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I recently got to meet a fields medalist who will remain nameless but he mention a really really interesting statistic. No Field’s medalist has ever been the mentor to another Field’s medalist. I (my opinion here not his) think that this glorifies these young mathematicians who never go onto mentor or yield another similarly gifted mathematician. We should be finding great mathematicians who discover great math collaboratively.



Quibbling about the Fields Medal mentoring claim: Schwartz -> Grothendieck -> Deligne is a counterexample.



Also Atiyah supervised Donaldson (albeit jointly with Hitchin), Mirzakhani was supervised by McMullen and others I'm sure.




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