The advice tag has no wiki summary.

**71**

votes

**19**answers

9k views

### Mathematical habits of thought and action which would be of use to non-mathematicians

Once again I come to MO for help with something I'm writing for the public.
Which habits of mathematicians -- aspects of the way we approach problems, the way we argue, the way we function as a ...

**15**

votes

**4**answers

3k views

### Maiden Names vs. Married Names

Is there a set convention for which name (maiden name or married name) a female married mathematician should use?
While this question addresses women's maiden name it applies equally to men's maiden ...

**48**

votes

**4**answers

2k views

### A question about MathSciNet etiquette

Hello,
Recently, a colleague of mine pointed me to a MathSciNet review of one of my papers that is completely off the mark - it is not negative or anything like that, but it grossly misrepresents the ...

**21**

votes

**3**answers

3k views

### how to use arxiv?

Hello,
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 ...

**7**

votes

**9**answers

2k views

### Mathematical Advice for Interested Highschool Students

This may not be a research level math question, but I believe it is still relevant to Math Overflow.
What general resources exist for students in highschool who are very interested in ...

**16**

votes

**14**answers

2k views

### Teaching a pedagogy course

At my institution incoming graduate students must take a semester long course on pedagogy taught by current grad students. I may soon be in the position of having to teach this course and I'm looking ...

**3**

votes

**1**answer

684 views

### Exact formula for the number of integers in an interval which are the sum of two squares.

Denote by $\lambda(n)$, the number of numbers between $0$ and $n$ which are the sum of two squares. Landau, and Ramanujan have proven independently, that $$\lambda(n) \sim \frac{n}{\sqrt{\ln(n)}}$$
...

**116**

votes

**8**answers

4k 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 ...

**9**

votes

**5**answers

2k views

### Is it OK for a referee to acknowledge identity with a previous referee?

As with this older related question, question anonymous for obvious reasons.
If I have been asked to review the same paper twice, is it OK to acknowledge in my review that I am the same person as one ...

**11**

votes

**7**answers

3k 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
...

**44**

votes

**8**answers

3k 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 ...

**24**

votes

**9**answers

3k views

### Can breadth hurt a job candidate?

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 ...

**55**

votes

**6**answers

2k views

### Good ways to engage in mathematics outreach?

Greetings all, I have often heard that it would be good if we as a community did more in the way of mathematics outreach: more to explain what it is we do to the community at large, more to expose ...

**7**

votes

**10**answers

2k views

### What advanced Area of Mathematics can be delved into with only basic Calculus and Linear Algebra

Hello Mathoverflow Community,
I would really appreciate some advice on this:
All I know is Basic Calculus and Basic Linear Algebra,
I want to start learning more advanced material on my own while ...

**8**

votes

**4**answers

3k views

### Non-mathematician submitting to top maths journal? [closed]

I am an amateur mathematician, and I had an idea which I worked out a bit and sent to an expert. He urged me to write it up for publication. So I did, and put it on arXiv. There were a couple of ...

**28**

votes

**3**answers

6k views

### Submission of a paper with a serious error to a good journal

I recently obtained (or so I thought) a good result, and after a month of reading and rereading what I'd written, submitted my paper to a very good journal. I'm early in my career (got my Ph.D. a few ...

**26**

votes

**16**answers

18k views

### Undergraduate math research

I believe this is the right place to ask this, so I was wondering if anyone could give me advice on research at the undergraduate level.
I was recently accepted into the McNair Scholars program. It ...

**18**

votes

**5**answers

2k 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 ...

**9**

votes

**2**answers

2k views

### Does it ever make sense NOT to go to the most prestigious grad school you can get into? [closed]

I'm a senior undergrad at a top-ish(say, top 15) math school. I'm a solid, not stellar, student. This year I'm taking the qualifying exam grad courses in algebra and analysis and have been taken aback ...

**82**

votes

**107**answers

26k views

### Most memorable titles [closed]

Apparently, for a large number of readers, the choice whether they select to read a paper or not is often strongly influenced by the title.
I was wondering if the MO-users would be willing to share ...

**88**

votes

**16**answers

22k views

### What's a mathematician to do? [closed]

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 ...

**4**

votes

**5**answers

3k views

### Technical phd after 33

Is it a good idea to get a math/stats/theoretical cs phd after 33 in the hope of becoming a professor? I am an electrical engineer who did his phd in EE at a low ranked school. I have been working in ...

**24**

votes

**3**answers

10k 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 ...

