Earlier quoted context omitted.
The grumpy-ness aside which is difficult to judge in an unbiased manner and every one for himself, the question is still relevant, and something that I can relate to tho not being in the affected age segment. I look around at my last 2 work places and have yet to meet more than the occasional mid-40s professional who is in positions of technical ownership. Most of them have moved into positions of management (paper p…
The answer may be related to the early age at which mathematicians seem to peak. Another factor is the rate of change in technology. Mere experience may be an obstacle there. When you start knowing nothing and pick a technology to learn, you naturally tend to pick the newest one. Whereas for an old person, learning new technologies is something you do out of duty as much as eagerness. An old person learning new techn…
I may have been searching badly, but I couldn't really find anything to support this idea, at least in terms of a cognitive deficit. The following was the best discussion about mathematicians and age that I found:
http://sps.nus.edu.sg/~limchuwe/articles/youth.html
Bullet points:
- Mean age of best contribution by mathematicians is 38.8 (based on counting references to research by historians and biographers). This is roughly the same for other SET researchers.
- The Fields Medal cannot be awarded to mathematicians over the age of 40, which skews the mean age of mathematicians receiving their field's most prestigious award.
- As mathematicians get older, they take on more administrative work, have families, etc., which reduces the time and energy they have to devote to research. (I'm reminded of how Andrew Wiles basically shut out the world while proving Fermat's Last Theorem.)
- Rapid expansion of the field meant an increasing proportion of mathematicians were young, thus more discoveries were by young people.
- Math is a field where someone can make a great contribution without having acquired a large body of knowledge.
- Young math prodigies get a disproportionate share of attention.