So... I got a 730 (72%) on the GRE math subject test.
I have a B.S. in physics from one of the top schools in the US with a GPA of 3.7/5.0.
I have also taken graduate level classes abroad in engineering and statistics with a GPA of 3.7/4.3.
Right now, I'm taking graduate level classes in real analysis, abstract algebra, and mathematical methods in science (basically linear algebra) in the US.
In addition, I am the third author in a material's science paper on multi-scale modeling that will be submitted for review within the next month.
My letters of recommendation will be coming from the professors who are currently teaching the classes I am taking, and the first author of the paper I am working on.
I'm not sure which schools I may have a chance of getting into and which ones I should give up for sure.
Could someone give me a realistic range of which schools I should be looking at?
Also, does it hurt to list "undecided" for specific field of interest in the applications?
Thanks in advance.