May 14-17, 2025

Recent work on the zeroes of the Riemann zeta function

I will discuss my recent work with James Maynard estimating the number of zeroes of the zeta function in different regions.

The Riemann zeta function and the Riemann hypothesis

In Talk 1, we learned about some strange patterns in the prime numbers.  In this talk, we try to explain where these strange patterns come from.  This leads us to the Riemann zeta function.  
We also introduce an important open question called the Riemann hypothesis, and discuss how it relates to prime numbers and why it is hard to prove.

Lecture 1

Monday, March 10, in 148 Miller Learning Center

Prime numbers: probability, physics, and computation