Below are series of typset notes that I am making publically available. They are in the form of \LaTeX PDFs or beamer slides. Descriptions are provided above the links. Any and all comments/criticisms are appreciated, and the best way to contact me is through my contact page.

Quantum Groups Booklet

This is a booklet of typeset lecture notes for a topics in algebra class on quantum groups B. Brubaker taught during the fall 2020 semester. It assumes no background with quantum groups, strong knowledge of abstract and linear algebra, and some familiarity with representation theory (in particular highest weight theory). The booklet itself can serve as a first course in quantum groups.

Notre Dame RTG Topology & Geometry: Closed Geodesics

These are typeset notes of a talk I particularly enjoyed at the Notre Dame RTG topology & Geometry conference in 2019. The talk was delivered by gradaute student Gabor Székelyhidi on closed geodesics.

UMN REU 2020 Background Theory Notes and Exercises

These are my notes for the UMN REU in 2020. They include background theory, a series of short exercises, and thoughts about the problems. They are ongoing. I am currently pursuing research in lattice models and alcove walks.

Presentation Notes

This section houses my raw notes, scripts, and beamer slides for all the presentations and talks I have given.