2 papers
math.CA2025
Incidence bounds related to circular Furstenberg sets
John Green, Terence L. J. Harris, Yumeng Ou +2
We prove bounds on approximate incidences between families of circles and families of points in the plane. As a consequence, we prove a lower bound for the dimension of circular $(…
math.CA2024
A Study Guide for "A Restriction Estimate using Polynomial Partitioning"
John Green, Terry Harris, Kaiyi Huang +1
This manuscript is intended as an accompaniment to Guth's "A restriction estimate using polynomial partitioning". We begin by summarizing the core ideas of the proof, elaborating t…