<p>I have quite good academic background, average sat scores (good in math) I have great interest in math, and that is my first choice major is Math I have a lot of EC like athletics and represented my school in regional and south zone CBSE athletic meets (I am from India).Have good leadership qualifications as well, Math Secretary, done a lot of PowerPoint presentations for helping learning and also helped in conducting cultural events at school and also played soccer for my school team and did some social work too. I have published a research paper on the extension to the Pythagoras theorem and have also presented it in an International conference on number theory. I have got two recommendation letters from two professors I worked with here on my paper. I have also taken the toefl test (97in Ibt).I have applied to five Ivies (a bit too much may be) really what are my chances?</p>