Hello all!
I am from a public state school and got an A- in Real Analysis I course. I have As in all the other recommended math and stats courses (Calculus I-III, Linear Algebra, Advanced Matrix Theory, Diff Eq, Math Stats (year-long sequence)) as well as all As in both undergrad and grad-level Economics classes (which include 3 semesters of advanced Econometrics and Macroeconomic Theory). I also have solid research experience in social science fields (no publications yet). I plan on taking stochastic process sequence as well as Real Analysis II, and will do my best to get As. I am also enrolled in graduate Micro Theory and Math Econ, for which I am positive I can get As. Do I still have a chance to get into a Top 20 PhD program with my current stats? Or should I retake Real Analysis I (which I don't mind) to replace my A- grade? I can't decide if retaking Real Analysis I or taking other math/stats classes would be a better idea.
Also, what other math/stats courses are recommended in addition to the classes I have taken? Can an A in Abstract Algebra weigh a lot on my application?
Thanks very much in advance!