<p>I'm interested in knowing my chances at Caltech, and also good safeties?</p>
<p>Academics
GPA - 5.04, Rank - 2/348
SAT -800m, 800cr, 770w, 800math II, 760 physics, 770 french
APs:
grade 10: Calculus BC - 5 (AB subscore - 5)
grade 11: statistics - 5, APUSH - 5, French- 5, comp sci AB - 4 (but I taught myself the AB stuff if that helps...), physics C mechanics - 4 (again, taught myself this with help of a once weekly not for credit class...)
grade 12: english composition, chemistry, bio, modern euro (would take more if my school offered more!)
College classes:
summer before grade 10 - C++ Programming - A
grade 11 - Multivariable Calculus and Linear Algebra at Harvard Extension school - both A
*I am currently self-studying abstract algebra and real analysis because I am too poor to take more college classes :( lol. do you think this will hurt my chances...?</p>
<p>ECs
Piano - 9 years; Packer Prize for Excellence in Piano Studies (best piano prize at my music school), Second Place performer- Merkin Hall in NYC, performer in New England Piano Teachers Association Recitals, award for Most performances at music school</p>
<p>Saturday music classes - composition (2 string quartets + a violin/cello duo), theory, piano duos, chamber music, sonata class; awards for dedication to chamber music, excellence in music theory; qualified for/participated in Longy Chamber Tour to Mexico </p>
<p>Math team - I founded it last year - I organize participation in math league, AMC, Mandelbrot, find transportation/funding, etc. - all are unprecedented at my school (yeah.. my school never took AMC before last year!); got the highest score on AMC12 last year at my school but this was only an 84; have been one of the top two scorers on calculus team for two years - received Coach's Medal</p>
<p>Research - papers in applying mathematical models to counterterrorism (submitted but not yet accepted for publication), presented at 2nd and 3rd Conferences on Mathematical Models in Counterterrorism, also did research in fluid dynamics- honorable mention at state science fair last year</p>
<p>Community service- coach middle school mathcounts team (went to states last year for the second time in its history!), science museum volunteer, uplift afterschool tutor</p>
<p>Work - working as an aid at local Kumon Center, mentor at Girls' Angle, a math club for girls run by math PhDs, tutoring (trying to raise $$ for math team and math classes)</p>
<p>awards - national merit semifinalist, harvard book prize lol, national french exam placed 4th/5th/6th nationally, academic decathlon silvers in music and art at state level</p>
<p>I am going to major in math/want to be a math professor</p>
<p>other schools: MIT, harvard, princeton, stanford, uchicago, cornell?, umich?, maybe u maryland? any suggestions on what to add on this list?</p>
<p>I'd greatly appreciate advice on other schools, chances, etc!</p>