Mathematicians may have solved the Riemann hypothesis and the Poincaré conjecture, though, as is usual, their proofs must be validated and accepted by other mathematicians.
Louis de Branges de Bourcia has posted a paper titled An Apology for the Proof of the Riemann hypothesis (PDF). Here's his full proof (PDF).
Grigori Perelman's has posted two papers (1, 2) proposing a proof of a problem even more complex and difficult than the Poincaré conjecture.
If you'll excuse me, I'm going to see if I can spot any holes in their work.
Posted by eugene at September 7, 2004 12:34 AM