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Perelman has also gained international notoriety for posting a generalized solution to the Poincare Conjecture on a web site in November, 2002. Many mathematicians believe that he may have successfully solved it. It is a statement to Perelman's reputation that mathematicians have been willing to come to his web site as opposed to the standard process where Perelman would submit his papers to a peer-reviewed math journal.
The Poincare Conjecture is a theorem about the nature of multidimensional space. It is the most famous open problem in topology. The Poincare Conject concerns the problem of transforming a torus into sphere.
If Perelman has indeed proven the Poincare Conjecture, then he will be eligible for the $1 million from the Clay Mathematics Institute. The Institute has identified seven open math problems which it has called the Millenium Problems and offers a $1 million prize for the solution of any of them. Perelman has said that if he wins the $1 million dollars, he plans to talk to the Institute.
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