TITLE: How to mentor an exceptional high school student?
QUESTION [16 upvotes]: I have a unique and, quite truthfully, humbling opportunity. The parents of an exceptionally talented high school freshman have reached out to me and asked if I might be able to help.
This kid is seriously good; he came to our state high school math contest and blew away the competition. He is active in a local Math Circle and is in extremely capable hands, and his parents inform me that he is extremely active in the Art of Problem Solving and the Worldwide Online Olympiad Training program. 
I think my role, insofar as I could help, would be to introduce him to advanced topics and/or research. I am thinking about suggesting to him that he read Apostol's intro book on analytic number theory, or Stillwell's Naive Lie Theory; he might also enjoy some serious combinatorics and/or learning about the partition function. (Or, ... ?)
Does anyone have any suggestions for helping such a student?
Thank you! -Frank

REPLY [12 votes]: And don't forget to play ball with him every once in a while.