I am not a math or science person, but I'm trying to learn so please forgive my lack of knowledge. Is there research in math? Are there boundaries to math that can be pushed out? Studying the universe, it's obvious that we don't know everything yet. There is plenty to discover for physicists. But is there more to discover for mathematics? If a large donation was made to a university mathematics department endowment, would it have less of a positive impact than giving it to physics? I read in the press about a mathematician solving an old problem every once in a while, but I never hear of one inventing a new type of math. Has all the math we need been discovered or invented?