<p>Thank you for all your help. Now, to provide more info about myself: I’m 99% certain that I want to pursue a research career in math, so I plan to major in pure math(I may choose minors in computer science or neuroscience, I’m not sure). I’m particularly interested in number theory, discrete maths and abstract algebra. I have a quite solid background in number theory, so I would probably skip the “elementary” number theory course at most colleges. I also took a great deal of algebra(including some linear algebra), some calculus(differentiation and integration), and (rather basic)combinatorics and geometry. I can’t say how advanced I am though, as I know little about how much most future math majors know.</p>
<p>I browsed the site of Williams, Pomona and Harvey Mudd. I found that Williams has the advanced courses that suit me most, but some of them are “not offered this year”(namely Analysis and Number Theory, Algebraic Number Theory, Graph Theory). Does anybody know about how often they are offered?</p>
<p>One last question: how difficult is(for an international student without a lot of money) to get into Williams, compared to NYU, Northwestern, Rice or Johns Hopkins?</p>