<p>4th-year math major here.</p>
<p>There are SO many research opportunities that it’s ridiculous, and most of them are paid. In particular, Chicago runs its own summer REU program (which I guess has been rejected for funding by the government next year due to budget cuts, but the math department might pick up the tab). </p>
<p>Last year’s REU can be found here: [VIGRE</a> REU 2010](<a href=“http://www.math.uchicago.edu/~may/VIGRE/VIGREREU2010.html]VIGRE”>VIGRE REU 2010)</p>
<p>Obviously I’m going to support Chicago as an alumnus, but I think that Chicago probably offers the best research opportunities in mathematics for undergraduates than any other school in the nation (or at least, is on par with the very top, but I wouldn’t even say that).</p>