<p>Following up on the comparisons, is the size of the department limiting?
Silly example: Say you are working on a certain algebraic entity. If you go next door will Joe geometrist be like “Oh yeah, that’s a heart shaped bundt pan, we can apply this theorem and this theorem to it.”</p>
<p>So I guess I’m asking about the collaboration factor. Is the collective knowledge of the department diverse and intense enough so that good ideas can spark chain reactions? I know you have really smart people there, I’m just curious if a critical mass of top profs who attract top grad students has been achieved(for the math department specifically).</p>