Discrete geometry and geometric measure theory
Supervisor: Misha Rudnev
Theme: Number Theory
This research project lies at the interface of harmonic analysis, geometric combinatorics, geometric measure theory and analytic number theory. There are a number of fundamental questions arising at the crossroads of these areas of mathematics. One of these is the so called Erdos/Falconer distance problem, which asks (in a variety of settings) for the smallest number
of distances determined by subsets of the Euclidean space.