# Kevin Ford

Affiliation: University of Illinois

Email: ford@math.uiuc.edu

Title Of Talk: Large gaps between primes and related problems

Abstract: We describe recent improvements to lower bounds on the largest gap between consecutive primes less than $x$. This is joint work with Ben Green, Sergei Konyagin, James Maynard and Terence Tao. We also describe work on the problem of finding long strings of composite numbers containing an integers of a prescribed type, such as a perfect $k$-th power (joint with Sergei Konyagin and Roger Heath-Brown).