I studied Mechanical Engineering in my undergrad and have a minor in Mathematics. I have taken the standard sequence of physics up to modern physics with quantum mechanics and special relativity. I also covered a lot of engineering related physics like thermodynamics 1 & 2, fluids, heat transfer, dynamics etc..

However, if I wanted to do research related to the topology and geometry of space or their applications in quantum mechanics or general relativity, would it be possible to do that from a Mathematician’s POV without the upper level undergad physics typically required?

I would be doing a M.S. in the first 2 years and might be able to take some courses that are necessary but I don’t think I’ll be able to take too many electives.

If I wanted to do research related to the topology and geometry of space or their applications in quantum mechanics or general relativity, would it be possible to do that from a Mathematician’s POV without the upper level undergad physics typically required?