I am a co-founder of PhysicsOverflow (www.physicsoverflow.org).

Trying to dig deeper and more serious into some mathematical topics as needed for cool theoretical physics. At present, I am in particular learning about differential geometry, group theory, and representation theory.

Further, I am interested in certain non-linear generalizations of vector spaces that might help simplify computations in quantum mechanics, quantum field theory, and make some problems in theoretical physics rigorously tractable in the first place.