<p>The graduate colleges at the Ivies are full of students who earned their undergrad degrees at public universities. My old lab at Cornell was positively aswarm with them.</p>
<p>Think carefully about the graduate program you would like to get into, work on your GRE scores, and cultivate good relationships with your old professors so that they will write you good letters of recommendation.</p>
<p>Wishing you all the best.</p>