Mason

about

I'm a sophomore during the 2026-27 school year, and I want to study physics and math. I learn best by turning a question into code, a plot, or a prototype.

what I'm working on

• Fibonacci residues modulo prime powers

  Independent computational replication. My Python computations match selected published Fibonacci benchmark values, then apply the same finite experiment to Lucas and Pell recurrences across 147 runs.

• Orbit Lab

  An AI-assisted Swift interface prototype exploring how Euler, velocity Verlet, and RK4 could be compared. No source, build, or completed numerical results are published here yet.

Still just a plan: Cast Flight Lab I want to compare ideal projectile motion with an effective quadratic-drag model for a hookless practice plug. This is setup only: no student-written protocol, pilot, data, model, or result exists yet.

independent computational replication

Fibonacci residues modulo prime powers

My completed study counts the residues reached by Fibonacci, Lucas, and Pell sequences modulo prime powers. I wrote and tested the code, reran all 147 finite computations, checked 78 small cases with a separate implementation, and compared selected outputs with published benchmarks.

away from the computer

When I'm not at my computer, I like fishing and being outside.