Resources

Free educational materials from my courses, lectures, and public talks.

All resources are provided for educational and non-commercial use, © 2025 CC BY-NC-SA 4.0.

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Applied Representation Theory

Video Lectures

YouTube Playlist

Our ongoing series about how the Representation Theory of Lie algebras ties into Classical and Quantum Mechanics.

Watch on YouTube

The Lecture Notes

Updated October 2025 | Episodes 1 - 7 | PDF

Notes to accompany the videos. None should be considered final and each will be continuously updated as needed. At the end of the series we'll aggregate them into a single document.

Prerequisites: Linear algebra, basic abstract algebra, basic calculus and some exposure to quantum mechanics helpful but not required.

View Details & Download

Public Talks & Presentations

Echos of the Big Bang

Presented for the Methow Dark Skies Coalition | 2025-04-24 | Slides

What starlight can teach us about life, the universe and everything.

Download Slides (Coming Soon)

Is Gravity Broken?

Presented for Ryzo Wine's Science Night | 2025-06-18 | Slides

The Case for Dark Matter

Download Slides (Coming Soon)

Ping Pong Across the Event Horizon

Presented for Ryzo Wine's Science Night | 2025-07-30 | Slides

What Happens When You Fall into a Black Hole?

Download Slides (Coming Soon)

Looking for More?

Additional resources, problem sets, and supplementary materials are available to Substack subscribers. Video lectures corresponding to these notes are available on my YouTube channel.