Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

The Clay Mathematics Institute

2015 Clay Research Conference 30 September. Charles Fefferman, Mike Hopkins, Maryam Mirzakhani, Andrei Okounkov, Peter Scholze. Associated workshops:

Public lecture 1 October.  Étienne Ghys: Dancing vortices.

Millennium Problems

If it is easy to check that a solution to a problem is correct, is it also easy to solve the problem? This is the essence of the P vs NP question. Typical of the NP problems is that of the Hamiltonian Path Problem: given N cities to visit, how can one do this without visiting a city twice? If you give me a solution, I can easily check that it is correct. But I cannot so easily find a solution.


The proceedings of the 12th CMI Summer School on The Resolution of Singular Algebraic Varieties (Proceedings, Volume 20) are now available for download in the online library.
Research Fellow James Maynard has been awarded a 2015 LMS Whitehead Prize for his spectacular results on gaps between prime numbers.  He simplified and extended the work of Zhang on bounded gaps...