Hi, I'm fresh out of highschool, studying physics on Charles University in Prague. It's not a bad school, but my ambitions are bigger. I'd like to continue with my master's or phd degree somewhere like ETH Zurich (I've read about the excellence scholarship - covers tution and living costs) or another top school. I'd like to know what should I focus on if I want to get admitted? Are grades the most important or should I rather do some research? Is it better to take a broader spectrum of classes or just a few and excell in those? I'm also thinking of doing the mathematics program on my uni simultaneously from the following year on. Do you think this would be a good step (in physics I'd like to focus on things like theory or mathematical/computer modelling...)? I can also take the classes without officially being mathematics student, but I thought that being mathematics student officially could look good on my applications (or am I wrong)?