A formal solution to Problem A1 from the 2025 Putnam Mathematical Competition.

Explaining spin representation as it relates to quantum mechanics.

Discussing my experience with AI as it has shaped my development as a programmer.

Derivation, overview, and guide to producing pair correlation functions from spatial data.

How to play Nim perfectly, an introduction to proofs in combinatorial games.

Green's function is the impulse response, or fundamental solution of an inhomogeneous linear differential equation, and can help solve a variety of problems within physics. I derive and cover some of cases within electrostatics.

A couple of undergraduate friends and I sent up a weather balloon to collect telemetry and footage of the total solar eclipse within the path of totality.