Why don't you knock on the door of a couple of algebra professors and ask them what they think? This is probably a good thing to do anyway, since you will need references when you apply to grad school and this is one way to get a professor to get to know you.

Don't be embarrassed - they will probably be glad to hear that someone is interested in their research. If they aren't (and there are some like that) then I would bet they are the kind that don't pay enough attention to their students to tell them apart so it really won't matter anyway.

I really can't believe what that first guy said in his comment. Just because you haven't done much math before doesn't mean you're not good at it. And this whole "you have to be a genius to contribute to math research" idea is complete crap anyway. I think the people who perpetuate this myth are just arrogant guys who think they are geniuses but really aren't.

I would say it in stronger language but I don't know if that's allowed :). Good luck.