Recent content by dans595

Another Math Ph.D. applicant here. I'm interested in algebraic number theory. I applied to Berkeley, Stanford, Harvard, Princeton, MIT, Caltech, UCLA, and UCSD. Berkeley is the only one to have gotten back to me so far (an offer). Well, up until I got that offer I was very, very nervous...

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Oh I see your third question: how specific should you be about your interests. The answer, I believe, is "as specific as your interests are." If you already know you want to work on Galois representations in arithmetic algebraic geometry, then you should say so. If you know that you want to...

First, sorry to hear about your health problems. You mentioned that the surgery really has helped you: for that I am glad, and I hope you enjoy good health for many years to come. So I basically detected two questions in your post: how much should you write about your health problems, and...

1. Is taking a course just on Logic (or Set Theory) necessary? It is a good idea to learn axiomatic set theory if you're a math major. Whether you do it in a course or not is up to you. 2. Complex Analysis before, after or concurrent with Real Analysis? I don't think it matters unless the...

Combinatorics likely isn't essential, but that also depends on what your goals are with your degree. If you're trying to gauge what an undergraduate "should" know: Does your program have degree requirements? These are likely a good gauge for "essential undergraduate material," though not...

All the things you've mentioned are essential. I recommend a first course in real analysis before topology, perhaps just because that is the way I did it. I think that topology is more abstract, and I argue that it is more canonical to see concrete cases before abstract cases. Honors...

clope023 : "I agree sleep is important but you don't need 8 hourse everyday if you catch my drift, lol" That varies from person to person. My point is, get as much as you need. (Not as much as you need to stay alive: as much as you need to be refreshed and operate at your best.) Getting...

Study things that interest you. You can only get to neverland if you find your happy thought. Have a positive attitude about your work. Exercise, eat well, and sleep. I'll say it again: sleep. It's a common practice amongst college students to stay up late and get up early to "get...

Do they round down? They say your raw score is C - I/4 where C is number of correct answers and I is number of incorrect answers. Somebody told me that on other tests, ETS tends to round down. I.e., they might use something like: C - ceiling(I/4) Does anybody know?

Tensor with the field of education.

Excellent. Thank you!

I have something like A \rightarrow B \rightarrow C I'd like to put function name's about the \rightarrow's, to replace the notation \phi : A \rightarrow B, \psi : B \rightarrow C. Is this possible? Thanks!

Might check out Berkeley's "Logic and Methodology of Science" degree. http://logic.berkeley.edu/

I'd say at least an undergraduate class on set theory or logic is probably a good idea. In fact, to get the B.A. at my school, this is a requirement. Rather on topic: A professor of mine said that knowing the compactness and incompleteness theorems of logic is something that most...