Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“The Maynard-Tao sieve”
In May 2013, Yitang Zhang proved that there are infinitely many pairs of primes whose difference is at most 70,000,000. Zhang used sophisticated methods involving very fine exponential sum estimates to improve upon the Bombieri-Vinogradov theorem in the case of smooth moduli. Later that year, in November, Maynard and Tao developed (independently) a multi-dimensional sieve that enabled one to show that there are infinitely many pairs of primes whose difference is at most 600. In this talk, we will give a brief introduction to the Maynard-Tao sieve, and its origin as a Selberg sieve.
MC 5479
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.