As a sequel to my previous post “ Redundancy of letters of recommendation for scientific and mathematical majors”, I wish to ask a relevant question.
I have been informed that a master’s student of mathematics is not required to have published a paper in order to be admitted to a doctoral institution. However, my applications all experienced rejection so I am trying to write my first paper.
However, my knowledge in mathematics is limited and in a limited time I cannot come up with an impressive result. On the other hand proving a small result and having it published is against my scientific principles, but I think I will finally do it.
Is it possible that a high gpa (19.5 out of 20), a simple published mathematical paper and a good TOEFL grade, but not good letters of recommendation or lack of letters of recommendation will guarantee admission to a top-tier university?