Clay Institute Millennium Prize Problems

The winner of the 2014 Chern medal tells us about beauty in maths, the twists and turns of mathematical history, and his work for the maths community.

Regular Plus contributor Lewis Dartnell reports on the scramble for million-dollar prizes that made mathematical headlines at the BA Festival of Science in September 2004.
Can Dan Goldston and Cem Yalcin Yildrim repair the hole in their proof to make the biggest breakthrough in prime number theory for 80 years?
The mathematics of Grigori Perelman may earn him a million dollars, if no holes are found in his proof of the Poincaré Conjecture.
One million dollars is waiting to be won by anyone who can solve one of the grand mathematical challenges of the 21st century. In the second of two articles, Chris Budd looks at the well-posedness of the Navier-Stokes equations.
One million dollars is waiting to be won by anyone who can solve one of the grand mathematical challenges of the 21st century. But be warned...these problems are hard. In the first of two articles, Chris Budd explains how to hit the bigtime.