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.
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.
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.