This woman is undoubtedly exceptional. But we don't know how exceptional, because she's an outlier, educated using different methods.

We have no idea how many other people would achieve something similar with a similar background. Personally I'd bet almost anything it's a larger number than most people expect.

I'd also be surprised if she doesn't already have a pretty solid background in undergrad-level math.

The irony is she's actually more typical than not. Universities in the past were open to giving unusual talents special treatment.

Historically, the idea that everyone must follow the same path on the same timetable is unusual.

> everyone must follow the same path on the same timetable

We are livestock for corporations, that's why.