Here are a collection of various mathematical notes that I have made for diverse reasons. They are at different stages of completeness, and I may at some point revise them further. I am posting them here in case they will be useful to people who come across this blog.
I gave this as a talk on elliptic curves in fall 2008 based on the conclusion of an independent study course on the arithmetic of elliptic curves.
I wrote this expository paper on integral equations in 2007 as part of a seminar course in linear algebra.
Here are some notes on group cohomology I wrote in spring 2009 as part of an independent study course. The main source was Serre’s Local Fields. Eventually I will post some of the other notes I took as well.