I'm going to be entering senior year of high school this fall, and it's getting dangerously close to the time I'll need to begin sending out applications. The problem is, I'm not sure which schools to apply to. So far, my dream schools are Brown, Columbia and Williams. For some background info, my SAT score is a 1550 out of 1600 (2340 including the writing), and my GPA is currently a 4.00. As for what I'm looking for in a school, I prefer to be in a competitive environment, and will probably major in a pure science, most likely either Chem or Physics. Any recommendations at all would be very appreciated.