On the intersection of number theory and computation
I work at the intersection of mathematical structure and computation.
My interests include number theory, numerical methods, and the design of efficient algorithms for mathematically structured problems. I focus on translating theoretical insight into precise, efficient, and computationally elegant implementations.
- Algorithmic Number Theory
- Numerical Methods & High-Precision Computation
- Structure-driven Algorithm Design
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Catalan π Algorithm
A novel computational framework for approximating π based on Catalan number structures, emphasizing deterministic convergence and fixed-point arithmetic efficiency. -
Almost Isosceles Pythagorean Triples Optimizer
An optimized recurrence-based method for generating structured Diophantine triples with near-isosceles properties. -
Complex Calculator
Implementation of complex arithmetic systems in C++ and Python with a focus on precision and usability. -
Interactive Matrix Calculator
Computational tool for matrix operations with an emphasis on clarity and algorithmic correctness. -
LlamaInteract
Local large language model interaction system built using llama.cpp for efficient on-device inference. -
Winternship 2025 Case Studies
Full MERN stack training — TypeScript, React (Vite), MongoDB (ACID transactions), and Express.js REST APIs with MVC architecture.
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Calculating π with Catalan Numbers
An exposition of a Catalan-number-based approach to π computation and its numerical properties. -
The Golden Ratio
A study of the mathematical structure and significance of φ across different domains. -
History of Cryptography
A historical and conceptual overview of cryptographic systems and their evolution.
- Languages: C++, Python, Java, TypeScript, JavaScript
- Web & Backend: React (Vite), Node.js, Express.js, MongoDB
- AI / ML: NumPy, Pandas, scikit-learn, Gemini Pro Vision, DALL-E 3, llama.cpp
- Systems: Linux, Git
- Editor: VS Code
- 🌐 GitHub