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.
My Erdös Number is 3.
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