All Questions
71 questions
338
votes
16
answers
159k
views
What's a mathematician to do?
I have to apologize because this is not the normal sort of question for this site, but there have been times in the past where MO was remarkably helpful and kind to undergrads with similar types of ...
175
votes
8
answers
20k
views
How to escape the inclination to be a universalist or: How to learn to stop worrying and do some research.
As an undergraduate we are trained as mathematicians to be universalists. We are expected to embrace a wide spectrum of mathematics. Both algebra and analysis are presented on equal footing with ...
158
votes
8
answers
7k
views
Resources for mathematics advising.
This question is possibly ill-advised. (If it is not right for this site I will delete it.)
I, suddenly, have students.
It is very clear to me that there is nothing in my education that has ...
136
votes
14
answers
29k
views
Careers advice for Ph.D.s without current postdocs or university jobs
Hi,
I'm sure I'm not the only Ph.D. mathematician on MO in serious need of career advice. I'm sure there will be other readers in similar situations, who will find any good advice very helpful. Can ...
75
votes
7
answers
19k
views
What items MUST appear on a mathematician's CV?
Writing a CV makes me paranoid that I'm failing to abide by unwritten rules. Of course CVs are flexible to capture the diversity of accomplishments someone might have. But there must be plenty of ...
74
votes
8
answers
14k
views
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 ...
59
votes
10
answers
12k
views
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 ...
55
votes
5
answers
49k
views
Advice for pure-math Phd students [closed]
Pursuing a Phd in pure math can be a daunting task. A number of students who begin a Phd in pure math don't complete it, and there are high-quality dissertations and those which are not so high ...
54
votes
8
answers
6k
views
Proper way to deal with papers you've already refereed.
This question is anonymous for obvious reasons.
I referee what feels like a decent number of papers (though I don't know how many is normal!), and I try to take it seriously. Sometimes, based on ...
53
votes
8
answers
11k
views
Publishing a bad paper?
First, I apologize if mathoverflow is a bad fit for this question, but it is the only place where I can think to get advice from professionals given my circumstance. I'm also sorry about any vagueness ...
49
votes
4
answers
6k
views
How much reading do you do before you attack a problem?
When going off on a tangent from your regular area, where, presumably, you have such mastery of all cutting-edge research from your routine reading that you hardly need to do any extra (if this is ...
49
votes
3
answers
13k
views
how to use arxiv?
This is a soft question. How do people usually use arxiv to put their papers? At which stage does one usually put his/her paper/report there? Someone suggests me to submit a paper while putting it on ...
44
votes
3
answers
10k
views
Publishing a Simple Paper as an Undergraduate
First off I apologize if this question does not belong here, I would be happy to hear about any better locations to post this on.
I am a (first year) undergraduate mathematics student, and I recently ...
43
votes
11
answers
8k
views
Research topics restricted to students at top universities?
Hello everybody.
I am a Ph.D student in North America looking for advice about my prospective research area.
My supervisor works in a research area, let's say area A, so as soon as I was accepted as ...
43
votes
8
answers
7k
views
Should one attack hard problems? [closed]
When I applied for a PhD student position I had an interview with two professors. Somehow we touched the problem if $P$ is $NP$ and, once we got there, for some reason both professors made it clear ...
39
votes
3
answers
4k
views
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.)
- 401
36
votes
3
answers
29k
views
What counts as an 'invited' talk?
When you write your CV, what do you count as an invited talk? Does it count if you're invited but not provided funding (this has happened to me several times at AMS special sessions)? What if someone ...
33
votes
3
answers
25k
views
How to transition from pure math PhD to nonacademic career?
I'm finishing up a PhD in math and am thinking about options outside of academia. So far, I've really only focused on pure mathematics, but I have a year left of grad school. Suppose I am interested ...
31
votes
19
answers
7k
views
Research-only permanent positions worldwide
Most academic jobs involve some amount of teaching. Post-docs generally do not, but they are only short-term positions.
Question: in which countries can one obtain a research-only permanent ...
31
votes
11
answers
9k
views
Switching Research Fields
I am a recent PhD specializing in algebraic geometry. But I also want to do research in some other areas of math (e.g. quantum computation, compressed sensing, and PDE's). What would be a good way of ...
31
votes
7
answers
14k
views
Advice on doing mathematical research [closed]
Please share any general tips or advice you have on doing mathematical research.
How do you identify good problems to work on or to think about? What do you do when you get stuck on a problem? Etc.
31
votes
6
answers
8k
views
Pros and cons of specializing in an esoteric research area
If a mathematician specializes in a popular research area, then there are many job positions available, but at the same time, many competitors who are willing to get such job positions. For an ...
31
votes
5
answers
6k
views
Beginner's questions on the post-doc application
I am going on the (research oriented) post-doc job market (mainly in the US) this winter and would like to ask some questions. I am aware of the site http://academia.stackexchange.com, but I am ...
29
votes
9
answers
4k
views
Can breadth hurt a job candidate? [closed]
I am a junior mathematician, currently on the job market. I have been involved in a number of projects spread over several very different topics of mathematics, some being very mathematical projects ...
29
votes
3
answers
4k
views
Etiquette of publishing folklore results
I am wondering what is the etiquette of publishing a "folklore" result?
Though special cases of the result are well-known, the proof is not readily available in any reference text or paper I've seen....
26
votes
5
answers
3k
views
Presenting work in progress [closed]
At some point in the evolution of a project, one has to decide when to start talking about it in seminars and at conferences. I am interested in hearing about how other mathematicians make this ...
