<p>All good points. I would love to get into to Harvard and yes that odds are against me. I have always thrived when the odds were against me. The value of getting in is about as great as the journey to try and get there. Sometimes being rejected is a good thing. If you do not high goals how can you appreciate the other schools when you did not try to reach your dream. Sure I will more than likely get rejected but could I look at myself in mirror and say I did all I could to get in if I never tried?</p>
<p>As for goal. Research and Academia. I teach already and I am enjoying it (When I am not pulling my hair out. Middle School is like nothing else.) I would love the time to just explore ideas further. To slowly work at a project and see it take form. To teach some people who enjoy the subject as much as I do. (That is a rarity to begin with at the college level but possible to find one person once in a while that enjoys math in general. My students right now are not full of joy for math.)</p>