# Questions tagged [advice]

This tag is for questions requesting advice (e.g. on a suitable publishing venue, presentation strategy, career move, ethical dilemma). It should be used in conjunction with a more specific tag, such as [journals], [teaching], [career], or [ethics].

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### Possible research topics for a beginner in Topological QFT?

I am highly interested in Topological Quantum Field Theory (TQFT) and am currently planning on doing a project on this topic this year. Some relevant background: Algebra (Groups, Rings, Fields, basics ...

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3
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### What are journal rankings that employers look at? [closed]

What are journal rankings that employers look at?
There are few questions on this topic already, but I don't think they fully address my question. Please close this one if it is not appropriate for ...

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2
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### Are there any undergraduate-friendly research areas in algebra? [closed]

I don't know if this question is more appropriate for the academia stack exchange, but I'm posting it here because it's more closely related to math itself.
I'm not actually an undergraduate, I'm a ...

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3
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### How to write mathematics without typing?

What solutions exist for mathematicians who need to write papers, but can't type? (I'm an early-career research mathematician and I can't type for the next few months.)

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### Tips for reading arXiv papers in mathematics

What tips do you have for reading arXiv papers in mathematics?
This could be too broad if I'm not careful, so here are some limitations on how to make the question appropriate for MO:
I'm interested ...

38
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7
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### Daunting papers/books and how to finally read them

Most people throughout their career encounter at least one paper that seems especially daunting to them.
I'm interested in real stories of how you successfully overcame that to extract the knowledge ...

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### Are there grants supporting sabbatical year in US? [closed]

I am a tenured mathematician at a university outside of the US. I would be interested to spend my sabbatical year in one of the US universities.
Are there grants I can apply to partially support my ...

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4
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### A starting point for research in Graph Theory as a high schooler [closed]

I am a 10th grader and I'm very interested in mathematics. As of now, I'm into math contests and I take great pleasure in solving problems from contests such as the AIME/USAMO/IMO. These only require ...

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### Where can I publish a paper about how to write mathematical papers?

I am thinking about writing a paper: "How (not) to write a mathematical paper." I want to share my thoughts and experience about good and bad habits, and common mistakes. While it will be a ...

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### What are some ways to stay engaged with the mathematical community from outside academia?

I will be graduating with a Masters degree soon in mathematics. For various reasons I have decided not to pursue a career in academia for now and will instead be working a job in industry that will ...

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### How to handle a research identity crisis

I have studied applied math and got a PhD (3yrs) in that field with applications in fluid dynamics. Then in my first postdoc (1.5yrs) I did again a postdoc in applied math but studied applications in ...

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### Advice on results for balls on regular $N$-dimensional grids

I have obtained some results regarding balls on regular $N$-dimensional grids. I would like expert opinion on wether the results are significant or interesting enough for (trying to) publish them in a ...

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### Research in mathematics without a degree in mathematics

This question might not make much sense or be a big deal for someone but I genuinely would like to know the opinions.
I am currently a software developer in a small start-up. I had to drop out of ...

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### Amount of mathematical knowledge required for starting Ph.D. in pure mathematics [closed]

How much mathematics should one know before starting a Ph.D. program in pure mathematics? For example what topics one must understand well to pursue a Ph.D. in US University in Number Theory (...

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### What do you do when you're stuck?

I'm pretty sure almost all mathematicians have been in a situation where they found an interesting problem; they thought of many different ideas to tackle the problem, but in all of these ideas, there ...

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### Advice on constructing a Non-structural Flood Mitigation Model [closed]

I am not sure if this is the right site to post this. But I seek some valuable suggestions, and I believe I can get them here.
At present, I am in the final semester of my BSMS Mathematics course. I ...

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### What should one do before submitting a paper?

Assume I just wrote a paper. Now I would like to publish it in a journal.
What kind of things I should do before its submission?
Should I first give a few talks at seminars or conferences? Upload to ...

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1
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### Use of singular pronoun "I" in the acknowledgements

I understand that in mathematical writing, it is standard to use "we" regardless of how many authors there are because it includes the reader(s). In the acknowledgements, however, it seems ...

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### How do I, as an undergraduate, find interesting, accessible questions to work on to see if I'd be interested in research mathematics? [closed]

For a little more context: I'm currently an undergrad (sophomore) at a small liberal arts college with a (from my experience so far) solid math program. So far, I've taken Calc I, II, III, linear ...

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4
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### Funding programs for mathematical research [closed]

In the USA, as far as I know, the main grants available to mathematicians are collected on the NSF or the AMS websites [please, correct me if this perception is inaccurate]. On the other hand, for ...

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8
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### What to do after a pure math academic path?

I don't know whether my question is in the appropriate place. I've studied physics, and then did a PhD in (pure) math and 2 postdocs. I definitely love math research, but I am not ready to apply all ...

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### How to get a research paper published after the author has died?

Sometimes, a mathematician dies suddenly, leaving behind very good mathematics that didn't make it through the publication pipeline. For example, it is possible they had a paper entirely ready to ...

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### How to pass on research posthumously

I've been independently researching math, for a while in the homeless community. While I am generally safe, situational realities (weather, equipment stress, health and especially how cities can ...

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2
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### Undergraduate research in Topological Quantum Field Theory

I'm really interested in Topological Quantum Field Theory (TQFT) and am currently planning to focus on it in my undergraduate thesis. My university, unfortunately, does not allow double majors in ...

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1
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### How does one build and refine strong technical skills relevant to research?

I am an early career researcher working in an area of "hard" analysis, but this is a fairly broad question. My technical skills are likely below par and my greatest hindrance to my research ...

