Expository
Affine Group Schemes.
Expository notes from an exploratory project for Math 632 on how groups, subgroups, actions, stabilizers, and quotients are translated into algebraic geometry, especially in the affine case. [pdf]Introduction to (topological) K-Theory and Vector Bundles.
Slides and an explainer video from Math 696 on topological K-theory and vector bundles, made for students taking the first-year algebraic topology course; other student videos can be found here. [slides] [video]Commutative Algebra toward Algebraic Geometry.
Reading notes in preparation.Abelian Categories and Homological Algebra.
Slides from a Michigan Math Directed Reading Program talk on categorical basics of homological algebra. [pdf]Primes of the Form x² + ny² and Quadratic Forms.
Slides from a Michigan Math Directed Reading Program talk on primes, quadratic forms, and some class field theory. [pdf]Acoustic Imaging for SBC Dark Matter Detectors.
Poster for a colloquium presentation on acoustic event detection and nucleation imaging in bubble chamber dark matter experiments. [pdf]