<p>I agree that Stanford is stronger than Brown in every academic area.</p>
<p>Nobel Prizes
Stanford (51)
Brown (7)</p>
<p>[List</a> of Nobel laureates by university affiliation - Wikipedia, the free encyclopedia](<a href=“http://en.wikipedia.org/wiki/List_of_Nobel_laureates_by_university_affiliation]List”>List of Nobel laureates by university affiliation - Wikipedia)</p>
<p>However, for undergraduate education, the differences will be slight. For graduate school, it may be helpful to have attended Stanford for undergrad as its faculty recommendations carry more weight on average. Brown does have David Mumford, a Fields Medalist (an emiritus prof in applied math).</p>