Undergraduate group research (REU) to prove the existence & uniqueness of weak & strong solutions to a proprietary shell model of turbulence. Work builds on the Sabra model proposed by L’vov et. al in 1998 by by extending local triadic shell interactions to variably-spaced, nonlocal couplings that more accurately capture the energy cascade of turbulent flows

Presented at JMM 2026 in Washington DC

REU Advisors Prof. V. Martinez, Hunter College & Prof. C. Victor, Texas A&M

Developed reduced ODE formulations for three mechanisms of electrochemical decay in lithium-ion batteries (LIBs) by synthesizing pre-established chemical theory and rigorously justifying simplifications. Used these ODEs as channels for a physics-informed neural network that sucessfully decomposes the capacity fade of LIBs into per-processes diagnostics in order to improve the interpretability of systems' health and extend usable lifetimes

Terra NYC STEM Fair 2026 - 1st Place, Engineering

Independent neuroscience research to build proprietary stochastic gradient descent algorithm to estimate the parameters of Fitzhugh-Nagumo system of ODEs. My favorite part of this project was deriving the bounds on the parameter space, as it was both challenging but necessary in order for the model to run within reasonable time and memory constraints

Terra NYC STEM Fair 2025 - 2nd Place, Computational Biology

A study of the geometry of light, action, and motion, and a mathematical derivation of the Hamiltonian as the generator of a system’s evolution through time

Published in Radicals Magazine, Hunter College High School

An exploration of the pursuit of fair outcomes in common systems of voting, and a mathematical proof for the impossibility of perfect democracy

Published in Radicals Magazine, Hunter College High School

History, framework, and proprietary proof of how RSA encryption works; as well as the threat posed by quantum computing

Published in Radicals Magazine, Hunter College High School