<p>While we’ve got the eyes of math grad students here, I have a question about “elite” admissions.</p>
<p>How thoroughly expected are research and publications, particularly in pure math? The maxim for the laboratory sciences is research, research, research, but that’s a far more difficult prospect for pure math. Any thoughts?</p>
<p>Edit: To answer OP’s question:</p>
<p>Real analysis, complex analysis, and topology are also “bread and butter” courses in mathematics.</p>