I'm an international applicant and unfortunately, although my school is a top school in south east asia and ranked in the top 50 by QS, the math department is relatively new. I guess my biggest setback is that I haven't taken a lot of advanced math courses related to differential equations and probability (areas I hope to do research) simply because my school doesn't offer them, even at the graduate level! We do have ODE's PDE's, calculus based probability but courses like functional analysis, measure theory, are still in the works. My institution's PhD program is catered to research and so the courses offered are very general and I guess you learn the other stuff on your own.
From what I know Cornell has already sent a couple of admits. Manyfolds has gotten one. Did you contact Cornell about this?
As for Columbia APAM, I believe that they have yet to send out their offers.
Good luck to you too!
I only applied to 4 PhD programs and 5 master programs as a back up plan. If I don't get accepted to Cornell, I will most likely attend Carnegie Mellon. If I hear from Columbia APAM and get rejected by Cornell, I might have to deliberate between CMU and Columbia. I'm not thinking about the master programs I applied to anymore since I've already gotten a PhD admit
What school are you most intent on attending?
Ah I see. I think in the class offering department, there's really no beating a top ivy. Between advanced undergrad and grad classes, I've taken Topology/Algebraic topology, differential/Riemannian geometry, Real analysis/measure theory, probability theory, etc, as well as some advanced algo classes cross listed with the comp sci department. Truly I feel very fortunate to be able to have had this kind of training. Definitely it would be much harder for you to have learned all this on your own than for me with all the support of a structured program, but I'm sure the admissions officers take this into consideration. And of course, it's tougher for you as an international, and that's really unfortunate, as I think a lot of international students are extremely hard working and well prepared for graduate study. I definitely think your best bets are private schools (which I see you've applied to/gotten into - CMU is great for applied math), as for public schools, funding internationals is definitely a more of an issue...
Yes, I've heard about Manyfolds' admission, based on my impression I thought he/she had a strong background, so definitely well deserved. I'm most interested in hearing back from Caltech, because of a specific research group that I'm interested in. Honestly I don't know if I would prefer Columbia to Berkeley, so it might end up being a choice between those two. Also I did ask Cornell, but their answer was kind of a vague "we are still deliberating, wait and see", so I don't really know what to make of it...