Projects
Exploring the intersection of physics, computation, and quantitative finance through hands-on projects.
Monte Carlo Methods & Stochastic Calculus
Implemented Monte Carlo simulations to solve deterministic problems, analyzing convergence rates ($1/\sqrt{N}$) against theoretical predictions.
Stochastic Process Modeling
Modeled rare-event probabilities using Binomial and Poisson distributions; performed statistical hypothesis testing using Gaussian approximations.
Numerical PDE Solver
Developed a numerical solver for Partial Differential Equations (PDEs) using the Relaxation Method on a 2D grid, applicable to option pricing models.
Time-Series & Spectral Analysis
Applied Fast Fourier Transform (FFT) to extract frequency components from noisy time-series data and modeled transient decay signals.
Business Intelligence & Analytics
Built an automated analytics module to parse transaction logs and visualize sales velocity for inventory optimization.
Divine Guidance (PWA)
A spiritual support application delivering personalized Bible verses and compassionate, AI-generated homilies to offer direction for specific life worries.
Automated Warehouse Inventory System (Capstone)
Architected a full-stack inventory management system using Python/Tkinter. Features event-driven GUI, USB hardware integration (barcode scanners), and persistent JSON database state management.
Systems Programming & Concurrency
Built a raw TCP server handling socket lifecycles, managed OS-level process forking ('Zombie Processes'), and implemented multi-threaded data visualization to separate UI rendering from I/O.
Data Engineering & Web Scraping
Demonstrated the full stack of data acquisition by implementing the same web scraper in three distinct layers: Bash Scripting (fast prototyping), Raw TCP Sockets (maximal control), and High-Level APIs (production standard).
Computer Graphics & Algorithms
Implemented low-level graphics algorithms (scan-line rasterization) and visualized complex mathematical systems (Mandelbrot Fractals) using optimized NumPy vectorization for high-performance computing.
Franck-Hertz Experiment
Experimental verification of the Bohr model and atomic quantization. Analyzed inelastic electron-atom collision data to calculate excitation energies.
Radioactive Decay Analysis
Modeled stochastic nuclear decay events using Poisson statistics and Geiger-Muller counters to precisely determine isotope half-lives.
Diffraction & Interference
Investigated wave-particle duality through single-slit diffraction and double-slit interference, verifying theoretical wave optics models with laser precision.
Speed of Sound Measurement
Determined the speed of sound in air using acoustic resonance in a variable-length column, analyzing harmonic standing waves.