If you really have a talent for mathematical research, a doctor of mathematics is the best doctor. If you don't learn computational mathematics, you don't need to do experiments or even program.

In addition, if you find that you are not interested in mathematics or can no longer do research, you must change careers quickly and don't die! The IQ of a doctor of mathematics will not be low. Whether it is self-study cs or quant, there is not much problem. Even Hua Jie is more willing to recruit a doctor with a background in mathematics and physics.

Because there is no need to mix laboratories, many doctoral supervisors don't care much about students, so it is important not to indulge themselves during their doctoral studies, and the prospects will not be bad.