Yeah, you are right. When I talked to him yesterday, he tried to persuade me not to apply those schools and listed many programs that he felt like I have zero probability to get into. But I am not sure how right he is, for my school doesn't have a PhD program in my field. Even though he is the head of my department, he himself said that he's not that familiar with current application market. I think one of the most important reason he concerns is his reputation. He told me that he has some contacts with professors in those schools, whom he considers might get Nobel Prize some day. From his talking, it seems that he is still on the way to build higher reputation in the field.That's why he's so careful in recommending students to those schools where the professors he desired to connect work. Yet after listing all the impossibilities and difficulties, he said if I insist, he would still write "good recommendation letter" for me. and do whatever he can to help me. But I don't know how "good" he means. Also he did doubt my ability to excel in those programs, for he said, they are genius people. but we are only smart...