Princeton ORFE Program (and others)

Hi, I'm a long time lurker of this forum, but this is my first post. I'm currently a junior undergrad at UC Berkeley, having done research in various OR topics, (e.g. algorithmic game theory, online optimization, etc.).
I will be interning at Citadel this summer as a quant intern - this was a hard choice against more research in the summer (last time before grad school apps).

I was wondering, does having interned as a quant help for admissions to PhD programs, like Princeton's ORFE, as well as other places? I'd like to perhaps do a PhD in various topics. Also, do math olympiads (USAMO from high school) count for anything in these types of applications?

Thanks!

 

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