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### Is it OK to send a manuscript to good mathematicians in the field of your paper even if they don't know you before

I am wondering if it is OK to send a finished manuscript to some mathematicians in your field for initial references or feedbacks in addition to just posting it in Arxiv, even if they do not know you ...

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### Publication Of 50 pages [closed]

Does anyone know of a research journal in mathematics that is willing to publish 50 pages of peer-review research? I would like to submit research that explores how to develop predicate models for ...

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### Advice on how to deal with an elementary "long-to-prove" statement

I am not entirely sure if this question totally fits here. If it doesn't, I apologise in advance.
In a paper I've been working on, we have a very elegant result which, when forgetting about the ...

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3
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### How can I seek help in preparing a very long research article for publication?

Some background first.
I recently graduated with a master's degree in applied mathematics. During graduate school I began working on a paper, which I continued to work on post-graduation. A complete ...

9
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3
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### Should every modern day mathematician care about category theory? [closed]

As far as I know, category theory is used mainly in topology. I have a dislike towards category theory, similar to my dislike of Bourbakism, and want to avoid it as much as I can. However, the head of ...

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### Math overdose? Professional advise how to cope with it [closed]

I'm a PhD student, currently working on my Thesis. Over the years I have many time encountered a problem. Maybe professional mathematicians know what I'm talking about?
When I study a math topic, ...

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487
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### Rejection of a paper because of not suitable level of rigor without a single example of a mathematical error/imprecision [closed]

Question 1. A paper was rejected because of 'not suitable level of rigour' without a single example of a mathematical error/imprecision. What can the author do in this situation?
It sounds a matter of ...

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1
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### Advice: What topics to study now in analytic number Theory( And if there are video lectures( Open Online course) / Course notes available on website)

I am a person living in a 3rd world country and completed my masters in mathematics in July 2020. Then I began to study some additional topics in Pure Mathematics as I was applying for Ph.D. abroad( ...

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1
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### I want to enter graduate school in pure math. Is doing REU in “mathematical modeling” a good idea? Is it an essential skill to learn?

(please let me know if this question is not suitable here)
Hello! I'm an undergraduate rising senior majoring in mathematics and it seems that I got rejected by an REU that is held in my university ...

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### Soft Question: Asking for advice: how to study math? [closed]

(I am aware that some people might frown on this question, but I had no place to ask; this will definitely be voted to be closed in SE. I apologize in advance.)
I am currently a 1st year grad student ...

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1
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### Applying Phd directly after undergraduate [closed]

I'm a math undergraduate and I'm about to finish my second year at UCL. It's time to consider my graduate school, and I have some questions about it. In the UK, many universities provide math PhD ...

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### How to structure a proof by induction in a maths research paper?

I am 16 years old at the time of writing (so I have no supervisors to seek advice from) and I have written a mathematics research paper, which I plan on submitting to a journal for publication. I ...

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1
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### How bad is it to publish a paper with an overcomplicated proof?

I don't want to go into details for anonymity purposes, but I have co-authored and submitted a paper with a long proof (dozens of pages), and I think that with some moderate effort, we could find a ...

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1
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### What qualities and achievements can outweigh bad grades? [closed]

I will try to formulate my question so that the answer is not opinion-based.
My question: Considering a undergraduate math student planning to pursue a PhD program, what qualities and achievements can ...

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### How difficult will it be to start doing research in pure mathematics in the near future? [closed]

I am a first year PhD student in mathematics (complex differential and Kahler Geometry) and the other day I had a thought about the difficulty of starting to do research. This is my first post here ...

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8
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### Need advice or assistance for son who is in prison. His interest is scattering theory

The letter below is written by my son. I have been sending him text books and looking for answers on the internet to keep his interest up. He has progressed so far on his own and now he needs ...

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1
answer

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### Is it possible to get into graduate school for math with a non-math undergraduate degree? [closed]

I'm an undergraduate biology and chemical engineering dual major student. I recently got interested in pure math while I was researching patterns in biology which lead me down the rabbit hole of ...

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1
answer

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### Referring to computer software in a paper

I'm performing a calculation of the Smith normal form of an integral matrix based on the SageMath worksheet. Is it sufficient in the paper to say something like "Using a software package like ...

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1
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### Advice for PhD in Algebra [closed]

I hope that this question is okay to post here.
I'm in my final year of my master's degree in Sweden, and I'm starting to feel that some doors are closing in regards to applying for a postgraduate ...

3
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1
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### How much algebra is preferable for studying/doing research in dynamical/complex systems and networks

I asked this question earlier on Mathematics StackExchange (link), but I think it might be better to put it here.
This question seems quite broad to ask...
The situation here is that I'm a second-...

8
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1
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992
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### Is it possible to jump ship to mathematics?

A few years back, I did an undergrad double major in math and physics, and afterwards went to a top-tier university to work on a physics Ph.D. Around about my third year of the Ph.D., I started to ...

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2
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### Need for support and guidance for my near future as a PhD student (or: has stable homotopy theory become an overly algebraic theory?)

The question in brackets in the title is my main mathematical question, but does not reflect my initial motivation for writing this post. It is in fact above all for personal reasons that I'm ...

36
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5
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### Advice for researchers outside academia

Perhaps some personal background is relevant to this question. A couple of years ago, I graduated with a master's degree in Applied Mathematics from a good Dutch university. Even though I obtained ...

11
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2
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### Publishing undergraduate research

Sorry if something like this has already been asked, I searched but I couldn't find anything similar to my question.
I'm a senior undergraduate and currently doing my senior thesis. My senior thesis ...

8
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1
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### Online study groups for individual mathematical texts

This has been one of my earlier academic dreams. I have pitched the idea to Prof Ravi Vakil, among others. Recently, because of participation in the mathematical competition hosted by Alibaba, I have ...