I'm in the final year of my undergraduate studies. My GPA is about 2.5, I have done research (but no paper), I have excellent recomendations and I will sit for the TOEFL and GRE, general and subject - physics test in the next few months. I am interested in experimental high energy physics and I started sending applications to the following schools: MIT, Caltech, Columbia, Cornell. I understand that maybe I have no chance in some of them and I want to send applications and to other schools where the probability of admission is higher. So I need school suggestions and how many applications do you believe I should send?