Terence L. J. Harris

activity

20232025

collaborators

5 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

Exceptional sets for length under restricted families of projections onto lines in $R^{3}$

Terence L. J. Harris

It is shown that if $A \subseteq R^{3}$ is a Borel set of Hausdorff dimension $dim A > 1$ , and if $ρ_{θ}$ is orthogonal projection to the line spanned by $( \cos θ, \sin θ, 1 )…

math.CA2024

Packing dimension of vertical projections in the Heisenberg group

Terence L. J. Harris

It is shown that if $A$ is a Borel subset of the first Heisenberg group, with Hausdorff dimension satisfying $2 < dim A < 3$ , then the packing dimensions of vertical projections of…

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…

math.CA2023

An $L^{4/3}$ $S L_{2}$ Kakeya maximal inequality

Terence L. J. Harris

It is shown that $S L_{2}$ Besicovitch sets of measure zero exist in $R^{3}$ . The proof is constructive and uses point-line duality analogously to Kahane's construction of meas…

Incidence bounds related to circular Furstenberg sets

Exceptional sets for length under restricted families of projections onto lines in R3

Packing dimension of vertical projections in the Heisenberg group

A Study Guide for "A Restriction Estimate using Polynomial Partitioning"

An L4/3 SL2​ Kakeya maximal inequality

Exceptional sets for length under restricted families of projections onto lines in $R^{3}$

An $L^{4/3}$ $S L_{2}$ Kakeya maximal inequality