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11
votes
2answers
574 views

Which way for reading the proofs?

I am a master student in mathematics. For me a large part of doing mathematics is thinking about, reading and verifying the proof of theorems that I find them in my field of study. I can do this ...
1
vote
1answer
230 views

What would undergraduate research consist of? [closed]

For undergraduate mathematics students looking to go to grad school, what kind of opportunities are open for research? I would assume undergrads would not be under any pressure or obligations to write ...
7
votes
1answer
685 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
7answers
1k 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 ...
20
votes
0answers
479 views

Good ways to organize old personal mathematical resources

I am wondering how the other Mathematicians organize their old mathematical resources, like calculation drafts, class and seminar notes etc. These old resources may be related to a wide range of ...
1
vote
1answer
209 views

Submitting lecture purposal to conferences. (lecture about a thesis) [closed]

I wish to consult with you about something: I have recently given a lecture about my master's Thesis in a local conference organized by my advisor. The subject had a lot to do with algebraic geometry ...
4
votes
0answers
246 views

Design slides for presentation (conference talk) [closed]

Question: What are approved guidelines for design good slides for a conference talk, especially with focus on mathematics? I'm aware of the following, general best practices for holding a ...
25
votes
5answers
8k 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 ...
5
votes
2answers
459 views

Mazur's torsion theorem on elliptic curves and its generalisations

I want to study Mazur's torsion theorem for elliptic curves over $Q$ and its generalizations for number fields, i.e., papers by Kamienny, Kenku & Momose, Filip Najman. So please suggest to me what ...
41
votes
18answers
5k views

How can an extremely mathematically talented young person be helped to fulfill his/her potential?

Obviously, this question is not a research level mathematics question at all. But, I've just met an extremely mathematically talented 11 years old student and I don't know how I can help him. For ...
10
votes
2answers
1k views

How difficult will it be for me to switch fields (details below) after my Ph.D. in pure mathematics?

I'm a first year postdoctoral researcher, working in pure areas of Riemann surfaces and differential geometry, after just finishing my Ph.D. in 2013. Recently I've also started taking interest in ...
41
votes
15answers
5k views

How does the work of a pure mathematician impact society? [closed]

First, I will explain my situation. In my University most of the careers are doing videos to explain what we do and try to attract more people to our careers. I am in a really bad position, because ...
6
votes
3answers
805 views

How to Discover Counterexamples and Required Objects [closed]

What are strategies or tips, which research mathematicians have discovered through their work and experience, that would help undergraduates learn how to discover counterexamples or find an object on ...
23
votes
3answers
1k views

Is “problem solving” a subject to be taught?

I am witnessing a new curriculum change in my country (Iran). It includes the change of all the mathematics textbooks at all grades. The peoples involved has sent me the textbook for seven graders (13 ...
4
votes
1answer
1k views

Preparing for Set Theory Research

Is reading Jech's text on Set Theory too little, just enough, or overkill to prepare oneself to do independent research in set theory? This would be my first attempt at doing independent research ...
11
votes
2answers
1k views

What´s essential to learn about complex spaces and several complex variables for an algebraic geometer?

Hi, I don´t know if this question is suitable for this site. The field of several complex variables is too broad, so I would like to know what´s essential to learn about complex spaces and several ...
10
votes
0answers
361 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 ...
21
votes
9answers
3k 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 ...
12
votes
2answers
2k 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 ...
22
votes
7answers
3k views

Should one attack hard problems?

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 ...
7
votes
2answers
2k views

How should a professor feel peace of mind when a student leaves academia? [closed]

I apologize if this is the wrong forum for this question -- if so, could somebody please point me to the correct one? I'm a professor who recently started advising graduate students, and I'm trying ...
9
votes
0answers
367 views

Where to find NSF Reports (For mathematical expository purpose)? [closed]

This is not asking about how to apply for funding. I just find that some NSF funding report (near the end of the funding cycle) is quite interesting read. In particular, it's almost like a research ...
3
votes
1answer
638 views

Math major at 36 [closed]

