I am a third year student doing my bachelors in both physics and mathematics at a German university. Since I am really interested in theoretical physics and mathematics I am thinking about doing a masters degree in mathematical physics. I am very interested in Mathematical Quantum Mechanics and, even though I haven't had courses in it yet, in QFT and General Relativity.
I'm thinking about applying for Part III of the Mathematical Tripos in Cambridge. It's probably quite hard for a German student to get accepted in Cambridge, isn't it? So my question is:
Do I need research experience, papers or something like that? At German universities we don't really do research or write papers in the bachelor studies of theoretical physics or mathematics (apart from the bachelor thesis itself).