<p>I am a second year undergraduate student majoring in physics in India. Lately, i have been finding mathematics much more interesting( I did a course on non linear dynamics and chaos) and now i may have a change of plans. I may want to apply for graduate studies in mathematics in united states. But that requires taking the GRE subject test in mathematics. I am comfortable with pre collegiate mathematics but then there will be questions on analysis,abstract algebra,topology etc regarding which i have got no idea. I may plan to take one or two courses on these before writing the test but then there are a whole range of topics which mathematics majors study . I simply cannot master all of them for i cannot afford to tamper with my grades. So, is it nearly impossible for me to get into one of those top mathematics graduate programs in UNITED STATES? What should i do? These thoughts have been frustrating of late.</p>
<p>Research experience is highly preferred on top…</p>
<p>Well so do you mean to say, you could get into a reasonable grad program in US even without writing the GRE subject test in maths, provided you do have exposure to undergraduate research? And well, being realistic, i do know that many students are involved in undergraduate research just for the sake of filling their resumes and getting into good grad programs but to carry out effective research at the undergraduate level you should have learnt a lot many maths areas both at the UG and PG level(Correct me if i am wrong).</p>