Here are some miscellaneous expository notes I've written. Watch out for errors, and please let me know if you find any!

• Scheme theory

• A homological algebra primer

• Lie groups and Lie algebras

• Structure theory of Lie algebras

• Representation theory of finite groups

• Representation theory of GL_2(F_q)

• Serre duality on curves

• Higher categories for engineers

• Some examples of the Riemann-Hilbert correspondence

• Geometric representation theory of SL_2(R)

• Semi-infinite linear algebra