<p>AMC is the american mathematics contest ([link](<a href=“http://www.unl.edu/amc/e-exams/e6-amc12/amc12.shtml]link[/url]”>http://www.unl.edu/amc/e-exams/e6-amc12/amc12.shtml)</a>). It leads to the AIME, which leads to the US math olympiads…few qualify, but it’s definitely worth a shot since the kind of math there is probably unlike your curriculum.</p>
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<p>Although I doubt this will be the case, pretty much wherever you go…</p>
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<p>Yes, the faculty interaction is really amazing :)</p>