Realistic chances... let me have a look at my mathematicrystal ball... I see... Harvard: 0.465... MIT: 0.634... Stanford: 0.295... and the like: 0.784...
I know you'd love to hear those numbers, but as anybody will tell you, NOBODY can tell your chances. Now with
vj wrote:REU: Unfolding of Prismoids (Georgia Tech) 2013 Summer. Submitted a report.
Publication: Co-authored and published a paper in a math journal, not sure how much this counts or matters
I can get 3 very strong letters of recommendation from faculty (who are well known in their fields).
Worked as a Teaching assistant and grader 2-semesters.
+the fact that you're 14yo and American, you shouldn't worry. Best ingredients are good research+publication+recommendation.
If you want some examples of SOP, here's a few: http://alumnus.caltech.edu/~natalia/stu ... amples.htm
Good luck. Wait, no, you don't need any, you already got what it takes.
PS: did you have a look at the applicant profile threads?