When I was shopping for graduate schools, I was very interested in a particular subdiscipline of mathematical logic. I got into a pretty good state school, but now that I've been here for two years, I am no longer sure that I want to do research in that field anymore. I still think it's cool- I could fuss with it all day, and I'm sure I could write a thesis on it- but I have lost faith that it is useful. I want to do something that is good for society, and this is decidedly too pure.
We don't have to pick an advisor until the end of this year. I've looked around, but all the professors seem to be working on very narrow problems that don't interest me. What I would really like to do is integrate computer science into my work, since programming has always been one of my most enjoyed hobbies, and since it plays well with logic in general. But nobody is doing that here. Unfortunately, due to family issues, transferring is out of the question.
How does one go about making his research interdisciplinary when he is not in an interdisciplinary program?
Is it a bad idea to just pick an advisor that I get along with, even if his research is not directly applicable to mine, and try to carve my own path? What can I do to make this approach successful?