[andy99]

Modern PhDs are not designed for people that are smart like this. She's a math savant that obviously has a unique and demonstrably effective way of looking at things, why destroy that with "training how to do research".

I hope she's found a program that will support her while realizing she's smarter than whomever is setting the rules, rather than something stifling.

[mkl]

This is not true at all. Maths PhDs are excellent for this kind of person, and foster and grow such abilities. No matter how smart you are, training on how to do research is going to improve your capabilities and success.