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25

To know whether you can do an applied math PhD, the question to ask is: did you succeed in difficult math, science, and computer science courses in undergrad, and do you have professors in relevant fields willing to write you a strong recommendation? General aptitude tests are dramatically less informative. This is not to say that, if you’re correct that you ...


9

I certainly wouldn't give up hope. The reason is that "number" per se is a very small part of mathematics. Quantitative reasoning helps in many things, of course, but there are lots of areas where it is less important than, say logical reasoning and a geometric sense (among other things). Mathematics is largely about abstraction and relationships, much ...


9

Looking at example questions in the quantitative reasoning section of the GRE, the questions are genuinely easy, and I would expect good high school students to be able to do well. A math PhD student scoring in the 63rd percentile is therefore very strange. I've never worked in math PhD admissions, but my reactions would be 1) why did you do so poorly? (...


8

Europe is not a country but a continent. The links you gave are from the university of Vienna, and the example of employed PhD students refers to a special program from the University of Vienna, so that is not even Austria-wide. Enrolling in a PhD program without employment can mean many things, for example it could mean you get no financial support what so ...


6

First of all, I don't think anyone knows if "quantitative reasoning" WAIS subscores are indicative of talent in higher mathematics. It's possible that you would make a lousy accountant but a good mathematician. You probably already know whether you're "good with numbers," and you surely already know that what you do in advanced mathematics doesn't have a lot ...


4

What exactly, do you expect us to do about it? Talk to the journal about whether it is indexed. Or use the manual entry process in google scholar.


4

ETS has quite a bit in defense of the predictive value. Of course, take it with a grain of salt. Still, I think you will find less issues with range restriction in their studies (or studies they cite). https://www.ets.org/gre/research/validity_evidence_predicting_grad_success https://news.ets.org/stories/gre-test-validity-putting-it-in-perspective/ ...


4

Working with what you have: Hard to obtain data A theory that you now know for sure is wrong Wrong in what way? "Can't show statistical significance" or "can show the opposite is true"? If you can say something definite such as that the opposite is true, then you can formulate a new model that's better than your old one (because it agrees with the evidence)...


4

Could the PhD position wait for a later starting date? Would the internship be open to a shorter period? Could flexibility on both sides be good enough to bridge the gap? I imagine that writing polite emails to both involved parties might go a long way to fixing your problem. It may be that funding restrictions do not allow the PhD offering university to ...


3

You said the error is small. Therefore the need for an erratum is small as well. Ideally you would publish the erratum, but if you have more important things to do, that is understandable.


3

Give yourself some time You just finished an important step in your career, which has presumably taken you between 3 and 7 years. Congratulations! For a while, it is normal to feel like celebrating your achievement instead of going on with everyday research and making important decisions. It is even more normal to have doubts about the next step. Try to ...


3

I just want to point out one example, it is a somewhat of a common story but I couldn't find any decent sources. Garry Kasparov is a titan of chess. He is one of the very bests if not the best. He had been the world champion for many years. Apperantly people used to estimate his IQ was between 180 and 190. He allegedly took an IQ test in the 80s and scored ...


2

I would say with quite strong confidence that the score on a test is insufficient to determine your ability in such a vast field as maths. Consider the following: All tests are imperfect. Some very intelligent people score badly and some very "average" people score highly A single sub-test bares little resemblance to most you will be doing in a PhD. E.g. ...


2

As someone who has a relative deficit in quantitive reasoning vs. verbal, but a strong interest in applied math, is it possible to be successful and competitive at the PhD level? You could succeed in fields like topological algebra or mathematical logic. I'm specifically interested in applied math. Consider also computer science. You should view it as ...


2

What you are feeling is very normal. Similarly, when a marathon runner completes a successful race they just collapse for a bit. The need for intensity has ended and the body and/or mind want a break. I'd suggest that you don't worry to much about the feeling, as it is very likely to pass in time. But, you have things you need to do to continue with your ...


2

Can anyone suggest a draft of the email that I can send to this Professor? Reply to the Professor's original email, so that your response appears in the same thread; perhaps include the original snippet, i.e., Thanks for writing and for the great ideas -- I see a lot of energy and promise in your thoughts, and I encourage you to try to pursue some of ...


2

I would suggest a slight variation to how you can present such work: Research Projects section in your CV. Give a short (1-sentence like) info about each research project and your contribution right inside the CV and include a link to your website, where these unpublished papers/reports are available. Reasons: you want to show the research experience that ...


2

Don't argue with your supervisor. It's not worth it. Your supervisor is likely a much more experienced academic than you, so his judgment of the situation is more likely to be accurate than yours. As mentioned, the differences are minimal. A good relationship with your supervisor will be very, very helpful in graduating. Given that you have little to gain, ...


1

Some programs are designed like that, start on MPhil and transfer at a suitable point to PhD. The suitable point is usually agreed with your advisor. You need to discuss with your advisor and plan accordingly.


1

I would structure a document entitled "On the non sustainability of the hypothesis that ...". This document could be a research report, a journal article, a thesis chapter, anything. While writing, the logic of the thoughts will unfold itself; perhaps you can even find that it is not true that all is wrong. All other reactions given in this thread ...


1

It is typical in the US that a student chooses a dissertation research advisor only after admission. Often it comes after a few years of advanced coursework that prepares the student to take comprehensive exams (qualifiers). Up until then, you may have an academic advisor (for advice) but without the fixed expectation that they will guide your dissertation. ...


1

I seem to be in quite a similar position to you myself. I have been working as a Mechanical Engineer in industry for over 10 years since I graduated and I have found myself becoming increasingly disillusioned by the repetitive nature of the work and lack of challenge. I feel like I am not really using my true abilities and not realizing my potential. ...


1

I have been reading here that a PhD can be a waste of time for people that do not seek a purely academic position. I doubt this is entirely true, and I suspect it is dependent on the field. What about research positions in industry or research centers? Here you have made a start ... I have already applied a couple of times for research positions in ...


1

I strongly disagree with user117219. When I started my PhD, I was not 100% sure that that was what I wanted; the PhD seemed like an OK option to me at the time. Now I'm an assistant professor, loving my job. Your mileage may vary, and it might not. No way of knowing in advance. If your personal finances can take the salary hit that comes with transitioning ...


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