Knowledge Nexus

Curated research tracks, active investigations, and key references.

βˆ‘ Mathematics

Exploring fundamental structures through topology, abstract algebra, and functional analysis. Current focus includes Lie groups and stochastic processes.

Topology Abstract Algebra Graph Theory Chaos Theory

βš› Physics

Investigating the nature of reality from quantum field theory to spacetime curvature. Deep dives into quantum computing and entanglement.

QFT Quantum Computing Relativity String Theory

πŸ“ Geometric Analysis

Intersection of differential geometry and partial differential equations. Studying minimal surfaces and Ricci curvature flows.

Minimal Surfaces Ricci Curvature Riemannian Metrics

🧬 Protein Generation

Computational biology focusing on AlphaFold applications and protein folding simulations. Designing novel amino acid sequences.

AlphaFold Molecular Dynamics Protein Folding

✨ Astrology

Analysis of celestial mechanics and symbolic systems. Studying planetary alignments, natal charts, and heliocentric models.

Planetary Alignments Natal Charts Ephemerides

πŸ› Architecture

Sustainable and parametric design principles. Exploring urban planning, biomimicry, and environmental psychology.

Parametric Design Urban Planning Bioclimatic

πŸ“Š Data Science

Advanced machine learning and statistical modeling. Neural networks, deep learning, and big data visualization techniques.

Machine Learning Neural Networks Deep Learning

πŸ“ˆ Economic Analysis

Macroeconomic systems and market efficiency theories. Fiscal policy, monetary theory, and behavioral economics.

Macroeconomics Fiscal Policy Game Theory
πŸ€– AI Context & Intent

This page standardizes the Human-AI interface for the PersonalOS ecosystem.

πŸ› οΈ Under the Hood: PersonalOS

Architecture
Monolith FastAPI + Jinja2 Templates. Served via Uvicorn.
Infrastructure
Hosted on Heroku/Render. PostgreSQL Database.