There are a number of projects I've started, and a few that are close to being finished. These are the current projects:
Plasma is an advanced math plotting program. It is open source, and includes a variety of advanced plotting features. It is nicer to plot with than many of the plotting programs I've tried.
My Website is used to help organize and showcase my projects, ideas, and memories. Currently I'm far behind in development, and have much to add when I have time. I also have some other organizational projects, such as a todo list program.
Another project that I'm working on is an automated theorem prover. In high school, I thought that many of the proofs found in mathematics could be generated automatically by a computer program. As I advance further in my mathematical learning, I still see that it could all be automated. Mathematics is automated by computer algebra systems at the lower levels, but there is no centralized advanced mathematics system capable of all of mathematics.
I have many smaller projects that can be best classified as "technogeekistry". I made a program on my TI-89 that would pause what is happening and enter a scientific calculator mode. After performing calculations, you could then exit it and continue what you were doing beforehand. This was useful on tests where you might be performing a time consuming calculation you didn't want to cancel. Further technogeekistries include a TI-89 keyboard adapter, a few AIM clients and bots, a chess engine, a Yahoo chess bot, webcam programming, and others.