Chances for Princeton math major?

<p>Princeton obviously has one of the best math departments in the world...</p>

<p>Race: Asian Male
SAT: 2350 - 770 CR, 780 W, 800 M (2nd try)
SAT II: 800 Math II, 800 Chemistry, 780 Physics
GPA: 3.957 unweighted
Rank: Should be top 5% of class of 1000
Course load: 9 APs so far six 5's and three 4's</p>

<p>Extracurriculars:
Math Research 10,11,12
Math Club - President 9,10,11,12
Academic Club - Captain 9,10,11,12
Science Olympiad 9,10,11,12
Orchestra 9,10,11,12
Tutor people in math 11,12</p>

<p>Distinctions:
2006 Siemens Regional - 11
2007 Siemens Semi - 12
USAMO qualifier - 11
USNCO qualifier - 11
ARML team high scorer - 10,11
USAMTS Silver - 10
National Merit Semi - 12
National AP Scholar - 11</p>

<p>Recommendations:
Should be decent, I got one from my research mentor</p>

<p>Thanks.</p>

<p>Impressive...your chances are good!</p>

<p>Thanks. But I'm not a great essay writer, will an average essay hurt me?</p>