Hi all,

I am a recently graduated student with a bachelors in a non-quantitative degree (finance) at NYU with a ~3.6 GPA. I'd always been interested in mathematics but had opted for finance because I was lured by the prospects of making big bucks. Over the last year, I've rekindled my interest in mathematics, but unfortunately I don't have much paper background to show for it. In the past two years, I've done a lot of independent study, as well as having taken courses as a non-matriculated student at a local CUNY college. While its not much, here is my background in math:

1. A in undergrad real analysis 2 (text: Carothers) //I was able to plead the dept head to let me skip analysis 1 as I had previously self-studied all the content

2. A in undergrad algebra 1 (text: Fraleigh)

3. Audited course in graduate analysis I (text: Royden) //I also sat for the exams and received A's

I received a 100 average for all exams, and all the professors are willing to write good recommendations for me. I've also since then independently studied analysis on manifolds (munkres), topology (munkres), and currently working my way through introductory functional analysis (kolmogorov).

Clearly, my current background is not strong enough to get accepted to any phd program so my guess is that my best route is to get into and excel at a math masters program and apply/transfer to a phd program from there.

There seems to be a wealth of information on phd programs, but not as much for masters, and not many schools even seem to offer terminal masters programs. I have not yet taken the math GRE subject test, but assuming I can score in the 60-80% range, what caliber of math programs can I realistically be accepted to? My dream school would be Stony Brook, but how competitive is the masters program for a school like that?

Any other advice for a non-traditional student to break into math grad school would be greatly appreciated as well! Thanks for all the help!