We will give an overview of Maynard and Tao's work on bounded gaps between primes and discuss how their approach can be adapted
to answer some questions about sequences of consecutive primes that were of interest to Erdos. This talk is based on joint work with Paul Pollack.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246