I'm just about to finish my first year at university here in Australia, and have began building relationships with a few professors and researchers that will hopefully lead to some summer research opportunities and solid letters of rec. Here's the deal - I've applied to transfer to another, slightly more reputable university, at the end of the year. I think I'm in a fairly good position at the moment at my current university in terms of research prospects, and I know that in transferring I will essentially have to start over and perhaps miss out on a small research opportunity this summer. So it comes down to this - if I stay put, I may be able to garner more personal and overall higher quality letters of rec when the time comes, whereas if I transfer I will have the benefit of having a more internationally recognized university next to my name. Could anyone offer advice on what option would more greatly increase my chances of admission into a top US graduate school programm, or if it matters at all?
For the record, my current university typically ranks 6th-8th in Australia, while the university I have applied to ranks 1st-3rd, and has produced 2 Nobel laureates (both in Medicine).