I realize that there are many more than adequate schools where I can go to obtain a PhD, but my current goal is to get into one of the top 30. I truly have no idea of the competition, hence the question. I am going to the university of connecticut and came in with 38 AP credits and will graduate in three years instead of four. I got a 4.0 first semester but obviously I was not taking upper level physics courses. I should be doing an independent study in nuclear and particle physics next semester and will hopefully get research for over the summers and during the semesters in form of credit or money for the following two years. Also, I will graduate from the honors college and write a senior physics thesis before graduate application deadline. I will also take about 4 upper level physics courses not needed for my major so I should be very qualified. Lastly, I hope to be a University scholar which they only award to 30 students a year and is considered the highest possible honor. With all that info (and assumptions), would it be reasonable to get into a top school? Such as Yale or Brown (my top two at this premature stage). Thanks for any input, even if its telling me I havent got a shot or that it is pure speculation, which I understand.