2013 Ostrowski Prize lecture

Yitang (Tom) Zhang, University of New Hampshire

"Small gaps between primes and primes in arithmetic progressions"

A major ingredient of the proof is a stronger version of the Bombieri-Vinogradov theorem which asserts that the primes are well distributed in arithmetic progressions to large moduli. This result is of independent interest and it relies on the Riemann Hypothesis for varieties over finite fields.