Exposition

Here are notes that I've taken that might be useful to someone at some point (forgive me in advance for the errors). All images were taken from a Google search.

These are notes on contact homology that go through the construction of the chain complex and possible fixes to transversality issues.

These are notes based on a mini-course at the University of Barcelona on h-principles (wrinkling).

These are introductory notes on algebraic topology that go through basic spectral sequence computations among other things.

These are course notes for an introductory class on Riemannian geometry that start at the classical theory and end at the comparison theorems.