Hello folks. I am a European student applying to MIT, Harvard, Princeton and Cambridge in the UK this fall. I have a strong passion for mathematics, I have self-studied for past two years, I went through 20 textbooks – 4 pure, 5 mechanics, 5 statistics, 3 further pure and 3 decision maths. I am also taking intensive private maths classes for past 1 year, taught by a PhD in applied mathematics - we plan to go through some linear algebra this summer and I also took Harvard’s programming course – CS50x. (it really helped my maths "vision".) I have seen college maths, I am actually preparing for Cambridge STEP – which is based on high school curriculum but questions are much more demanding and tough. (http://www.mathshelper.co.uk/STEP III 2007.pdf) In case I would get an offer, I would be asked to achieve grade 1 (second best - 4 problems solved completely) in all three papers. With that being said, I am unsure about my career options after graduation. So far, a quant analyst caught my attention – lots of maths involved, PhD required, competitive salary. Though I am afraid that you can’t really progress in your career as a quant. You get to become a quant, maybe you get promoted to some leading quant, but that’s it I guess. I like the fact that PhD is required because it seems like quite an achievement to achieve it, especially from a top-tier institution, I would be proud of myself. I am also considering a MBA. The problem with MBA is that you don’t necessary work with maths. Sure, some basic statistics, addition, subtraction, median, mod, but I doubt that there are some math-oriented jobs for MBAs. Also, it costs quite a lot of money. But in return, an average 20 year salary of HBS graduate is 3.6 million, go figure… So what I am thinking about is both PhD and MBA. I’ve heard it’s quite common in STEM fields, you don’t necessary end up on the same position for the rest of your life, you end up knowing some really cool maths and you are basically a rocket scientist that’s capable to do some managing jobs. I understand that I shouldn’t even think about this stuff as I am not on even on college yet, but I doubt that my interests will move to other area than mathematics and CS. I know a guy who is a HBS graduate and he told me that having a vision of future career is always a good thing, so I would like to know what options do I have. Thank you very much for your advices.