26
votes
2
answers
2k
views
When a journal doesn't give your work a fair chance [closed]
There is no way around the fact that determinations about the relative contributions of papers and journal acceptances will always be highly subjective. In addition, editors and referees are busy ...
24
votes
3
answers
5k
views
How do you make a good math research poster for a non-mathematical audience?
I have the opportunity to prepare a research poster for a non-mathematical, yet scientifically savvy audience, and I want to do it well. I have asked a few mathematicians, and I have heard the ...
24
votes
3
answers
2k
views
How to assess research "impact" for tenure/promotion committees
Over the last several years, the college-level promotion & tenure committee at my university has increasingly been seeking to apply "objective" criteria for assessing the impact of candidates' ...
23
votes
5
answers
7k
views
Moving to academia from industry
I hope that the following question is suitable for MO. There have been several others in a similar vein, including this one about moving from maths into industry, this one about careers advice for ...
22
votes
7
answers
3k
views
Where to find (personal) motivation [closed]
I think it would be appropriate to make this question CW...
It is likely that this question will not survive here on MO for long, but I do hope that the community gives it a chance. I also hope to ...
22
votes
6
answers
2k
views
When to split/merge papers?
I ran into the following problem. I have some lengthy paper in which I develop some theory to attack some problem. While I was working on this paper, I got some nice result which might interest a ...
19
votes
10
answers
6k
views
Research Experience for Undergraduates: Summer Programs
Some time ago, I found this list of REU programs held in 2009.
The main aspects that characterize such programs are: (a) a great deal of lectures on specific topics; and, admittedly more importantly,...
19
votes
2
answers
5k
views
Training towards research on birational geometry/minimal model program
Being a not yet enrolled independently supervised graduate student in mathematics, with prospects of applying to American graduate schools hopefully in a 1-2 years' time, I have a background of having ...
- 1,335
18
votes
5
answers
5k
views
Advice on changing topic for thesis problem
I am starting to find my thesis problem not meaningful nor interesting and too technical. As I learn more mathematics I am finding myself attracted to other topics and only started on my intital ...
17
votes
2
answers
5k
views
How to make the move to a research university from a liberal arts school?
Some mathematicians are in positions that emphasize teaching at predominantly undergraduate colleges but find themselves desiring positions at research universities. This may happen because their ...
17
votes
2
answers
2k
views
Research and exposition: how does writing "basic" books affect your "serious" research work?
I can see the benefit of writing a mathematical monograph: you revise and organize your own work and recollect the key ideas of your own research. But this applies only to books aimed at researchers ...
17
votes
3
answers
4k
views
Contacting an eminent mathematician
I have recently started a PhD. and am researching an area that two now eminent mathematicians devoted considerable time to in the 1980s. However, there appears to have been fairly moderate focus on ...
16
votes
4
answers
3k
views
How important is it for one on the job market to have thought about suitable REU projects?
An REU is a "Research Experience for Undergraduates" and entails undergrads (usually after their junior year) coming for 8-10 weeks out of the summer to University X to learn about and work on a ...
16
votes
6
answers
17k
views
Curriculum vitae: including grants you've applied for, not received (or not yet received).
I've heard from multiple sources now that one's CV should include grants you've applied for, even if you didn't receive them or won't find out if you've received them until after your CV goes out. I ...
15
votes
3
answers
2k
views
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 ...
15
votes
6
answers
2k
views
What does keep you "doing what you do"? [closed]
I am towards the end of my Phd (with some difficultues to overcome, I can say I am really satisfied about it) and I was wondering about what to do next. There are basically two paths: academia or ...
- 835
13
votes
2
answers
3k
views
Is it possible to get another math PhD
My undergrad being in a field other than mathematics (and not in the US), I couldn't get into the Princeton/Harvard/MIT tier of universities for my math PhD. I settled for a lesser program and got my ...
12
votes
1
answer
651
views
What would you do if you improve your own result that is submitted but not published?
Here is a hypothetical situation:
You have proven a result and written up a paper about it. You have submitted your article to some journal and it is being reviewed.
While you are waiting, you have ...
12
votes
0
answers
819
views
State of research in moduli space of flat connections
I am a recent PhD student trying to settle into a research topic. Even though I have a current project I am working on, I am not particularly enjoying it and would like to switch. Before braving the ...
- 627
11
votes
1
answer
1k
views
Use of an appendix in a long paper
I am writing a long paper (around 100 pages). I would consider 50 pages of it interesting in that it solves a problem of some significance in my field and contains an number of difficult ideas in the ...
10
votes
7
answers
5k
views
How to/Can you get a PhD position when you need more experience first?
My friend loves mathematics and wants to continue research as a
mathematics PhD student, but this doesn't seem possible!
She did a prestigious but inadequate bachelors program (almost no math) and
...
9
votes
1
answer
2k
views
website for jobs in applied or industrial mathematics (or financial math) [closed]
What are the websites for general position in applied or industrial mathematics(or financial mathematics) related jobs (that is if we have to find a non academic job temporarily) ?Thanks!
9
votes
1
answer
1k
views
How common is it for universities to create new positions for dual hires?
Let's say you happen to be a mathematician, and your spouse is also an academic and in a humanities field in which there are very few jobs advertised. Assuming that you can convince universities to ...
8
votes
3
answers
2k
views
Switching tenure-track position [closed]
I have a tenure-track position at a research university (among top 20 in USA) in a decent city. This has been my fourth year as a tenure-track. I still have not heard from my department regarding the ...