A Panorama Of Physical Mathematics c. 2022

Understand

What follows is a broad-brush overview of the recent synergistic interactions between mathematics and theoretical physics of quantum field theory and string theory.

• The discussion is forward-looking, suggesting potentially useful and fruitful directions and problems, some old, some new, for further development of the subject.
• This paper is a much extended version of the Snowmass whitepaper on physical mathematics [1].