You know, I consider myself to have pretty excellent social skills—but I just don't like doing things with other people. I can confidently say that doing mathematics, or any type of problem-solving activity with other people lessens the amount of fun I have doing it.

Maybe I just haven't found the right people? There are a couple of friends I have who I enjoy discussing problems with, but all of us similarly agree that the bulk of the work is more fun done alone.