Speaker: Dr. Alan Chang
Title: “Projections of random Cantor sets”

Abstract: The four-corner Cantor set is a planar analogue of the classical Cantor set and arises in several areas of analysis, including the study of Kakeya sets and removable singularities for analytic functions. A central problem is to understand how this set behaves when projected onto lines. This turns out to be a very difficult question, so we study a random variant of the Cantor set, where we are able to obtain sharp estimates. This is joint work with Pablo Shmerkin and Ville Suomala.

The KSU Mathematics Colloquium is a seminar series that brings in researchers from other universities to present results on all areas of Mathematics. The talks are targeted at general audiences of students and professors.