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Blog: The Home Paige
Math Coursework Only: Listing
The Archive: All Projects Here
Curriculum Vitae: CV (Last Updated: January 2, 2025)
Email: paigeb@mit.edu

About Me

My name is Paige Bright and I use she/her pronouns. I completed my undergraduate studies at MIT majoring in Course 18: Mathematics in Spring 2024, and am now a masters student studying mathematics under Izabella Łaba, Pablo Shmerkin, and Josh Zahl. Next, I will return to MIT to pursue my Ph.D under Larry Guth. I'm interested in analysis, and more specifically, harmonic analysis, projection theory, and geometric measure theory.

As an undergraduate, I conducted research under graduate students of Larry Guth, including Yuqiu Fu, Shengwen Gan, Alex Ortiz, and Dima Zakharov. 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 (and vice versa). I am also deeply passionate about education, writing, communication, and collaboration.

My Erdős 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.

click on the titles to see short explanations

Publications and Preprints

Geometric Measure Theory and Fourier Analysis

  1. Spread Furstenberg Sets, with Manik Dhar
  2. Pinned Dot Product Set Estimates, with Caleb Marshall and Steven Senger
  3. A continuum Erdős-Beck theorem, with Caleb Marshall
  4. Radial projections in Rn revisited, with Yuqiu Fu and Kevin Ren [arXiv:2406.09707]
  5. A study guide to "Kaufman and Falconer estimates for radial projections", with Ryan Bushling, Caleb Marshall, and Alex Ortiz [arXiv:2402.11847]
  6. Exceptional set estimates in finite fields, with Shengwen Gan [arXiv:2302.13193]
  7. Exceptional set estimates for radial projections in Rn, with Shengwen Gan. Annales Fennici Mathematici, 49(2), 631-661, 2024.

Combinatorics

  1. On a radial projection conjecture in Fqd, with Ben Lund and Thang Pham [arXiv:2311.05127]
  2. Generalized point confiruations in Fqd, with X. Fang, B. Heritage, A. Iosevich, T. Jiang, H. Parshall, M. Sun. Finite Fields and Their Applications, 99, 102472, 2024.
  3. Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields, with X. Fang, B. Heritage, A. Iosevich, M. Sun [arXiv:2308.09215]

Mathematics Education and Pedagogy

  1. "18.S063: Matrix Calculus" 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 [Podcast]
  4. "18.100A: Real Analysis" Lecture Notes, taught by Prof. Casey Rodriguez [OCW Course]
  5. "When Students Create OER...", with Ashay Athalye, Sarah Hansen, and Curt Newton [YouTube Video]

Upcoming

Conferences, Talks, and Presentations


Last updated: March 12, 2025