(Just a very rough attempt to provide some organization.)

Below is a listing of some random notes that I don't mind making available for public consumption, in reverse chronological order.

There is a search box with a very rudimentary search function (exact phrase matching only).

Title Venue/Year Keywords Link
Compactness and Non-compactness MTH849 (2022) PDE, analysis, concentration compactness, Sobolev embedding PDF
Derivatives: a geometric supplement (2015) differential geometry, connection, bundles PDF
Approximating Continuous Functions (2013) Weierstrass approximation, Runge's Phenomenon, Bernstein polynomial PDF
Lecture Notes on Sobolev Spaces CCA (2011) PDE, analysis, Sobolev spaces PDF
How to derive the Kerr metric by cheating quite a bit MAT 451 (2009) General relativity, Kerr PDF