Projects
The Pasayten Institute creates and runs open-access projects in mathematics and physics - guides and lecture series that meet the public where they are, and research programs that push at the frontier. Each project below is a home for its explainers, lectures, papers, and talks. Some are well underway, others just getting started - each says where it stands. Longer-form essays and notes live in Writing.
The Field Guide to Particle Physics
The Institute's popular-science flagship - an informal, open-access field guide to the subatomic ecosystem, written for the curious with no physics background required. Every particle species: how they're made, how they decay, how they interact. Free to read online, and a book.
Explore the guide →Lectures
Learning GAP
A hands-on, type-it-yourself introduction to GAP - the computer algebra system for computational group theory. Part 1 builds from the language up to real group computations; later parts follow as they're ready.
Explore the lessons →Partition Functions
A lecture series on partition functions - the bridge between statistical mechanics, quantum field theory, and the counting problems that tie them together.
Explore the lectures →Conformal Field Theory & Vertex Operator Algebras
A lecture series on two-dimensional conformal field theory and the vertex operator algebras that formalize it - the symmetry, the algebra, and the bridge between physics and representation theory.
Explore the lectures →Research
Critical Scaling in Inflationary Dynamics
Research on the physics of the early universe - critical scaling in the inflationary epoch, its observable imprints, and the open questions it leaves behind.
About this program →Moonshine & Vertex Operator Algebras
Research at the crossroads of number theory, representation theory, and conformal field theory - moonshine phenomena and the vertex operator algebras that explain them.
About this program →