Restriction Estimates and Applications to Number Theory

Speaker：Yuchen Sun (University of Bristol)

Time：2026-9-1 10:30

Location：Conference Room S106 at Experiment Building at Haiyun Campus

Abstract:

In this talk, I will introduce restriction estimates and discuss their applications to additive problems in number theory. I will focus on two examples. The first concerns a quadratic Waring–Goldbach problem with variables restricted to short intervals, based on joint work with Lilu Zhao. The second concerns a version of Vinogradov’s theorem involving Piatetski–Shapiro primes, based on joint work with Shanshan Du and Hao Pan.