<p>Since I may be undecided between Mathematics and Chemistry, I would like a school that is great for both. I want to stay in the northeast.</p>
<p>HYPM, Columbia, UPenn, Brown ... I assume any of these would be a good choice, right?</p>
<p>How would NYU, BU, and CMU be?</p>
<p>For ungraduate math and natural sciences you have to consider Princeton, MIT, U of Chicago, Cal Berkeley (though not in the Northeast), Columbia, and Harvard as being at the top of the table, but NYU, Upenn, JHU, CMU, U of Michigan, Cornell, Pittsburg and Rutgers all also have highly regarded programs.</p>