My research spans the intersection of Applied Mathematics, Computational Complexity, and Algorithm Design. With a PhD in Applied Mathematics and a PhD in Computer Science, my work focuses on mathematically rigorous algorithms, optimization techniques, distributed systems, and analytical models. Below are selected publications, thesis work, and external academic profiles.
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An in-depth analysis of computational complexity classes, exploring the boundaries between tractable (P) and intractable (NP-Hard) problems, with implications for modern algorithm design.
Download PaperA comprehensive exploration of computational theory, historical paradigms, and the mathematical foundations that govern modern computing systems and algorithmic limits.
Download PaperDoctoral thesis research focusing on Turing Machines, state transitions, and the fundamental limits of what can be computed algorithmically.
Download ThesisResearch on network protocols, specifically analyzing TCP congestion control algorithms, packet loss recovery, and optimization for high-latency distributed systems.
Download PaperImplementation and mathematical analysis of complex optimization problems including Sudoku solvers, the Eight Queens puzzle, and Knight's Tours using backtracking and heuristic algorithms.
View on ResearchGateResearch into decentralized systems, focusing on cryptographic verification mechanisms for Web3 domains and smart contract security architectures.
View on ResearchGateAdvanced research in compiler construction, detailing efficient data structures for symbol table implementation, lexical analysis, and syntax parsing optimization.
View on ResearchGateBridging advanced calculus, topology, and probability with computer science to design mathematically rigorous analytical models and optimization techniques.
View on AcademiaUpcoming Research: I am currently working on new publications regarding distributed systems architecture and advanced mathematical modeling for machine learning. New papers and algorithm implementations will be regularly updated on my ResearchGate and Academia profiles.