Hello, my first post here.
I'm an international student, finishing now my bachelor with a GPA 8.5/10, which is a 3.44 in the 4.0 scale.
I'm interested in pure mathematics.
I haven't attended any summer schools nor done any research, so my CV is practically empty.
I am going to give the GRE, GRE Math Subject and TOEFL at September/November, and i hope that i will do well (expect the general gre, for which i will see only the quantitative section).
Some grades (10.0 scale) at classes of interest:
Calculus I/II/III 6/9/10
Linear Algebra I/II 7/10
Algebra/ Real Analysis/ Complex Analysis 6/10/6
Differential Equations/ Probability I 9/9
Fourier Analysis/ Topology/ Measure Theory 10/9/10
Number Theory/ Ring and Modules/Galois Theory/ Group Theory 7/8/10/10
Differential Geometry/ Differential Manifolds 8/9
I am thinking of applying at:
Cornell
Wisconsin-Madison
Urbana Champaign
Rutgers
San Diego
Northwestern
Georgia Tech
Austin
i) Is this list reasonable or should i go "lower" (propose any other universities, if so)
ii) I will have 2 reccomendation letters. I am thinking of getting the 3rd from a teacher that knows me quite well, but i havent written well in his classes 6/8/8. Should i get a reccomendation letter from him?
iii) Any other information would be helpful.
Thank You. Excuse my English.