# Julian Sahasrabudhe (University of Cambridge)

Date

Friday October 8, 20212:30 pm - 3:30 pm

Location

Online via Zoom## Math & Stats Department Colloquium

**Friday, October 8th, 2021**

**Time:** 2:30 p.m. **Place:** Online (via Zoom)

**Speaker:** Julian Sahasrabudhe (University of Cambridge)

**Title:** Probabilistic combinatorics at exponentially small scales

**Abstract:** In this talk I will discuss a set of tools that has recently been developed to think about events of extremely small probability in finite probability spaces. I try to will weave together how this sort of thinking was used to solve two longstanding problems in two different fields: an old problem of Littlewood in harmonic analysis, and an exponential bound on the singularity probability of a random symmetric matrix.

**Julian Sahasrabudhe** is a university lecturer (assistant professor in the Canadian system) in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. He was a Junior Research Fellow at Peterhouse, University of Cambridge from 2017 to 2021. He got his Ph.D. in Mathematics at the University of Memphis in 2017. He is interested in extremal and probabilistic combinatorics, and intersections with probability, analysis and combinatorial number theory. Most recently, he has been interested in random polynomials and random matrices. He was awarded the European Prize in Combinatorics in 2021.