Sometimes I prepare my expository notes in LaTeX, in those cases the notes will be given only in PDF format. Posts in this tag have the main content in a linked PDF file.

Expository article on the geometric notion of derivatives.

Lecture slides that Gustav Holzegel and I used for the January 13-14, 2014 OXPDE Workshop at Oxford University.

Expository note on the Runge phenomenon

Lecture notes introducing Sobolev spaces.

My PhD Thesis on characterization and conditional uniqueness of the Kerr-Newman solution in general relativity.

Lecture notes on a fake derivation of the Kerr metric from the Schwarzschild metric, based on lots of hindsight.