MATH SEMINAR: Structure vs Randomness in Arithmetic
Guest: Hamed Mousavi
Title: Structure vs Randomness in Arithmetic.
Date / Time: 26, March Thursday, 12:40
Location: https://
Abstract: In this talk I will give a broad overview of my research through the theme of structure versus randomness in arithmetic. A motivating question is how to think about the primes: although defined by multiplicative rules, they often behave in ways that resemble random objects when viewed additively. I will describe several projects related to this perspective, drawing on work in ergodic theory and additive combinatorics. The aim of the talk is to highlight the main ideas and motivations behind these problems, and how they contribute to our understanding of patterns in the primes.
Bio:Dr. Mousavi received his MSc from Sabancı University and my PhD from Georgia Institute of Technology under the supervision of Professor Ernie Croot. He has since held postdoctoral positions at King’s College London and the University of Bristol. His research lies at the interface of analytic number theory, ergodic theory, discrete harmonic analysis, and additive combinatorics.