I am the director of my university's mathematics honors program, and we just had an inquiry from the parent of a 15 year old who has already completed most of the math courses for a standard undergraduate degree (and who is already sitting in on grad classes).
The problem is that the kid isn't interested in taking anything but mathematics. Standardized tests indicate that he's no slouch at the sciences and reading/writing, but he wants to do math all the time. I haven't seen the details of his application, but everything points towards him being extraordinarily gifted in mathematical ability.
Our program can handle him, but my feeling is that he should go to the most prestigious place possible. Are there any top-notch programs out there that would let a student focus almost entirely on mathematics for their undergraduate degree?
Edit: Thanks everyone for the responses!