Edinburgh)