Research

California State University Monterey Bay, March – May 2023

CURE Project – Undergraduate Mathematics Research

Led a CURE project focused on Young L-shaped tableaux, where I collaborated with a small research team to develop a set of combinatorial rules and guiding principles. The project involved reviewing academic literature, analyzing patterns, and formulating new conjectures around tableau structures. Through our efforts, we successfully discovered an equation that aligned with our visual models and theoretical framework.

Young tableau diagram

UC Santa Cruz – Upcoming / In Progress

Future Research Interest – The Usher Tree

I am currently exploring potential research around the Usher Tree, a novel data structure designed to efficiently model hierarchical permissions or evolving states. My interest lies in how this structure can be applied to version control, operating systems, and secure access trees in distributed systems. This research is in early stages, but I am actively sketching out formal properties and applications.

UShER project logo