Curriculum Vitae
Last updated: Feb 2026
Jonathan Davidson
| Email: jonathan.j.davidson@gmail.com |
| Website: jjdavidson.github.io |
Education
| Mathematics, M.S. | Cal State LA | Dec 2025 |
| Mathematics, B.S. | Stanford University | Jun 2020 |
Research Interests
Continuum limits of combinatorial objects and large networks; applications of analytic methods to combinatorial optimization.
Publications (In Preparation)
Davidson, J.; O’Neill, J.; Ruiz-Navarro, G. Monochromatic Rectangles in Grids.
Ahmed, F.; Asraf, D.; Bonds, D.; Davidson, J.; Jang, Y.; Krebs, M.; Prakash, A.; Yak-De Padua, E. Chromatic numbers of circulants with indispensable generators.
Research Experience
| Master’s Research in Combinatorics | Cal State LA | Jan 2024 – Present |
- Investigated matrix methods for studying Abelian Cayley graphs under the direction of Professor Mike Krebs.
- Investigated problems in extremal combinatorics and hypergraphs under the direction of Professor Jason O’Neill.
- Topics: Union-Closed Conjecture, Erdős Box Problem, Odd Town Problem, and hypercube extremal problems.
| UCLA–CSU Summer Bridge Program | University of California, Los Angeles | Summer 2025 |
- Five-week intensive program studying advanced topics in Real Analysis, Linear Algebra, Bayesian Inference, Algebraic Geometry, and Representation Theory.
| Stanford University Research in Mathematics (SURIM) | Stanford University | Summer 2016 |
- Researched equilibrium capillary surfaces with Professor Emeritus Robert Finn.
Teaching Experience
| Teaching Associate | California State University, Los Angeles | Aug 2024 – Dec 2025 |
- Teach Math 1081 (Pre-Calculus) and Math 1085 (Discrete Mathematical Models).
| Mathematics Tutor | CSULA Math Gym, Los Angeles, CA | Aug 2024 – Dec 2025 |
- Tutor Pre-Calculus and Calculus to support first-year students.
| SAT/AP Test Prep Instructor | Elite Prep, Arcadia, CA | Dec 2021 – Present |
- Develop and teach curriculum for SAT, AP Calculus, AP Physics, and AP Chemistry.
Research Talks
| Resolvable Designs and the Erdős Box Problem |
- USC Combinatorics Seminar | University of Southern California | Nov 18, 2024
- Graduate Students Combinatorics Conference (GSCC) | University of Southern California | Mar 15, 2025
- SoCal Discrete Mathematics Symposium | University of California, Irvine | Apr 6, 2025
Outreach & Expository Talks
| PCC π Day | Pasadena Community College | Mar 2024, 2025, 2026 |
| Probability Games and π | PCC STEM Saturday | Pasadena Community College | Apr 27, 2024 |
| Dice Games and the Central Limit Theorem | AVID STEM Outreach | Cal State LA | Mar 4, 2024 |
Awards and Honors
| NSS Outstanding Graduate Student Award | Cal State LA | Nov 2025 |
| Outstanding Presentation in Physical and Mathematical Sciences | Cal State LA | Feb 2025 |
| Phi Kappa Phi Honor Society | Jul 2025 |