My current interests are way too broad, but I'm still young and have time to narrow things down later. I prefer to separate my philosophy from my mathematics and vice-versa, as too many "mathematician-philosophers" end up getting the short end of the stick.
I'd like to see the mathematics articles on wikipedia become slightly more accessible to people without a background in mathematics. I think it's foolish for an encyclopedia to define a mathematical concept in terms that only a person who already knew the concept could understand.
"Wir müssen wissen. Wir werden wissen." -- Leopold Kronecker.