When:
Thursday, February 19, 2026
1:00 PM - 2:00 PM CT
Where: NITMB,
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Rachel Greenfeld
rgreenfeld@northwestern.edu
Group: Department of Mathematics: AACC
Category: Lectures & Meetings
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.