A selection of computational and research projects. Source code is available on GitHub where noted.

Active Projects

PINN Solver for the Nonlinear Schrödinger Equation

Implementing a physics-informed neural network in PyTorch that learns to solve the NLSE with minimal training data by incorporating the equation’s conservation laws as soft constraints in the loss function.

  • Stack: Python · PyTorch · NumPy · Matplotlib
  • Status: In progress
  • View on GitHub

Gradient Descent Visualizer

An interactive visualization of gradient descent on 2D loss surfaces, built to develop intuition for optimization in machine learning. Features adjustable learning rate, momentum, and several benchmark loss functions.

Soliton Stability Simulator

High-performance numerical simulation of optical soliton propagation and perturbation response using the split-step Fourier method in Julia.

  • Stack: Julia · DifferentialEquations.jl · Plots.jl
  • Status: In progress

Course & Learning Projects

  • Monte Carlo integration of multi-dimensional integrals in C++
  • RK4 ODE solver from scratch in Python with comparison to scipy.integrate
  • Jekyll academic blog — this website

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