Projects
Below are selected projects highlighting my background in applied mathematics, stochastic modeling, and numerical methods. Each project card includes a brief description and a link to my GitHub profile.
Moment Closure Techniques for the Stochastic Lotka–Volterra Model
Type: Master’s Thesis (August 2017 – June 2018)
Applied the probability generating function to develop a stochastic version of the classical Lotka–Volterra predator–prey model. Explored the use of moment closure under multivariate normal and multivariate log-normal assumptions to approximate the system's behavior.
The Minimum Distance Between Two Orbits
Type: Graduate Project (September 2017 – November 2017)
Studied the relationship between two planetary orbits using the Sun as a focal point. Implemented the method of Steepest Descent to approximate the minimum distance between the two orbital paths and analyzed the resulting geometry.