I will be graduating with a degree in Math in one year, and I plan on pursuing a PhD. I want graduate schools to consider my final two semesters when looking at my application, so I've decided to take a year off. (I'd apply for a spring semester, but most of the top schools don't allow this.) My question is, what I can do during my year off? Of course, I can travel or get a job and make some money, but I would rather do something that helps with my graduate admission. Are there any research programs or internships for college graduates, particularly mathematics students, that would help in my admission?