I am a PhD student in pure mathematics from a lower-developed or developing country in the Asia region. I have two published articles in average-category peer-reviewed journals (one is in the Q2 category and the other is in the Q4 category, Scimago ranking). I have other preprints. These are some details about me.
Now I have worked on an interesting problem (few famous mathematicians worked in this area). I would like to evaluate my single-author research paper in some top-category mathematics journals like IMRN, Proceeding of AMS, Journal of AMS, Math. Annales, Pacific Journal, Advance in Math, etc.
I just want to evaluate my paper in a proper review. However, the editorial board in general filters some papers before allowing a proper refereeing process. This is where I have some questions.
Does an editor become skeptical when the author of a paper is a PhD student, compared to an established mathematician?
Does the editor look at the profile and publication quality of the author and decide whether to pass the paper for review?
Because it is difficult for an editor in half an hour to fully judge the paper quality. In such cases, can a PhD student's paper get less priority to them ?
I would appreciate to share your ideas regarding it. I hope many editors in mathematics are here.