Caroline Turnage-Butterbaugh, NDSU

Math Club, December 05^th.

Title:  Dickson’s Conjecture and Bounded Gaps Between Primes.

Abstract:  Last week Professor Sather-Wagstaff spoke about the Twin Prime Conjecture and the recent flurry of events that have transpired since Zhang's incredible proof that there are infinitely many primes at most 70,000,000 apart. In this talk, I will discuss a generalized form of the Twin Prime Conjecture, called Dickson's Conjecture, which received considerable attention last year via the independent work of James Maynard and Terrance Tao. I will also discuss some immediate consequences of the work of Maynard-Tao, including my work with Williams Banks and Tristan Freiberg on gaps between primes. Finally, I will report on my experience last month at the Bounded Gaps Between Primes Workshop at the American Institute of Mathematics (which will include photos of Zhang, Maynard, Tao, and many others!)