<p>First of all, almost all schools have research opportunities. But we did research PAID research opportunities (during the school year - there were many during the summers) at other schools (especially LACs and Ivies), and found almost none. This includes Williams, my alma mater (which has a GREAT math department) - they couldn’t name a single one during the first two years. Not one. We couldn’t find any at Yale or Princeton either. I taught at UChicago - Nada. I haven’t heard of any at Johns Hopkins either.</p>
<p>You are right, though. I have no idea about MIT or Caltech.</p>
<p>As for published research, Hope College has more than any college than I know of, per capita, but that’s an entirely different subject.</p>