Independent research on the Collatz conjecture using computational approaches and mathematical analysis. Exploring patterns and potential proofs through algorithmic verification.
Investigating the relationship between reversible computation and computational complexity theory, particularly focusing on the P vs NP problem.
Contributing to research and development of miniaturized retinal imaging devices, combining optics, physics, and artificial intelligence.
A comprehensive analysis of computational methods for investigating the Collatz conjecture, including new algorithmic approaches and statistical analysis of sequence behaviors.
Status: In preparation
Design and implementation of reversible logic circuits with applications to cryptography, focusing on SHA-256 and other hash functions.
Status: Research phase
Exploring the connections between information theory and computational complexity, with particular focus on the P vs NP problem and reversible computation.
Status: Conceptual development
I am always interested in collaborating on research projects related to theoretical physics, mathematics, and computer science. If you have similar research interests or would like to discuss potential collaborations, please feel free to reach out.