[rindalir]

In many mathematical circles, and certainly in a lot of popular books about mathematicians, there's this persistent idea that you are at your mathematical peak in your 20's (or earlier) because that's the peak of your brain power, and that once you hit 30 it's all cognitive downhill. I've always been suspicious of this (as a mathematician nearing 40, for personal reason) -- and reading this makes me wonder if the decline in productivity (if it even exists) is because of other factors entirely, such as people start families and now have other responsibilities, maturity dictates spending your time and resources elsewhere, etc...

[katmannthree]

There was a graph passed around when I was doing undergrad physics showing a weighted average of age at most impactful publication by field, with the results as I recall them now roughly in line with what one might expect: physicists peaked in their mid-ish 20's, mathematicians in their mid-late 20's / early 30's, and the for the other listed fields age steadily increases in proportion with the value of synthesis and experience versus a huge working memory and a razor sharp mind.

I was unable to find that graph looking now, if anyone recalls it with more detail I'd love to see it again.