His work has had, and will continue to have, a great impact on areas of mathematics and physics as diverse as topology, algebraic geometry, representation theory, and general relativity as well as differential geometry and partial differential equations.
Kanyang trabaho ay may had, at patuloy na magkaroon, isang malaking epekto sa mga lugar ng matematika at pisika tulad ng magkakaibang bilang topology, algebraic geometry, representasyon teorya, at pangkalahatang kapamanggitan pati na rin ang kaugalian geometry at bahagyang kaugalian equation.