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42

I'm a pure mathematician, and my first impression is that your question seems to be assuming a dichotomy in pure mathematics that isn't really there. The vast majority of pure mathematicians, it seems to me, at times have to deal with abstract structures and do the sort of "thinking and reasoning" with them that you've seen in your analysis and group theory ...


17

If your alarm bells are ringing, but the offered position is attractive, then there are ways to check it out without causing problems. Example: The person who's name is on this invite will have contact information outside this particular email. A phone number or email that you don't get from this email, for example, but from their institution or some such. ...


11

Is that normal, or should that ring some bells? It is normal to have received an e-mail inviting me to join the program committee even better that it is for a well-established and renowned conference and that it looks genuine Personally, I would have already accepted the invitation. However, I do not directly know the guy writing to me That's ...


11

It is not really clear to me where you draw the line between "reasoning" and "trick". I can assure you, though, that pure mathematics gets very abstract and very theoretical very quickly. What skills are necessary: First of all, you will be frustrated very often and you need to "like" that (a mathematician is somebody wants to be frustrated, rather than ...


8

Welcome to the forum! A mathematician, I forget who, once jokingly remarked that applied maths was like the dark side, because applied mathematicians had more money and dressed in cool clothes, whereas pure maths, well, you get the drift, I'm sure. (I think he was joking, at least). Studying pure maths can be extremely satisfying, intellectually if not ...


6

Passion will not make you a successful PhD student. Health problems will prevent you from being a successful PhD student. I suggest you find a job that is relevant to physics. Considering your interests and the current job market, maybe a job in data science? Demonstrate over a period of at least a year that you can be successful at that job. Study ...


4

As for all CVs, they get less important in time. If you're applying for graduate study straight after undergraduate, they're good to list. Your acheivements at this point are likely to be from academic performance, rather than from independent work. When you've completed the graduate programme, no one will care that you came top in Module X in your second ...


3

A department will only issue one best MSc dissertation and top of year award per year. Perhaps even to the same student. So, the number of such awards are scarce and shouldn't be expected of every student. Of course, lesser awards, such as top mark in a certain module, are more common, but they're less prestigious and may be omitted. Scholarships or fee ...


2

Select Ph.D. over D.Eng. In a job application, you want to make it as easy as possible for the reader to understand your qualifications. Ph.D. is well known. D.Eng. Is obscure.


2

Your observation is contradicted by virtually every researcher's CV I get when assessing grant proposals (natural sciences). People list their prizes as appropriate for their level (a professor will not list anything that happened during undergraduate studies, for example). The CV of Ulrich Schubert is quite representative here. As he is one of the most ...


2

My guess is that you could move without a lot of turmoil. As you describe your background it seems pretty solid. But you could try an intermediate approach first. I'm assuming you are still active. I suggest that future papers be in English (or some European language) and submitted to journals there. I also suggest that you make sure to reference your ...


2

I am thinking about following another Master's degree in applied maths...The courses include measure-theory based probability and more challenging statistics, in which I am interested. You don't need another degree to research the theoretical aspects of machine learning (instead of the application). During research, you can study any aspect of mathematics ...


1

Although this is not directly answering the OP’s question (I agree with a previous answer that the question presents a false dichotomy of mathematics), my answer aims to shed light on what mathematics is and is not. Mathematics is an art-form and at the heart of this art-form is proof. Whereas science relies on evidence and the scientific method, ...


1

No, I could not in good conscious advise you to start from scratch just because your publications are not in English, especially given that you clearly have mastery of the English language. What you need to happen is to be judged for the work that you've done. Here are two options: 1) Create a detailed summary of each of your papers, in English, to go ...


1

Long term, the two of you need to make the choice: Better in or out? This will require some careful, serious, evaluations. For example: Raising children is probably a poor idea while the two of you are living in different countries. Are children important to you? Is the financial situation acceptable? How about the in-law families? And so on. You two should ...


1

What is the value of a degree? It proves two things, one you have a certain set of knowledge or skills and two you can do work at a certain level. So a second degree is worth less than the first because you've already proven you can do work at that level. The only value of the second degree is learning the new knowledge. But you could get that knowledge ...


1

This isn't true. Awards such as top of the class ("Bronze Tablets") are often listed by the GPA under the "education" heading. Undergraduates, especially in engineering, will often include "relevant" or "selected" course work that will highlight interesting projects.


1

From my very limited experience, I would say universities that participate in TEF would care about having academic staff with HEA fellowships (and there are many levels of fellowship). In my view, getting one will only work in your advantage. For what it is worth, I have been asked about having/willing to get the accreditation during job interviews, so I ...


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