This is a repository of notes I’ve made that people might find useful. Nothing here is original – I have tried as much as possible to give due references. Comments are welcomed.

**Motivic/Étale Homotopy Theory**

- On Po Hu’s Exotic Picard Element in Motivic Homotopy.
- Some notes on the Milnor Conjectures via Cobordism.
- Friedlander’s Proof of the Adams Conjecture.
- Morel’s Stable Connectivity Theorem.

**Algebraic Topology**

**Algebraic Geometry**

- Basics of étale cohomology.
- On the degree-genus without cohomology.
- Zariski’s main theorem.
- Bezout’s theorem on curves.
- Morphisms and generic point.

**Higher Category Theory**