Each of these Ivy League universities has a unique personality that the student body tends to uphold and which characterize the culture of the respective institution. Stereotypical is a strong word to describe these institutions as they are known for an incredibly well-rounded and gifted student body. Here we go:

1. Princeton: highly intellectual as defined by the emphasis on theory as opposed to application in its academic coursework and offerings. A very small undergraduate student body with world class access to research and academic powerhouse faculty at the top of their fields. In the recent years, Princeton has made a major shift toward increasing diversity on campus.
2. Harvard: a highly ambitious, driven student body who aspires to be the leaders of tomorrow. Government, political science, and economics are popular majors at the university where students flock to management consulting, public policy, and investment banking roles. An incredibly diverse institution where students aspire to make an impact on our society given their strong involvement in extracurricular activities.
3. Yale: a focus on political science, law and the humanities. Students are intellectually curious, bright and well rounded across the board. Similar to Harvard and Princeton, students tend to flock to management consulting and investment banking roles after college. Student body exhibits a strong degree of leadership and has access to professors who are at the top of their fields.
4. UPenn: a focus on pre-professional programs, including Wharton undergraduate business school, Jerome Fisher M&T, Digital Media program, etc. The student body is characterized by its particular affinity toward entrepreneurship as exemplified by the founding father Benjamin Franklin’s values.
5. Columbia: known for the Core Curriculum, where students receive a truly well rounded liberal arts education including contemporary civilization, literature, writing, art, music and the frontiers of science. Students are also enrolled in the Fu Foundation of Engineering and Applied Science (SEAS).
6. Dartmouth: located in New Hampshire, Dartmouth is truly a bubble and has an academically talented, well-rounded study body that runs on a quarter system. Important faculty on campus include Thomas Cormen, who authored the famous book on Algorithms.
7. Brown: students are academically gifted and free-willed, as defined by the Open Curriculum, where students could have the flexibility to take an eclectic set of courses to satisfy their distribution requirements and also design their own concentration should they pursue it.
8. Cornell: the strongest engineering and computer science program of the Ivy Leagues. Incredibly rigorous academic institution that has access to world class resources. Cornell has unique programs including Colleges of Arts and Sciences, Engineering, Architecutre, Art and Planning and the School of Hotel Administration.

Hope that helps!