I am applying for a Pure Math PhD for Fall 2013.
I am currently in a Pure Master's program at my undergrad institution and should graduate May 2013 (assuming all goes well of course!).
My Bachelor's is in Pure Math and I am a white female student.
My GRE scores are V 610 (88%), Q 800 (94%), and Writing 4.5 (67%).
As a graduate student I have already taken:
Intro to Real Analysis (Pugh/Rudin) [A]
Topology (Munkres) [b, retaking for an A this fall]
Advanced Linear Algebra (Axler) [A]
Abstract Algebra (Lanski, studying Dummit and Foote for comp exam) [b+]
Complex Analysis (undergrad level) (Matthews and Howell) [A]
I will be taking:
Measure Theory (Bartle)
Topology (retaking) (Munkres)
Numerical Linear Algebra and Optimization (undergrad level) (Kincaid)
Complex Analysis (graduate level)
Mathematical Statistics
Numerical Solutions of Differential Equations (undergrad level)
I have an undergrad research paper that has been accepted for publication this fall. It is an applied modelling paper, which unfortunately is not my area of interest.
I have had my own precalculus class to teach for Fall, Spring, and Summer semesters, and feel very comfortable teaching (I really enjoy it).
I think I would like to research more in to abstract algebra. My school is more focused on the applied and statistical areas so I have not had much in-depth exposure to the areas I would like to study more. I have not had any courses in number theory or graph theory and not very extensive courses in abstract algebra.
As an undergrad, I was in Pi Mu Epsilon and Mortar Board. I took several years of French so I am not too worried about any language qualifiers.
If anyone had suggestions on schools that they know of being more geared towards the algebras or that have a good breadth of research areas in pure mathematics it would be greatly appreciated.
Here is a (very random) list of schools I am considering already:
University of Kansas - Lawrence
University of Minnesota - Twin Cities
Penn State
Dartmouth
Purdue
University of Nebraska - Lincoln
University of Colorado - Boulder
Thanks in advance for your help!