Research
2025: Social Distancing SIR Model
The academic setbacks my peers faced during the COVID-19 pandemic inspired me to investigate the mechanics of disease. In 2024, I used my skills in mathematics and programming to develop a custom SIR (susceptible, infected, recovered) model which incorporated the effects of social distancing to analyze its efficacy as a preventative measure.
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After months of researching and developing my model, I presented my findings at several levels of competition. My model earned 2nd place at the Florida State Science and Engineering Fair (FSEF) and was recognized as one of the top 300 projects in the nation by the Society for Science's Thermo Fisher Junior Innovator Challenge.
Current Research: Dynamical Systems​
My previous research in mathematical modeling of phenomena in the real world inspired me to further pursue the field. I am now conducting research with Dr. Mireles-James at Florida Atlantic University in dynamical systems. Under his mentorship, I created Taylor integrators, applied the parameterization to numerically compute invariant manifolds, performed bifurcation analysis, and completed other projects in computational dynamical systems. Currently, I am applying Birkhoff Normal forms to analyze local behavior around elliptic equilibrium in Hamiltonian Systems, such as the Henon-Heiles system.
Final Research Products (Click to View)
Social Distancing SIR Model Board
Numerically Computing Invariant Manifolds using the Parameterization Method
