A flagship university in the U.S. is the main public university for the state. Typically the largest, highest ranked of the public universities in the state. UWisconsin-Madison, UIUC, UMinnesota-TC are examples. I just transferred this terminology to the country D1 studied in – there is one university there that is considered the country’s most prominent one, located in their largest city.
She’s quite lucky with her choice of school huh :D. I wish I could orchestrate a straight career path like your daughter.