Welcome to My Portfolio
Vortex
A WIP 3D ECS physics engine.
2D Black Hole Simulation
2D simulation of light paths bending around a massive object according to Einstein's theory of general relativity.
Schelling's Segregation Model
Spatial simulation where agents of binary group membership relocate based on neighborhood similarity thresholds, demonstrating emergent segregation from local preferences. Extended to continuous 2D group membership space using Euclidean distance metrics instead of binary/discrete group membership.
Lotka-Volterra Model
Coupled nonlinear ODEs modeling predator-prey population oscillations. Extended with logistic prey growth, Holling Type II functional response, time-delayed dynamics, and seasonal forcing to address unrealistic exponential growth and linear predation assumptions.
GBM Stock Simulation
GBM stochastic process simulation to model asset price paths with log-normal returns. Extended to Merton Jump Diffusion adding Poisson-distributed discontinuities with normally-distributed jump sizes.
Wave Packet Scattering Through Lattice
GBM stochastic process simulation to model asset price paths with log-normal returns. Extended to Merton Jump Diffusion adding Poisson-distributed discontinuities with normally-distributed jump sizes.