Klaus Roth, who made fundamental contributions to analytic number theory…

Kevin Ford, James Maynard, and I have uploaded to the arXiv our preprint…

In the previous set of notes we established the central limit theorem, w…

A basic estimate in multiplicative number theory (particularly if one is…

Let denote the Liouville function. The prime number theorem is equivalen…

Given any finite collection of elements in some Banach space , the trian…

In this blog post, I would like to specialise the arguments of Bourgain,…

Over on the polymath blog, I’ve posted (on behalf of Dinesh Thakur) a ne…

I’ve been meaning to return to fluids for some time now, in order to bui…

I’ve just uploaded to the arXiv my paper Finite time blowup for a superc…