Research Focus
My work investigates efficiency gains beyond conventional asymptotic analysis, specifically at the intersection of Number Theory, Chaos Theory and Computer Architecture. I develop algorithms that exploit low-level computational structures to maximize ALU throughput.
Core Philosophy
"Saving the planet one optimization at a time"
01. Theoretical Foundations
- ▹ Optimizing exponentiation via Binomial Convolutions.
- ▹ Deterministic sequence generation using Inverse Dyadic Maps.
- ▹ Complexity analysis in Lattice-based Cryptography.
02. Systems Architecture
- ▹ Optimization keeping hardware in mind.
- ▹ Scalable, resilient cloud architecting on AWS.
- ▹ High-performance implementations in Haskell, Python, & C.
Literature & Projects
Master's Research
Exponents as Linear Combinations
Novel methods for exponential evaluation using binomial convolutions and inverse dyadic mapping.
Number Theory
Haskell
Systems Design
Enterprise Cloud Migration
Architecting low-latency, high-availability AWS migrations for legacy enterprise web/file clusters.
AWS SAA-C03
Infrastructure
Probabilistic Systems
Bloom Filters Investigation
Deep dive into the complexity, implementation, and false-positive optimization of probabilistic structures.
Data Structures
Algorithms
Graphics & Optimization
3D Bin Packing Visualization
Greedy 3D packing algorithm with Three.js rendering for warehouse logistics optimization.
Three.js
Greedy Algorithms
Aptitude & Tooling
LANGUAGES
C/C++, Haskell, JS, Python, SQL, Java, PHP
INFRASTRUCTURE
AWS (SAA), Linux, Git, SSH, Azure
THEORY
Lattice-based Crypto, Fourier Analysis, Complexity, Number Theory
TOOLS
Tailwind, Three.js, MongoDB, Matlab, Bootstrap