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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

  1. A study guide to "Kaufman and Falconer estimates for radial projections", with Ryan Bushling, Caleb Marshall, and Alex Ortiz
  2. Exceptional set estimates in finite fields, with Shengwen Gan
  3. Exceptional set estimates for radial projections in \(\mathbb{R}^n\), with Shengwen Gan

Combinatorics

  1. On a radial projection conjecture in \(\mathbb{F}_q^d\), with Ben Lund and Thang Pham
  2. Generalized point configurations in \(\mathbb{F}_q^d\), with X. Fang, B. Heritage, A. Iosevich, T. Jiang, H. Parshall, M. Sun
  3. 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

  1. "18.S096: Matrix Calculus" (Draft) Lecture Notes , taught by Profs. Alan Edelman and Steven G. Johnson
  2. "18.S190: Introduction to Metric Spaces", taught IAP 2022 and 2023
  3. "Communication is the Whole Game", Chalk Radio interview with Prof. Haynes Miller
  4. "18.100A: Real Analysis" Lecture Notes, taught by Prof. Casey Rodriguez
  5. "When Students Create OER...", with Ashay Athalye, Sarah Hansen, and Curt Newton

Talks and Presentations


Last updated: November 9, 2023