Blog
Personal notes, explanatory posts, and research-adjacent articles: partly a place to clean up old notebooks and partly a place to write through ideas in a more informal voice. The computational notebooks and reproducible examples that support these posts can be found separately on the Code & Notebooks page. This page is a work in progress, and I will add more content here as it becomes ready for sharing. You can also see what I plan to add, and the status of each item.
A written introduction to synchronization, phase oscillators, the Kuramoto transition, and extensions to structured network topologies through the Watts-Strogatz small-world model.
A post on small-world networks, clustering, path lengths, and how the Watts-Strogatz interpolation makes network structure visible in simple numerical experiments.
A visual and conceptual post on cellular automata, local update rules, emergent patterns, and the Game of Life as a compact example of complex behavior from simple dynamics.
An informal explanation of why tensor-network ideas can be useful beyond many-body wave functions, with examples for single-particle tight-binding Hamiltonians and large matrix problems.
A gentle introduction to Hamiltonian learning: generate spectra or observables from a simple fermionic chain, train a small model to infer parameters, and explain where the inverse problem becomes scientifically useful.