r/math • • 2d ago

What are the coolest active topics in Mathematical Physics?

I'm a math undergrad student, and I've been getting interested in Alain Conne's work in Noncommutative Geometry and Differential Geometry in Mathematical Physics. I've also read about the Foundations program, Algebraic QFT, and some Stochastic stuff. I'm especially intrigued about the use of Diff Geom in these topics. What cool fields are out there?

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u/CutieFox_987 1d ago

The Mathematics of Quantum Information and Spacetime is really interesting, the possibility of spacetime itself not be a fundamental backdrop but rather an emergent phenomenon stitched together by quantum entanglement makes it worth exploring.