Notebook

Essays

Short writing and reading notes

A concise home for unfinished mathematical writing and reading notes.

Popular exposition · Probability

Self-Avoiding Walks: Geometry, Polymers, and Criticality

How one local prohibition connects polymer geometry, combinatorial growth, critical exponents, and SLE.

self-avoiding walk polymers random geometry Read essay Popular exposition · Statistical mechanics

From Plus and Minus Signs to Phase Transitions: A Century of the Ising Model

How a two-state lattice model connects magnetism, critical phenomena, conformal invariance, and long-range interactions.

Ising model phase transition long-range Read essay Mathematical Notes

Measure Theory Notes

Self-compiled notes, currently in progress.

measure theory PDF in progress Open notes