Just a thought, but maybe you should have a look at sage. It's a big open source project that is currently under very active development. If you're interested in contributing, I would suggest that you post to the sage-devel Google group with this same question. Some thoughts for things to do would be to improve the support for relative extensions of number fields and for function fields.
Jon Yard
- 2k
- 1
- 16
- 21