I am an international student from an unknown school with a sub 3.0 gpa. I am a CS major but I certainly have a deep interest for statistics grad programs. In the future I want to work on algoritmic trading and want to involve with topics such as time series, machine learning and other statistical techniques used in finance.
Some people I have talked with about this issue recommended me to get a PhD from a top 20 statistics program. But I don't have much math classes on my transcript, actually numerical analysis and ODE's are the most advanced math classes which I had. Also I had a traditional probability and statistics for engineers class.
Currently I am self studying through Walters Rudin's principles of mathematical analysis book and plan to involve further with math. I plan to self study undergrad level topology from munkres, abstract algebra from artin, and some advanced linear algebra and functional analysis may be some measure theory based probability etc. I can attend a university for these classes but it would be extremely difficult for me to manage it just because money constraints which I have. I have to admit that I learn better when I self study and I usually try to attempt most of the exercises in the books.
The problem is that I can't prove that I studied these topics except a good score in math subject gre test. But this test is not a good indicator of abstract math knowledge and most of the test is about calculus.
Does a good score from Math GRE carry a value in MS level admissions to a decent thesis based statistics program with some funding which will help me to get a PhD from a top 20 school later. I don't have any intention of applying to CS grad school because I do not want to get any systems related course as a requirement and majority of the classes I am interested in are mostly offered by math or statistics departments except some machine learning classes offered by CS departments.
So what is your point of view for GRE Math subject test results ? What score you love ? May be I can pay to a college some money for attending to one or two advanced courses such as differential geometry and a grad level real analysis course. If I do well on these courses in what level will they help for admission with some aid ?