Blog: The Home Paige
Math Coursework Only: Listing
The Archive: All Projects Here
Curriculum Vitae: CV
(Last Updated: November 11, 2023)
Email: paigeb@mit.edu
About Me
My name is Paige Bright (occassionally seen as Paige Dote), I use she/her pronouns, and I am a senior at MIT
studying Course 18: Mathematics.
I am interested in analysis, and more specifically, harmonic analysis, projection theory, and geometric measure
theory.
For the past three years, I have been conducting research under graduate students of Larry Guth,
including Yuqiu Fu, Shengwen Gan, and Alex Ortiz. Within mathematics, I am interested in how problems
from discrete geometry generalize to the continuum setting using tools such as Hausdorff dimension and Fourier
analysis.
I am also deeply passionate about education, writing, and research.
For more information regarding the mathematics coursework I have taken or the projects I have been working on,
please see the links at the top of the page.
Publications and Preprints
Geometric Measure Theory and Fourier Analysis
 A study guide to "Kaufman and Falconer estimates for radial projections", with Ryan Bushling, Caleb Marshall, and Alex Ortiz
 Exceptional set estimates in finite fields, with Shengwen
Gan
 Exceptional set estimates for radial projections in
\(\mathbb{R}^n\), with Shengwen Gan
Combinatorics
 On a radial projection conjecture in \(\mathbb{F}_q^d\),
with Ben Lund and Thang Pham
 Generalized point configurations in \(\mathbb{F}_q^d\),
with X. Fang, B. Heritage, A. Iosevich, T. Jiang, H. Parshall, M. Sun
 Improved bounds for embedding certain configurations in subsets
of vector spaces over finite fields, with X. Fang, B. Heritage, A. Iosevich, M. Sun
Mathematics Education and Pedagogy
 "18.S096: Matrix Calculus" (Draft) Lecture Notes , taught by Profs. Alan Edelman and Steven G. Johnson
 "18.S190:
Introduction to Metric Spaces", taught IAP 2022 and 2023

"Communication is the Whole Game", Chalk Radio interview with Prof. Haynes Miller
 "18.100A: Real Analysis" Lecture
Notes, taught by Prof. Casey Rodriguez
 "When Students Create OER...", with Ashay
Athalye, Sarah Hansen, and Curt Newton
Talks and Presentations
 TBD: Harmonic Analysis People's Presentations on YouTube's (HAPPY's) "Hello, World!" series: TBA
 1/4/24: JMM: AWM Special Session on "Recent Developments in Harmonic Analysis"
 1/3/24: JMM: AMS Special Session on "Harmonic Analysis, Geometric Measure Theory, and Fractals"
 11/28/23 and 12/5/23: Graduate Lecture Series in Analysis and PDEs
at Brown
 11/21/23: Online Undergraduate Research Seminar at UNC with Alex Ortiz
 5/11/23: MIT International Women in Math Day
 11/1/22: MIT Undergraduate Mathematics Association
 "Topics in Orthogonal Projections in Euclidean Space"
Last updated: November 9, 2023