<p>Recommendations</p>
<p>Private Research Universities
Look at Caltech, Chicago, Cornell, Harvard, Johns Hopkins, MIT, Princeton, Stanford, Yale, Penn, Rice
(Somewhat less selective: University of Rochester, Case Western)</p>
<p>Small Liberal Arts Colleges
Look at Carleton, Harvey Mudd, Reed, Williams
(Somewhat less selective: Lawrence University)</p>
<p>Public Research Universities
Look at Illinois, Michigan, UC Berkeley, UC Santa Barbara … and your own state flagship</p>