Unlike damigella, I am not a mathematician, but if your daughter knows that she has a particular interest in mathematical logic, I might have some useful suggestions.

I'm a little puzzled, though. At the undergraduate level, most math departments I'm familiar with include plenty of pure math in their curriculum. Are we talking about finding a graduate program?

In any case, hearing about someone who is going to become a mathematician always brightens my day. Please convey my best wishes to her.