Research

Papers

Synchronization Phenomena in Classical Factorization Algorithms on Structured Integers
2025. Sole author, written at the Pioneer Research Institute under Prof. Sandy Zabell of Northwestern University. Compares five classical factorization methods on families like Mersenne and Fermat numbers and proves why particular methods fail on particular inputs. Poster at the International Congress of Mathematicians 2026; accepted to MAA MathFest 2026. Preprint on Zenodo, code and data on GitHub. A companion article on how the mistakes and revisions shaped the paper, The Twin Fives That Pollard's Rho Can't Pull Apart, published in the Girls' Angle Bulletin, Aug./Sept. 2026.
Explaining the factorization poster at ICM 2026.
Explaining the factorization poster at ICM 2026.
Poster 96 at MAA MathFest, Boston, August 7, 2026.
Poster 96 at MAA MathFest, Boston, August 7, 2026.
Weights of Complete Nonambiguous Trees
2026. PROMYS. We plan to present it at the Joint Mathematics Meetings.
PROMYS 2026 research presentation, August 7, 2026. Mentor Paul Gunnells, counselor Taran Knutson.
PROMYS 2026 research presentation, August 7, 2026. Mentor Paul Gunnells, counselor Taran Knutson.
Let's Focus with AI
July 2026. Paul English Applied AI Institute Publications, UMass Boston. It describes FocusBerry, the classroom focus tracker I built with my team at AI in One Day.

Expository work

Curvature on Riemannian Manifolds and Jacobi Fields
2025. MIT PRIMES reading group, mentored by Alain Kangabire. Presented at the PRIMES Reading Groups miniconference, December 2025. Slides.
At the 2025 MIT PRIMES December conference.
At the 2025 MIT PRIMES December conference.
Pick's Formula and Euler's Theorem
2025. PROMYS. Slides.
After presenting Pick's Formula and Euler's Theorem at PROMYS, July 31, 2025.
After presenting Pick's Formula and Euler's Theorem at PROMYS, July 31, 2025.
The RSA Cryptosystem
2025. SUMaC, Stanford University Mathematics Camp, Program I.