What math PhD programs am I competetive in with a 750Q and 660V on the GRE?
I graduated magna cum laude with a 3.78 GPA (3.80 math), bachelor's in math. I have various awards in the math department (including outstanding service to the math department, given to only 1 student/year), a NIST REU, a NASA internship, and honorable mention on the COMAP Mathematical Contest in Modeling. I have not yet taken the subject math test. I have TAed as an undergrad (Integral Calculus, Vector Calculus and Foundations of Math) I also have various other extracurriculars and jobs showing leadership. I have a year of analysis and a year of abstract algebra, and semesters of combinatorics, combinatorial game theory, and probability, all with A's or A-'s. I am taking graduate level real analysis 1 in the fall.
I understand that I probably am not a top 10 and probably not a top 20 candidate, unless I ace the subject GRE. If anyone experienced with graduate admissions can let me know where I'm competitive and what else I should do to strengthen my application, that would be wonderful.