What about lemons in the family? Not all Bernoulli's were top shelf, not all Bach's were JS or PDQ level.
Not all of Bach, Bernoulli, and Euler's children were lemons.
"One bad apple" disproves both extreme nature and extreme nurture theories. See also 2nd generation business inheritors, and statesmen.
I do like the Noether example of offspring going further than parent.
You'll never get a scientific answer to this question or anything like it in our lifetimes, because no competent sociologist is dumb enough politically to touch it.
There was already an economics paper on the relation between IMO scores and mathematician productivity (spoiler: very strong, contrary to the anti-contest sentiment on MJR), including the correlation to top prizes. Wikipedia has most of the necessary background information to get the family origins of the prizewinners.
You'll never get a scientific answer to this question or anything like it in our lifetimes, because no competent sociologist is dumb enough politically to touch it.
There was already an economics paper on the relation between IMO scores and mathematician productivity (spoiler: very strong, contrary to the anti-contest sentiment on MJR), including the correlation to top prizes. Wikipedia has most of the necessary background information to get the family origins of the prizewinners.
That could mean that contest ppl cluster in areas that publish a lot like combinatorics
There was already an economics paper on the relation between IMO scores and mathematician productivity (spoiler: very strong, contrary to the anti-contest sentiment on MJR), including the correlation to top prizes. Wikipedia has most of the necessary background information to get the family origins of the prizewinners.
That could mean that contest ppl cluster in areas that publish a lot like combinatorics
The contest people disproportionally gravitate to theory subjects that are deep or trendy, not low tech stuff like combinatorics.
[...]That could mean that contest ppl cluster in areas that publish a lot like combinatorics
The contest people disproportionally gravitate to theory subjects that are deep or trendy, not low tech stuff like combinatorics.
Just because you do not understand (modern) combinatorics, does not make it low tech or non-deep.
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