<p>Don't do the NYU masters, just don't. If you want to do a PhD, just do the PhD, Northwestern and Duke are still great programs. Even if NYU is #1, they are ridiculous with their grad admission policies. This is the truth, acceptance without financial support is a rejection. If you get funding, then yeah sure, go make your choice. But be aware that NYU is very difficult to get funding and while you may be able to get into the PhD program, again you are not guaranteed funding after you get into the PhD program as they admit PhD applicants without FUNDING! Also you have to question why they didn't admit you as a PhD applicant and just a masters applicant.</p>
<p>Do you live in NYC or at least around it in New Jersey? If you don't, you are looking at $30k+ tuition, $20k+ (at least) living expenses, so total around $50k a year so lowballing it, $100k for at least 2 years. More than likely you need to get your masters before they accept you into their PhD program, which again there is absolutely no guarantee of funding. </p>
<p>If you are really deadset on going to NYU, then do it, but keep in mind:</p>
<p>1) The finances are not so good. Even if you can cover tuition, unless you live in NYC or surrounding New Jersey area, you still need to take out loans to cover living expenses. This should be a major factor anytime you consider a Masters over a PhD program.</p>
<p>2) I speak from experience because I got admitted into NYU's masters (for pure math) last year and it just is not a great way to go about things. The department there is already saying, we don't think you are quite as qualified as our other students, so it'll be tough for you to catch up. Keep in mind, at least for pure math masters, you need to take standard courses that PhD students don't need to take. In other words, you will not start out taking prelim courses.</p>
<p>I hate to harp on the money issue so much, but it's really a lot of money. If you can afford it, then you should consider it, if you need to take out loans and you don't live around NYC, wow, wow, wow, please do not do it. This is coming from me who is on the waitlist at Duke and would probably get in if you turned down admissions, and I'm saying don't do it. </p>
<p>The best option, which might not be the most ethical, is to go to Duke or NW, do well, pass their prelims and then transfer. In all honesty, you might not like North Carolina, so wanting to live in a more diverse and larger city is not a BS reason to transfer. </p>
<p>Just my opinion, other people might disagree and I'm sure they will raise some good points and maybe even counter some of my points, but I just don't like the idea.</p>
<p>My best advice to anyone is go where the department believes in you and thinks highly of you. These people are willing to invest their money, time and effort to see you succeed. A masters without funding when you applied to a PhD is like, let's see if they can survive the lion's den and make it out alive, and then we'll consider them.</p>
<p>Whatever you do, I wish you the best!</p>