Have D.Phil in Mathematical Physics from 25 years ago.
I also like to work in the mathematical foundations of Computer Science and AI. I would be interested to find a merger of work in all three areas....
I am currently updating my understanding of mathematics fundamentals (Set Theory, Reverse Mathematics, Mathematical Logic, etc) and looking at non-standard ideas there to see if any might provide a basis for a different framework for understanding Quantum Theory.
I am also curious about the roles (that I have uncovered) that certain mathematical assumptions are playing in various Applied sciences.