TITLE: Grad school & success in the long run
QUESTION [23 upvotes]: I am an undergraduate mathematics student at some university in Turkey. I am doing well in math classes. Actually, I did not study very hard in my freshmen year and I got not so high grades from Calculus classes but then in the following years I studied well and got high grades from Abstract Algebra, Real Analysis and Topology classes. But because of my university's policy, I just took 20 math classes until my senior year. Here are my questions: 
1) When I compare myself with a student in USA, I feel very inadequate. What should I do? How can I learn many more subjects?
2) Do I have any chance of acceptance to a PhD programme in USA? (For example, UC Berkeley) How can I increase my chance?
3) Finally, in the long run, do I have any chance of making a good contribution to mathematics? Because sometimes when I compare myself with others, I really feel inadequate.

REPLY [2 votes]: Many of my fellow math graduate students at Michigan State were Turks and went to METU. If you  are interested in Topology, you could try writing to Akbulut.