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Tell him why you're even more excited about the places to which you're applying. At University X, Dr. Y is doing groundbreaking work in Z, and has published three papers in Prestigious Journal With A …

I was successful in being admitted to top-20 Ph.D. programs in math in a similar situation. I had been out of school for 5 years, and I didn't do anything mathematically "serious" as an undergrad or i …

My impression, as a mathematician, is that "unhealthy" is subjective. For almost any graduate program, you are likely to find people who thrived in it. For example, you experienced the competitiveness …

I am an assistant professor supervising two Ph.D. students. Everyone in my department seems to be happy with this. It helps that there are senior faculty who are happy to give advice to me when neede …

will this be enough to get into a highly ranked PhD program? No. You might well be able to get into a highly ranked PhD program, and have your bad undergraduate grades overlooked. …

(Speaking as a math professor.) For one thing, I recommend working on a research project now. Don't worry too much about graduate courses; instead, do what successful grad students do: go to colloqui …

This could possibly hurt you. In grad school, and even more so as a working academic, you will be asked to do various tasks that you might disagree with. For example you might be asked to teach prec …

Whether or not this is prohibited depends on where you live. In the United States, almost certainly yes (+1 to Nicole Hamilton for her answer). My own personal belief is that what the professor propo …

You don't mention in which country the professor is located, but it sounds like you may have misunderstood the application process. His reply of "Please, apply mentioning my name" seems to indicate t …

If at all possible, I would ask professors at the institution where you finished your Masters. Some additional steps you might try: Try to find a list of publications -- for example, these may be on …

and if I am rejected will it affect for me when I apply for the same program next year? Yes, this is possible. The following might also be possible outcomes of a decision to plaigiarize: The un …

To the OP: I feel for you and wish you the best of luck. I know several people that have transferred to a different Ph.D. program after beginning one. In some cases this involved them substantially …

lack of funding, Here I think you can be straightforward. Probably the faculty are just as disappointed as you are. administration being uncaring towards students, I don't know exactly wh …

I would encourage you to reconsider your premise. In many cases it is possible to give an excellent, polished talk on unfinished research. This would be appropriate and welcomed by the audiences at ma …

which means that he will not be able to give input into PhD applications to university B This is incorrect. …