Crimson experience = Harvard experience?

Yes, Crimson is the name of the Harvard student newspaper, and the sports teams of Harvard University are called "the Crimsons." It is a typical usage in the American language to refer to a university, its students or its activities by such a name. For example, the term Buckeye is used to refer to the sports teams of the Ohio State University. Therefore, any reasonably educated American reading about Buckeyes will know that it refers to the sports teams or the students of OSU.

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Division I refers to the highest level of collegiate sports in the United States. Smaller schools might participate in Division II or III where they could be competitive with a smaller student body, but they get very little attention.

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