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6
votes
4answers
395 views

How to start doing significant research?

I'm a graduate student in applied math (applied probability, asymptotic etc.). I have written several articles on either solving "small" problems, or developing particular methodology/techniques ...
21
votes
6answers
5k views

Is it ok if I haven't decided my research topic when I first meet with a potential phd advisor?

I'm currently in my last semester as a master student and planning to apply for phd degree. I'm going to have a first meeting with my potential phd adviser in a few days and I'm really nervous. All I ...
41
votes
4answers
14k views

Why do so many pure math PhD students in the USA drop out or leave academia, compared to applied mathematics PhDs in the USA? [closed]

I notice that many pure math PhD students, doing things like algebraic geometry or representation theory, drop out and enter industry and become software developers. The ones who finish their pure ...
1
vote
1answer
67 views

Online research projects [closed]

Are there any research projects in mathematics,data science etc undergraduate students can participate online? Have seen something like that? Well, I googled it and found something,but I need more ...
5
votes
1answer
765 views

How to know if my research problem is interesting or not? [duplicate]

I have completed my masters in mathematics. I want to pursue PhD in mathematics. I want to frame a research question and write papers in my field. But some questions are bothering me: How does one ...
2
votes
1answer
150 views

Career prospects for Math Finance researcher

I'm currently starting the first year of Mathematics Ph.D. program with intention to specialize in Mathematical Finance. I have noticed during the application process that this area is rarely ...
1
vote
0answers
173 views

After finding the topic how to discover research problem in Mathematics

I am at an early stage of my research in Mathematics. Recently I have found some papers related to my broad interest that I think I will be able to work on. However I am clueless how to find the ...
2
votes
2answers
297 views

Changing research interest in Math

I am currently in my final semester of masters. I have some background in Algebraic Number Theory. I have one PhD offer from a US university. When I started getting into algebraic number theory, I ...
4
votes
3answers
322 views

Research topics that gain importance quickly

For instance, there's currently a great deal of attention towards the theory of "spin glasses" in probability theory. But how does a research direction gain its importance so quickly? Does it simply ...
5
votes
2answers
443 views

My department has changed its favorite fields of research. What are the consequences? [closed]

When I was hired to a math department (in the US) my field was among the favorite directions in the department. Few years later the department decided to put more attention on some other areas of math....
0
votes
2answers
191 views

Research in computational neuroscience or computational medicine in Europe [closed]

How popular is research in computational neuroscience, or computational medicine in (mainland) Europe? I'm aware that INRIA in France does some good work, but do you know any other such groups and ...
27
votes
6answers
3k views

What are some good ways to figure out one's interests in mathematics, before applying to PhD programs?

Are there mathematics seminars to attend in the summer, or do they typically only occur during the academic year? I am referring to American universities. An idea I had last night was to YouTube ...
5
votes
1answer
363 views

Finding original research ideas/topics as an undergraduate student

I am currently an undergraduate student majoring in mathematics and biology. My plan is to combine both of these fields with the hope of somehow working with modeling infectious diseases through the ...
1
vote
1answer
362 views

Asking for help regarding Statement of Purpose [duplicate]

I am a Masters' student applying from India to US graduate schools for a Ph.D. in Mathematics(some of them are top departments like Stanford, MIT, UCLA, Berkeley, Illinois Urbana-Champaign). I wish to ...
0
votes
3answers
289 views

Finding a suitable research topic from outside academia

I'd like to find a suitable research topic (specifically, in mathematics) to work on, where 'suitable' means that it's publishable and amenable to being completed in, say, 6-12 months. While there are ...
8
votes
3answers
942 views

Should I choose a research field that I'm not really good at, but have strong interest?

I'm a first year masters student. Currently I'm doing coursework but I'll have research in second year. I find all subjects interesting. I feel better when I'm doing subjects including a bit of ...
8
votes
2answers
583 views

What are the 'objective circumstances' that one young researcher should take into account when choosing a research topic?

Premise: I originally asked this on MathOverflow, but it was pointed out to me that it could be better fit for Academia Stack Exchange. Note: I have received extremely varied advice on the following ...
10
votes
5answers
5k views

Should I leave my current PhD if I don't like the research problems my advisor suggests?

Warning: Extremely long post. Not really even the full story but one must stop somewhere. My problem is the following: I am a pure mathematics PhD student in (a remote part of) Europe and am part of ...
18
votes
3answers
1k views

Does one need a specific field in mind to apply to a PhD program in mathematics?

When applying for the PhD program in mathematics, usually, one is not required to specify in what field (e.g., PDE, dynamical system, etc.) he/she intends to do. However, I don't know whether it will ...