I decided to go for math at 36. Is this idea possible? I studied literature, political science and international relations and still I am not really sure what I am doing. Since I was kid, I was not ...
9
votes
6answers
2k views

submit the second part of a paper

I couldn't find similar question being asked here. The closest one I can find is When to split/merge papers?. Here is my situation: I proved a theorem. When I try to type it, I found that it's very ...
42
votes
8answers
5k 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 ...
6
votes
2answers
1k 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 ...
56
votes
7answers
8k views

Lost soul: loneliness in pursing math. Advice needed. [closed]

This is a atypical question for the forum. I'd like to get some advice on whether I should keep pursuing Math in the traditional route, i.e. get a PhD, do research & teach, etc. Due to financial ...
24
votes
2answers
2k views

When should I publish my results?

I just finish my masters thesis, and I was told by one of the referees that I should publish some of the results in there. However I feel that I mainly repeat arguments by other people in a slightly ...
20
votes
9answers
2k views

What are some interesting problems in the intersection of Algebraic Number Theory and Algebraic Topology?

I'm a beginning graduate student and while my background is primarily in algebraic number theory, I've found myself a bit smitten with the subject of algebraic topology recently after only having read ...
18
votes
3answers
2k 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 ...
2
votes
0answers
540 views

Advanced High-Schooler Seeking Career Advice [closed]

Hello, I have looked around quite a bit on Math Overflow and haven't found a similar question, so I'm posting it here. I understand that this isn't the typical forum for such a question but it's as ...
15
votes
2answers
1k views

Submitting papers “out of logical order” due to different review times or rejections

I am asking this question anonymously and apologize for the paranoia. Suppose you submit a paper on a topic and, while the paper is under review, continue to work on the topic and make enough ...
24
votes
2answers
1k views

How to balance writing professionally and being able to have a conversation with your reader?

Background. I am someone at the very very beginning stages of my career as a mathematician, and am, for example, almost ready to (re)submit my first paper. I have already read a lot of essays on how ...
21
votes
3answers
1k 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' ...
12
votes
2answers
1k views

Problems with Journal Submissions due to arXiv Submission? [closed]

Hello, I wanted to ask people if they know of any journals that will not accept papers for submission if they have been already posted on arxiv. I am personally interested in Logic Journals, but ...
3
votes
4answers
623 views

2 short article vs. a long one [closed]

Hi, I am a beginning mathematician and I need some publishing advice. I have some results obtained during my PhD research and I was wondering about the best way to publish them. My initial intuition ...
16
votes
2answers
2k 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 ...
6
votes
2answers
1k views

Should I write to the referee? [closed]

I have submitted a paper to a good journal about 3 months ago. Now I have realized that there is a mistake in the paper. Now I have completely corrected it. It is not a very serious error, but I ...
26
votes
5answers
2k 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 ...
6
votes
0answers
805 views

Advice on submission of a paper. [closed]

Dear all, I just received a letter from editors of one of top journals, saying "Though the expert consulted felt that your paper, "is a solid paper," the expert did not recommend publication in ...
8
votes
3answers
1k 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 ...
7
votes
7answers
2k views

Resubmitting a paper

(Hopefully this question is not too "soft": I asked it at math.stackexchange.com recently and was advised to ask it here instead). I submitted a paper to quite a low-rated journal (impact factor ...
30
votes
2answers
3k views

A question about rejected journal submissions, similar results, and discrepancies between the order of submission and the order of publication [closed]

Today I just received the decision of my paper from a journal. The paper was submitted last December and my paper is kind of long (about 40 pages), so I think it's reasonable to take such a long time ...
54
votes
7answers
6k 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 ...
10
votes
1answer
2k views

Should I tell my current employer that I am applying to other jobs? Should I have at least one letter of recommendation come from someone in the faculty at my current job? [closed]

Hello, I have a question regarding etiquette for applying for jobs. Background: I graduated recently with a PhD in mathematics and took a job at a small college. I have worked there pleasantly ...
16
votes
4answers
2k 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
4answers
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 ...
24
votes
3answers
4k 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 ...
8
votes
8answers
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
14answers
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 ...