Displaying a passion in math

<p>Hi, I'm a rising junior, and I want to major in some kind of mathematics at a good college like MIT or Princeton. I think that I am pretty well-rounded as an individual, but know that's important to display a passion for something, in my case, math, before it's too late. However, I'm not sure if what I have done so far is on the right track to getting accepted into one of those schools. Also, I will be moving to Korea for my junior, so I'm not sure how that will impact me, but I will definitely have more time to pursue my interest in math. Here's what I've done so far:</p>

<p>AMC competitions (every year since 6th grade, fairly decent scores, but not great, qualified for AIME in 9th and 10th grade)
Mathcounts (7th and 8th grade, qualified for state both years)
MathPath summer program (8th grade)
PROMYS summer program (9th and 10th grade, enjoyed a lot!)
Science fair (6th - 9th grade, nothing amazing)</p>

<p>I don't think this is all that impressive, which I'm kind of bummed with. Since I'm going into my junior year, I definitely want to do something significant before admissions. I don't think I could qualify for USAMO, but it could be a possibility. I'm looking into various other math competitions, are there any recommendations? I will be in Korea, which could be limiting. Also, I would really like to show achievement in some other form other than contest math. I did a research project at PROMYS that I liked a lot, should I try to pursue that? Are there other ways to show that I am passionate for math? </p>

<p>Thank you!</p>

<p>Admission to these schools is very competitive. Virtually all the applicants will have a 4.0 GPA (or close to it) and an ACT of 31 or better. They will also have a slew of other accomplishments. Putting together a competitive app to those schools is a lot of work, and admission isnt likely for most students. Think about whether this is something you really want to pursue. </p>

<p>That said if you really want to pursue it buy some books on competitive admissions like “What it really takes to get into the Ivy League”. In addition to your competitive accomplishments you will need some demonstration of leadership and service. GL. </p>

<p>Yes, I have a 4.0 GPA, I think I’m on track for a 2300+ on SAT, taking challenging courses, AP’s, other extracurriculars, etc. I’m just asking if there is anything specifically for math that I can pursue so I can demonstrate that I am passionate for math, especially as my junior year is coming up.</p>