MIT has three long essay topics: how the world you come from has shaped your aspirations, how you’ve helped the community, and how you’ve recovered from failure. So far I’ve written two of them about math: recovering from a poor competition performance, and helping my school community & AoPS. If I write the third essay about math, I’m going to show my passion for math. Otherwise, I’ll try to present myself as a sophisticated, deliberate, and reflective person whose personality is nuanced, if that makes sense.
My question is: what should I write my third essay on? On one hand, I want to show MIT every facet of my dedication to math: how I’ve helped others, why I enjoy it so much, and how my skills have progressed. On the other hand, I’m afraid that focusing too much on math will suggest that I’m not well-rounded and that I lack sophistication. Part of the reason I’m afraid this will happen is that I don’t have many non-academic extracurriculars or achievements.
For reference, I got a 2360 on SAT and qualified for USAMO in 2013, 2014, and 2015.