Featured Projects
A collection of my work applying pure mathematics and computing to solve real-world problems.
Distributed Scraping & Telemetry System
Fault-tolerant data ingestion architecture using rotating mirrors. Features a real-time telemetry module for monitoring throughput, latency, and node health (33k+ daily records with 99.9% uptime).
Topology of Political Discourse (NLP + TDA)
Research on semantic ruptures in social media. Applies Persistent Homology on tweet vector embeddings to model topological changes in public opinion networks during critical events.
Stability in Dense Graph Limits
Mathematical research on the asymptotic convergence of persistence diagrams in Graphons and Complexons. Aims to prove topological stability under the cut norm in stochastic processes.
NoSQL Pipeline: Ingestion & Analytics
Implementation of a full ETL workflow: Public API consumption, raw data storage in MongoDB, and statistical processing (EDA) to uncover correlations in semi-structured data.
Didactic Visualization: TDA & Graphons
Computational notebook designed for academic dissemination. Interactively illustrates the theoretical connection between topological invariants and the limit of dense graphs.