$1 Million Question - Will Math Expert Accept Prize?
nytimes.com
nytimes.com
Obviously he has a very strict standards for honesty, and will not accept anything from the mathematics community, unless he perceives them as honest.
I think mathematicians do not think they need to do anything because they think it is very clear by now who solved the Poincare conjecture and who did not, and there is no need to embarrass a very influential mathematician over the whole deal. But Perelman does not see it this way, and wants to be vindicated explicitly.
http://www.newyorker.com/archive/2006/08/28/060828fa_fact2?c...
Note that this has been strongly disputed by certain parties mentioned in the article that do not come off that well, but the New Yorker stands by the reporting and has not issued corrections.
This is both frightening and disappointing. I can hardly imagine how much advancement in the field is being held back by this attitude.
Perelman got the Fields medal in May 2006 and finally refused it in June 2006 when a team of mathematicians came to his home to visit him.
So Perelman was most likely aware of the paper before he was even awarded the medal and was definitely aware of the controversy when he finally refused it.
Your other statements are attempts to dive deep into semantics in order to change the meaning of the cited article. You make it sound like his decision to refuse the medal and quit mathematics were completely separate, and based on different reasons, but the persons that interviewed him reported differently: "The prospect of being awarded a Fields Medal had forced him to make a complete break with his profession."
Regarding his comments about lack of integrity in mathematics, it is true that he kept his comments general, but that does not mean that they had nothing to do with his work on Poincare. Since Poincare was the last big thing he worked on and he worked on it for about ten years, finishing only a couple of years before the interview, and since it is by far the most important thing to happen to his career thus far, one might think that his comments on the field of mathematics might have had at least something to do with his work on Poincare.
I also recall seeing a Marcus du Sautoy documentary where he went to Russia to try and meet Grigori (without much success as I recall). I can't find a watchable version of that, though.
Ultimately that entire series was about du Sautoy going 'look at me, I'm clever'
In wider usage, I guess you could say "Math expert" to distinguish between students and professionals, but it's still as clear as mud because it doesn't state which field of mathematics the person is an expert in.
You don't need a license to be a mathematician. There's this conjecture, undecided for 100 years. Whoever solves it gets the glory. He doesn't have to be a "mathematician" or an "expert". A correct proof is all it takes.
He solved it, and all that's left for us is to discuss whether he's an expert or not:)
http://en.wikipedia.org/wiki/Solution_of_the_Poincaré_conjec...
==> take the millions and shove it up your asses.....