I don’t know whether it would be a good idea to seek solution for some personal problem here. But as there’s no harm in asking I’m putting it under the soft tag.
It’s about forming a career in mathematics for an individual like me for whom morning didn’t actually show the day. It not before 14 that I actually got interested in Mathematics when I choose (don’t know why) ‘Mechanics’ as my optional subject. Earlier to it I had a consistent mediocrity in the subject. But everything started to change ever since Mechanics came into my way. I started to realize the scope of the subject & the harder problems started to drive me crazy. I fell in love with Mathematics & my performance started to increase at a consistent level. Ever since I’m with it and today I’m very happy with my decision with a dream of being a mathematician. Right now I’ve completed my master in Mathematics with a high grade with a dream of having a PhD from some reputed institution.
But now as I’m preparing for the competition exams like NET (sample question), NBHM (sample question) or ISI (sample question) for pursuing PhD, I began to feel that I’m slower than I should be. Many a time, the solution of a problem occurred to me much later than others (preparing for the same). Even when I found the trick for a solution I didn’t get why I took so much time to crack it. But I think how fast someone crack problems determine his career in the field. All this things have provoked me to present my questions in the forum:
Does all this happen because of a lack of talent or because of a Mathematicians are designed from the childhood in some other way?
Can my mathematical skill be improved to a Mathematician's level?