Dr Kyle Pratt
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
the central point
I work in the field of analytic number theory. My recent research has focused on prime numbers, L-functions, and Diophantine problems. You can find my papers here on the arXiv.
I have been a post-doctoral research fellow at All Souls College since October 2019. I earned my PhD in mathematics from the University of Illinois at Urbana-Champaign in May 2019.
From April-June 2022 I taught a TCC course "The Riemann zeta function: classical roots and modern approaches." Course materials are here.
The course covered some of the classical roots of the theory of the zeta function, but with an eye towards modern research (the sorts of things less likely to appear in textbooks).
Here are some of the things we looked at: basic theory, the prime number theorem, zero-density estimates and primes in short intervals, extreme values, Selberg's central limit theorem, the work of Soundararajan on conditionally bounding high moments, computational aspects of the zeta function.