I was using the word “groundbreaking” in the sense of making an unusually significant advance in the field or solving an unusually difficult problem.
I have to admit I know only undergraduate calculus, so I made an assumption that the list I based this off of described such accomplishments.
If not, it still would show that most academically interesting math problems are solved by PhDs, and that people capable of doing the work tend to find the PhD an attractive/helpful way to get there.
I was using the word “groundbreaking” in the sense of making an unusually significant advance in the field or solving an unusually difficult problem.
I have to admit I know only undergraduate calculus, so I made an assumption that the list I based this off of described such accomplishments.
If not, it still would show that most academically interesting math problems are solved by PhDs, and that people capable of doing the work tend to find the PhD an attractive/helpful way to get there.