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And why is going to a top school mutually independent from knowing prominent people? I would think to some extent it is the opposite - the opportunities to meet and collaborate with prominent people would be more abundant. (I am not saying this to be adversarial towards you or anything by the way, I'm just fleshing out as much information for both me and any other student in the same situation)PhysicsGente said:Not really. From personal experience, it is not about prestige when applying to top grad schools. It's about who you know really.
Graduate level courses aren't replacements for rigorous introductory courses though.PhysicsGente said:Once you are done with undergrad stuff, no one stops you from taking grad level classes.