What Was Isadore Singer’s Impact on Mathematics?

[robphy]

https://www.nytimes.com/2021/02/12/science/isadore-singer-dead.html

https://en.wikipedia.org/wiki/Isadore_Singer

https://math.mit.edu/directory/profile.php?pid=249

With Michael Atiyah, Singer proved the Atiyah-Singer Index Theorem in 1962, one of the most significant discoveries in 20th century mathematics, bridging widely different branches from analysis to differential geometry and topology. Its further development has paved the way for deeper interactions between mathematics and high-energy physics, of which Singer has continued a leadership role.

https://infinite.mit.edu/video/isadore-m-singer


t=35m11s for an attempt to explain the theorem

http://www.math.stonybrook.edu/Videos/SimonsLectures/

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=6405
https://www.math.columbia.edu/~woit/wordpress/?p=12186

 

[atyy]

He was a physics undergrad!