I am taking an undergraduate course in Algebraic Geometry this semester. It is my "Capstone" class, which is a final course in my Mathematics degree. Anyways, we are required to select a topic and write a paper on it. I have never wrote a paper in a Mathematics course and my professor hasn't told us how long it has to be, or anything like that. I just need to pick a topic right now. If anyone could help me out by picking a few topics, I would really appreciate it. Any ideas would be awesome!