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...want to prepare for my essay, recommendation letter and interview.

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The University of Oxford (informally Oxford University or simply Oxford) is a collegiate research university located in Oxford, England, United Kingdom. While having no known date of foundation, there is evidence of teaching as far back as 1096, making it the oldest university in the English-speaking world and the world's second-oldest surviving university. It grew rapidly from 1167 when Henry II banned English students from attending the University of Paris. After disputes between students and Oxford townsfolk in 1209, some academics fled northeast to Cambridge where they established what became the University of Cambridge. The two "ancient universities" are frequently jointly referred to as "Oxbridge".

The University of Cambridge (informally Cambridge University or simply Cambridge) is a collegiate public research university in Cambridge, England. Founded in 1209, Cambridge is the second-oldest university in the English-speaking world and the world's fourth-oldest surviving university. The university grew out of an association of scholars who left the University of Oxford after a dispute with the townspeople. The two ancient universities share many common features and are often referred to jointly as "Oxbridge". Cambridge is formed from a variety of institutions which include 31 constituent colleges and over 100 academic departments organised into six schools. Cambridge University Press, a department of the university, is the world's oldest publishing house and the second-largest university press in the world. Cambridge's libraries hold a total of around 15 million books, eight million of which are in Cambridge University Library, a legal deposit library. Cambridge is consistently ranked as one of the world's best universities. The university has educated many notable alumni, including eminent mathematicians, scientists, politicians, lawyers, philosophers, writers, actors, and foreign Heads of State. Ninety-two Nobel laureates, two Chief Scientists of the U.S. Air Force and ten Fields medalists have been affiliated with Cambridge as students, faculty, staff or alumni.

Cornell University is an American private Ivy League and public federal land-grant doctoral university located in Ithaca, New York. Founded in 1865 by Ezra Cornell and Andrew Dickson White, the university was intended to teach and make contributions in all fields of knowledge—from the classics to the sciences, and from the theoretical to the applied. These ideals, unconventional for the time, are captured in Cornell's motto, a popular 1865 Ezra Cornell quotation: "I would found an institution where any person can find instruction in any study."

Brown University is a private, Ivy League research university in Providence, Rhode Island, United States. Founded in 1764 as "The College in the English Colony of Rhode Island and Providence Plantations," Brown is the seventh-oldest institution of higher education in the United States and one of the nine Colonial Colleges established before the American Revolution.

Northwestern University (NU) is a private research university based in Evanston, Illinois, with campuses in Chicago, Illinois, San Francisco, California and Doha, Qatar. Composed of twelve schools and colleges, Northwestern offers 124 undergraduate degrees and 145 graduate and professional degrees.

Dartmouth College is a private Ivy League research university in Hanover, New Hampshire, United States. Established in 1769 by Eleazar Wheelock, Dartmouth is one of the nine colonial colleges chartered before the American Revolution. Following a liberal arts curriculum, the university provides undergraduate instruction in 40 academic departments and interdisciplinary programs including 57 majors in the humanities, social sciences, natural sciences, and engineering, and enables students to design specialized majors and minors or engage in dual degree programs. Dartmouth comprises five constituent schools: the original undergraduate college, the Geisel School of Medicine, the Thayer School of Engineering, the Tuck School of Business, and the School of Graduate and Advanced Studies. Dartmouth is the smallest university in the Ivy League.

The Johns Hopkins University (commonly referred to as Johns Hopkins, JHU, or simply Hopkins) is an American private research university in Baltimore, Maryland. Founded in 1876, the university was named for its first benefactor, the American entrepreneur, abolitionist, and philanthropist Johns Hopkins. Adopting the concept of a graduate school from Germany's ancient Heidelberg University, Johns Hopkins University is considered the first research university in the United States.

The California Institute of Technology (abbreviated Caltech) is a private doctorate-granting university located in Pasadena, California, United States. Although founded as a preparatory and vocational school in 1891, the college attracted influential scientists such as George Ellery Hale, Arthur Amos Noyes, and Robert Andrews Millikan in the early 20th century. The vocational and preparatory schools were disbanded and spun off in 1910, and the college assumed its present name in 1921. In 1934, Caltech was elected to the Association of American Universities, and the antecedents of NASA's Jet Propulsion Laboratory, which Caltech continues to manage and operate, were established between 1936 and 1943. The university is one among a small group of Institutes of Technology in the United States which tends to be primarily devoted to the instruction of technical arts and applied sciences.

The University of Pennsylvania (commonly known as Penn or UPenn) is a private, Ivy League university located in Philadelphia. Incorporated as The Trustees of the University of Pennsylvania, Penn is one of 14 founding members of the Association of American Universities and one of the nine original colonial colleges.