This is in reference to my older question: Will every PhD student from a reputed institute land a postdoc position?.
I have completed my master’s in pure mathematics and have got a funding for five years. I have been told that there are few faculty positions available w.r.t the number of PhDs generated (I don’t know if its really true).
How should I plan to do my research in order to get an edge over the others in getting a job?
Should I try to visit some famous universities (see if they accept me) and work with some very good advisors so that I get to solve a very good problem?
Should I try to get a breakthrough result even if it takes seven to eight years and complete my PhD in that? Because completing your PhD in less than five years and having no major result will push you back.
In other words how should I prepare myself to be better equipped in landing a postdoc and then a job as as assistant professor?
I am asking this because, no matter how passionate you are about mathematics, you need to find a job some day or the other to run yourself and your family.