So, I am an american mathematics guy and I am applying to PhD programs near NYC.
I have a B.A. in Math from a medium public school, pretty good overall reputation but nothing crazy.. GPA 3.1 with 4 C's. Two of those C's I made up over the summer and got an A in both. I did some independent study but nothing big.
I have an M.A.T. in Math & Math Education from same school as undergrad. GPA 3.65. Did plenty of independent study in educational psychology linked to mathematical teaching methods. Also took three grad math classes. Two A and one B. The main advantage here would be my enjoyment for teaching. Schools need their PhDs to teach, so having a student that has a strong teaching background is definitely a plus. NYU Astro chair said a strong interest in teaching is very advantageous.
I have an M.A. in Math from large public school, pretty good math department, ranked ~50. GPA 3.7. Concentration in Probability & Stochastic Processes, and Pure Math. Concentration GPA 3.95. I also have a thesis that I did during this masters titled "Economic Forecasting Using Stochastic and Poisson Processes."
I still need to take the GRE but last time I took it I got 800Q/600V. I am assuming this time I will still get perfect math, verbal should hopefully increase.
My letters of recommendations are from my thesis advisor & probability professor (I ranked #1 of 70 in her grad probability class), my cryptography professor (I ranked #2 of 15), and abstract algebra professor (I ranked about #2 of 15). They are all really great professors, really nice, and I enjoyed having them. I think they will reflect nicely and accurately on my passion for math and teaching it.
I do not have the time to take the math or physics subject test, and none of my schools require it. Its just not happening, I am too busy as a professor at a SUNY college. I really don't have a very strong physics background (classical mechanics undergrad, math physics grad, comp physics grad). But, I have done research in math and have three degrees with good letters.
I am curious ... can I make NYU Physics (research in astrophysics) or Columbia Astronomy? Neither program has qualifying exams, so I wouldn't be too pressed to make up for my physics background.