Maybe I’m a little confused on the whole process so I wanted to ask.
I’m majoring in mathematics and physics started thinking about grad school. I wanted to figure out which areas interest me the most so I got the princeton companion to mathematics and read about areas I thought were interesting. So far I’m at
Complex analysis, quantum mechanics, computational science, applications of stochastic analysis, information theory, continuum mechanics, applied combinatorics and graph theory, combinatorial optimization, general relativity and cosmology, data mining and analysis, ODE / PDE, approximation theory, continuous optimization, numerical linear algebra and matrix analysis. That’s just for applied mathematics
There’s also analytical number theory, computational number theory, computational complexity, numerical analysis, set theory, and stochastic processes.
I know it’s a lot and I can’t expect to learn everything so I was just trying to figure which interests me the most and it’s pretty difficult. I feel like some areas have a little bit of overlap but what do I know.
Any advice?