**16**

votes

**3**answers

11k 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 ...

**81**

votes

**7**answers

5k 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 ...

**95**

votes

**15**answers

10k views

### When and how is it appropriate for an undergraduate to email a professor out of the blue?

This may not be appropriate for MathOverflow, as I haven't seen precedent for this type of question. But the answer is certainly of interest to me, and (I think) would be of interest to many other ...

**29**

votes

**4**answers

2k 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 ...

**8**

votes

**1**answer

1k views

### website for jobs in applied or industrial mathematics (or financial math)

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!

**84**

votes

**14**answers

12k 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 ...

**29**

votes

**8**answers

8k views

### Modern algebraic geometry vs. classical algebraic geometry

Can anyone offer advice on roughly how much commutative algebra, homological algebra etc. one needs to know to do research in (or to learn) modern algebraic geometry. Would you need to be familiar ...

**67**

votes

**14**answers

4k views

### How do I fix someone's published error?

Paper A is in the literature, and has been for more than a decade.
An error is discovered in paper A and is substantial in that many
details are affected, although certain fundamental properties
...

**25**

votes

**7**answers

2k views

### Presenting a paper: Do's and Don'ts?

I was wondering what would be the best way to present your paper at a conference, if your paper is selected for "short communication", lasting for about 15 minutes?
Should you concentrate on the main ...

**18**

votes

**6**answers

2k views

### Yet another 'roadmap' style request- a second bite of the cherry

Okay, so I know MO has had a recent proliferation of this kind of question, and I know MO is not really for this type of question (though I suspect perhaps this is a phenomenon that is likely to ...

**7**

votes

**7**answers

4k views

### Undergraduate approach to learning math [closed]

I am going into my sophomore year as an undergraduate and I would like to ask the more experienced folks a couple questions about learning math and related things. What are your experiences and advice ...

**14**

votes

**2**answers

2k views

### Source of wisdom on how to improve the ratio of time feeling fulfilled to time feeling frustrated in research?

I thought I remembered reading something along the lines of the following advice in Littlewoodâ€™s Miscellany, but it doesn't appear to be there.
Researchers spend the vast majority of
their time ...

**16**

votes

**5**answers

3k 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 ...

**34**

votes

**8**answers

2k views

### Published results: when to take them for granted?

Two kinds of papers. There are two kinds of papers: self-contained ones, and those relying on published results (which I believe are the vast majority).
Checking the result. Of course, one should ...

**21**

votes

**3**answers

3k 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 ...

**10**

votes

**3**answers

1k views

### What to expect from attending an ICM?

Since ICM 2010 is due to be held in Hyderabad next august, and since I never attended such an event, I am wondering if those MO users who did attend at least one ICM could share some of their wisdom ...

**43**

votes

**6**answers

3k views

### What does it take to run a good learning seminar?

I'm thinking about running a graduate student seminar in the summer. Having both organized and participated in such seminars in the past, I have witnessed first-hand that, contrary to what one might ...

**23**

votes

**6**answers

2k views

### Oneupsmanship and Publishing Etiquette

Apologies for the anonymous (and, in hindsight, mildly longish) question.
I have an etiquette question on publishing an improvement of another author's work, but I figured a thread on the matter to ...

**25**

votes

**2**answers

8k views

### Digital Pen for Math: Your Experiences?

This question is similar to this question but with a slightly different purpose.
For many of the reasons presented in that question, note taking can be useful but tedious. Similarly, this question ...

**21**

votes

**6**answers

5k views

### Submitting to arXiv when unaffiliated

I am writing a short paper in the area of combinatorics.
When the paper is complete, I would like to be able to submit it to arXiv.
The reasons that I would like to submit to arXiv are:
To obtain ...

**22**

votes

**11**answers

5k 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 ...

**6**

votes

**1**answer

1k views

### In studying maths, do you tend to go through books one at a time? [closed]

Or do you read a lot of books on the same subject (say Topology)? Consider these two cases:
Case 1: Suppose you want to study point set topology. You pick up a good book and work thoroughly on it.
...

**16**

votes

**5**answers

1k 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 ...

**17**

votes

**8**answers

7k 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 ...

**12**

votes

**8**answers

2k views

### What is lambda calculus related to?

So I'm not much of a math guy but I've really enjoyed programming in Lisp and have become interested in the ideas of lambda calculus which it is based.
I was wondering if anyone had a suggestion ...

**19**

votes

**7**answers

5k views

### Advice on doing mathematical research

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.