[Pure Math PhD Program Applicant - Where should I apply?]

Hi!

 

I'm a domestic, female, minority (well, I'm not white) applying for Pure Math PhD Programs this fall. 

 

I did my undergrad at a top 30 Liberal Arts school with a graduate program (ranked top 20 private by the AMS), overall gpa 3.75. I double majored in Math (with Honors) and Economics. I graduated Magna Cum Laude and with a school-wide undergraduate research fellowship for my research in Experimental Economics, which I got published this past year. I also did a lot of extracurriculars. 

 

I am now doing a Masters as the same school in pure math. I will be finishing my degree at the end of this year, and will be doing a research project. I am interested in studying Topology in graduate school (geometric topology, low dimensional topology, and geometric group theory). I've also gone to a bunch of workshops and conferences while in my Masters program.

 

I will have one REALLY good letter from a well known mathematician, one strong letter, and I'm still figuring out the third (it'll probably be a good letter whoever it comes from). 

 

I kindof messed up my first semester of my Masters program last year (I did pretty not well in one of my classes), but I've rebounded since. 

 

But I got my GRE score back and it was a lot lower than what I expected, coming in around 30th percentile. =( I took the second exam in October too, and I expect that one to be higher since I answered more questions, but I won't know my score for a while. 

 

I'm now really worried about where I should apply to graduate schools. This is where I was thinking about applying:

 

Definitely Applying:

UC Santa Barbara

UC Davis

Boston College

Illinois at Urbana Champaign

Tufts University

Rice University

 

Probably Applying:

Georgia Tech

UT Austin

Indiana Bloomington

McGill

McMaster

Wisconsin

Ohio State

 

Does anyone have any suggestions about schools to apply to? Are there any schools I should automatically take off this list, or that I should add to it?

 

Any advice would be sincerely appreciated!