Are there mathemaics competition for professional mathematician?

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Discussion Overview

The discussion centers around the existence and nature of mathematics competitions specifically for professional mathematicians. Participants explore the concept of competition in mathematics, comparing it to competitions in other fields and discussing the motivations and structures surrounding mathematical research and funding.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Meta-discussion

Main Points Raised

  • Some participants note that there are no competitions specifically for professional mathematicians, contrasting this with programming competitions.
  • One participant mentions the Clay prize problems as a significant competition, but highlights that many mathematicians prefer intrinsic motivation over financial incentives.
  • Another participant questions the need for mathematical competitions, arguing that mathematics is not inherently competitive and requires extensive time for problem-solving.
  • A participant references historical competitions related to solving cubic equations, suggesting that professional mathematicians may not find value in quick-answer competitions.
  • Some participants propose that the process of obtaining funding, such as through NSF grants, can be viewed as a form of competition, with challenges related to visibility and recognition in the field.
  • Concerns are raised about the efficiency and fairness of the grant decision process, with observations about the influence of networking and reputation on funding outcomes.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and relevance of competitions in mathematics, with no consensus on whether such competitions should exist or how they would be structured. The discussion remains unresolved regarding the value of competition in the mathematical community.

Contextual Notes

Participants highlight the complexity of competition in mathematics, noting that traditional competitions may not align with the nature of mathematical research, which often requires long-term commitment and deep exploration of problems.

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do you mean like weekend mathematical paintball games? competition in mathematics is measured by relative success in your field. The Clay prize problems are a specifically announced mathematical competition, with each problem being worth a million dollars. But many mathematicians ignore such competitions because they prefer to work on problems that interest them intrinsically rather than respond to financial inducements. (See the lovely interview with Bott a few years ago.) But universities do like these financial inducements and care more about the prizes and money their staff bring in than about the intellectual content of them. So in a sense NSF and other rgants are a mathematical competition, particularly since without money and the time it buys, it is ahrd to do your own research, and especially hard to buy time for your grad students to do theirs.
 
do you mean like weekend mathematical paintball games? competition in mathematics is measured by relative success in your field. The Clay prize problems are a specifically announced mathematical competition, with each problem being worth a million dollars

There are 6 clay prize if i remember correctly. what i have in mind are easiler problems. There are chess competitions. programming competitons, scrabble competitons. Why are there not a competiton for math? i think the subject can better be benefited if there are some competitive sporting elements to it like chess.
 
Why shuold there be? Are there competitions for chemisty, physics, philosophy? Mathematics is not an inherently competitive (in your confrontational sense) thing. There is no need or scope, or possibility for mathematical competitions like these. It takes days, weeks, months, or even years to prove things in mathematics. There isn't an exercise sheet for us to do, you know.
 
there is a college student level contest, the putnam exam, as you probably know.

and for some reason there were such competitions hundreds of years ago, such as contests at solving cubic equations, but that was before the cubic formula was generally known.

i think professional mathematicians just do not see any relationship between answering necessarily shallow questions quickly, and doing math research. so it doesn't interest them. most of us did such things as children though.

i do recall once as a grad student bragging about having won a statewide math contest to a friend who quickly silenced me by remarking he had won a nationwide one (in a nation 4 or 5 times the size of my state.)
 
aren't the competitions called trying to find funding?
 
well that's what i said earlier about the nsf grant process being a competition. its very tough too, since the amount of money is limited. and ones opinion of the applicants does not always match the list of recipients

the decision process has changed also to make it more "efficient". they do not send out as many solicitations to people in your field who know you, rather a smaller group of high level people tend to make more decisions, so if they don't know your work, it may be too bad.

most people would probably agree the best people do get funded, but the other people from smaller places have a harder time geting known.

for example i never got funded until i visited at harvard, then all of a sudden i got funded for the same work i had done before. it seems the people at harvard were making most of the decisions so it helped immensely to meet them.

ultimately though it matters what you are doing, plus a smattering of who knows about it. so it helps to travel, give talks, publish promptly, and actually apply for grants in a timely fashion.in spite of grants supposedly being meant to encourage ratehr than reward good work, that's just not possible in rpactice, since crystal balls are so rare, so be sure to apply right after geting some good results.
 

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