TITLE: Programs for precocious prodigies
QUESTION [5 upvotes]: 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!

REPLY [7 votes]: Top-notch program? Would let a student focus almost entirely on mathematics? 
I think there is no better recommendation than Brown University*. Starting in 1969, Brown has let students take any courses they want, given of course that they take the necessary courses for whatever they end up majoring in. 
This is precisely what I have done during my time at Brown, and for me, it has been an immensely valuable experience. I cannot imagine having grown mathematically as much as have anywhere else. However, I also think that my secondary education was reasonably high quality and well-rounded, and I would recommend that this student take at least a few courses outside of math - it's not the end of the world. For example, I came to Brown also mildly interested in physics and philosophy, and I took a few courses in both until my interest waned / I decided I'd really prefer to be doing math. 
Notably, Brown lets you take any course you want to as a pass/fail, and if you do fail, it is erased from your transcripts! The entire system at Brown is designed to completely free the student, from school-imposed decisions about what they should learn, and from self-imposed fear of taking something they might do poorly at. 
*I guess being in the Ivy League does not even qualify a school as "and such"? :)