Machine Learning Fundamentals
Sphere packing illustration showing Shannon's geometric interpretation of channel capacity

Communication in the Presence of Noise: Shannon's 1949 Paper

Shannon’s foundational 1949 paper establishing the mathematical framework for modern information theory, defining channel capacity as the fundamental limit for reliable communication over noisy channels and introducing the sampling theorem (Nyquist-Shannon) that underpins all digital signal processing.

Computational Biology
Protein folding energy landscape funnel showing high-energy unfolded states converging to the native state

How to Fold Graciously: The Levinthal Paradox

Levinthal’s 1969 perspective paper defined the protein folding paradox by demonstrating the impossibility of random search, establishing the need for kinetic pathways that guide folding faster than thermodynamic equilibration allows.

Computational Chemistry
Log-scale plot showing exponential growth of alkane isomer counts from C1 to C40

The Number of Isomeric Hydrocarbons of the Methane Series

A foundational 1931 paper that derives exact mathematical laws for counting alkane structural isomers through recursive formulas, correcting historical errors and establishing validated benchmark counts up to C₄₀.

Planetary Science
Magellan radar mosaic of Venus showing the northern hemisphere with volcanic plains, tesserae, and lava flows in orange-brown tones

The Surface of Venus: Stratigraphy and Resurfacing

Basilevsky and Head’s definitive synthesis reveals a planet that undergoes catastrophic global resurfacing events. We explore the “stagnant lid” model, the synchronous stratigraphy, and the divergence of Venus’s geological history from Earth’s.

Scientific Computing
Velocity Autocorrelation Function showing the signature negative region characteristic of liquid dynamics

Modernizing Rahman's 1964 Argon Simulation

I replicated Rahman’s landmark 1964 liquid argon molecular dynamics simulation using modern tools, building a production-grade Python analysis pipeline with intelligent caching, vectorization, and type safety to bridge vintage science with contemporary software engineering.

Computational Chemistry
Protein folding funnel diagram illustrating energy landscape

Umbrella Sampling: Monte Carlo Free-Energy Estimation

Torrie and Valleau’s 1977 methodological breakthrough introducing importance sampling with non-physical distributions to overcome the sampling gap problem in Monte Carlo free-energy calculations, particularly for rare events and phase transitions.

Computational Chemistry
Schematic showing atom-surface interaction using the method of images

Adsorption and Diffusion on Surfaces

Lennard-Jones’s landmark 1932 theoretical paper that applied quantum mechanical potential energy surfaces to gas-solid interactions, providing the first unified framework explaining both physisorption and chemisorption as different regions of the same energy landscape.

AI Fundamentals
Diagram illustrating knowledge-based agent architecture with knowledge base, reasoning, and action components

Foundations of AI: Knowledge-Based Agents and Logic

Explore the building blocks of classic AI reasoning, from knowledge bases and logic to how systems draw new conclusions from existing knowledge.