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I would not agree that there is "usually" no date on the paper. Most published papers do carry a date. The one you link to was apparently published in 2012. Manuscripts can of course come without a d …

Submitting your manuscript to the journal the original conjecture was published in is probably a good idea. After all, if the journal published the original conjecture, then the conjecture is obviousl …

This kind of typo is usually absolutely fixable in the proof stage. Just point it out like any other typo. Good on you to read your proofs carefully enough to find it!

After all, later publications of yours will not only connect in terms of your name as an author, but also in terms of subject matter, collaborators, affiliations... …

@posdef's comment is already very good. I would definitely suggest contacting the authors and trying to get exact agreement also on the details that they didn't describe in the original paper. The or …

In my reply to the referee, I will explain why I did C and why I think that approach C is better than A and B This is essentially all you need to do. You don't need to follow reviewers' recommend …

Reviewers can only recommend acceptance or rejection (or a major or minor revision). It's the editor's responsibility to weigh the reviews, along with the manuscript, and decide. After all, you will …

I'll give a few options that occur to me. Talk to the editor. Essentially ask him what to do. On the one hand he has a policy he wants to follow, and on the other hand he presumably wants correction …

First off: if you are not a full time student, it's natural that you will take longer than others (who I presume are full time students). Don't feel too pressured by this. Second, if you are involved …

Look for good publications, check which academic societies sponsor those publications, look whether they organize conferences. …

I'm doing what you are doing: performing a nominally research-oriented job in industry and publishing on the side. This and this earlier answer of mine may be helpful. To your questions: You should …

Identifying a research gap and reviewing a manuscript does not seem to warrant authorship to me. Things would be different if your colleague had also worked with you in designing the study, experimen …

I like papers about simple ideas. (I am writing one right now, hope others like it as well.) They are far easier to communicate and understand than complex ideas. Then again, the question is why nobo …

I agree with the other answers that it's a good idea to already think about what name you will use in the long term, and to strive for consistency - and that there are no "rules" you could break here. …

No, you absolutely don't need permission. After all, this is no different than extending the ideas in any published paper, and you don't need permission from such a paper's authors, either. (Suppose y …