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Questions tagged [mathematics]

On standards or conventions specific to mathematics as an academic discipline, and programs that lead to a degree in this field. For regular mathematics questions, visit our sister sites Math Stack Exchange and MathOverflow.

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Best practices for citing a reference you've found an error in

I am writing a mathematics paper and citing a particular reference in a peer-reviewed mathematical journal. It turns out that the result I reference is ultimately correct, but the proof has an error ...
pyridoxal_trigeminus's user avatar
0 votes
2 answers
139 views

To what extent should homework sets be changed in a math course, semester to semester?

I've curious as to the extent that materials should be refreshed between semesters, changing the contexts and updating numbers to avoid students passing on solutions from previous semesters of the ...
eretmochelys's user avatar
0 votes
1 answer
172 views

How critical is memory in achieving proficiency at Master's and PhD levels in mathematics?

I'm keen to discuss how significant memory is in excelling in higher-level mathematics, particularly at the Master's and PhD levels. I have found that I sometimes have trouble remembering certain ...
Ad_M's user avatar
  • 1
14 votes
10 answers
6k views

Path from humanities undergrad to math PhD

This is out of left field. I have recently been realizing that, since my favorite classes are math, my best friends have all been future mathematicians, and I love nothing more than thinking about ...
Alcibiades's user avatar
1 vote
1 answer
178 views

What to do in my gap year to transition from a US pure math undergraduate to an applied math masters in France?

I'm an international student who finished my undergraduate degree at a top-20 US university last December (double-majoring in math and comparative literature) and currently staying in my home country. ...
violetiris's user avatar
11 votes
6 answers
10k views

How appreciated is "Part III" in the US?

I will complete an MSc in physics, including a thesis, this year. I have received an offer for a 9 month taught math master's course at Cambridge called Part III, although I don't yet have a funding ...
ziv's user avatar
  • 239
-6 votes
1 answer
230 views

Academic careerism: How can there be biased research or dishonest inquiry in theoretical hard sciences? [closed]

From Wikipedia: (emphasis added) https://en.wikipedia.org/wiki/Academic_careerism Academic careerism is the tendency of academics (professors specifically and intellectuals generally) to pursue their ...
BCLC's user avatar
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7 votes
3 answers
9k views

Potential PhD advisor may lack qualifications

I am an applied mathematics student and recently finished my MSc. During my second year of the bachelors I had many personal problems and was at risk of losing the entire year. To avoid this delay, I ...
Mira_Kov's user avatar
20 votes
2 answers
5k views

When is it worthwhile to report academic misconduct of a referee?

Sometimes academics become aware of misconduct of other academics. Reporting it can backfire if it comes off as petty squabbling to senior people. It’s also not clear that reporting misconduct often ...
David White's user avatar
  • 6,311
0 votes
1 answer
238 views

Pages and lines in a paper. What does the reviewer mean?

Recently the editor of the American Mathematical Monthly informed me that I should revise my paper according to suggestions of the reviewers. The problem is that the second reviewer suggests something ...
Konstantinos Gaitanas's user avatar
7 votes
5 answers
4k views

Accept applied PhD student position or wait for math PhD?

I have been offered a great PhD student position in information theory and machine learning, but in my heart i want to pursue a PhD in pure mathematics, hence I am debating with myself whether or not ...
ummg's user avatar
  • 203
0 votes
1 answer
78 views

Prospective PHD student currently majoring in CS

I'm a computer science major at a prestigious university. I've consistently achieved top grades in all my courses and have developed a strong interest in mathematics. I've completed a year-long ...
hi bye's user avatar
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30 votes
16 answers
16k views

Skills Difference between Theoretical Physicists and Mathematicians

As I am preparing to start my PhD in theoretical physics, I have come to the realization that the more math you know (as a physics person), the better. But, I also realized that my physics brain is ...
CosminA's user avatar
  • 433
0 votes
3 answers
191 views

Pure math courses for mathematical biology? [closed]

For research at the PhD level and beyond in mathematical biology, what math courses come in handy (beyond calculus, ODE, statistics and probability and linear algebra)? I know it heavily depends on ...
vhd's user avatar
  • 55
1 vote
1 answer
113 views

From topology to biomolecular topology [closed]

Recently I came across an article about biomolecular topology. I want to know how can a topologist (who has no prior knowledge in biology) do research in biomolecular topology? Like what courses in ...
MNJG_1729's user avatar
0 votes
2 answers
229 views

How can one make a persuasive argument using numerics? [closed]

I am currently a physics undergraduate, but I will be pursuing a physics PhD next fall. One part of the current research I am doing is to build up evidence for a mathematical "if and only if"...
Silly Goose's user avatar
6 votes
6 answers
12k views

How does one research (pure) mathematics in a more inclusive manner?

Motivation I don't want my mathematical research to be limited by me being a monoglot, Western, white, and a man; and I'm sure there are other limitations. Diversity is essential. The Question How ...
Shaun's user avatar
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2 votes
2 answers
290 views

What do I do on my summer vacation with an interest in mathematics?

I am a second year college student majoring in mathematics. The summer vacation is coming up and lasts for three months. I am thinking of studying something during this vacation that is specific to ...
Mostafa's user avatar
  • 131
17 votes
3 answers
4k views

How to find a co-author for a paper I can’t complete?

I am writing a mathematical paper, and I have been able to complete 2/3 of the paper’s main proof. However, I have been stuck with the last third for more weeks than I can count, and I am getting to ...
EoDmnFOr3q's user avatar
4 votes
2 answers
290 views

How to get out of the situation where one needs better grades to enter a degree program and to get better grades, one needs to enter a degree program?

Does anyone know how and where to apply for a Master's degree in the European/North-American regions as someone with poor UG grades? For a number of reasons, I was able to score only a meagre 2.5/4.0 ...
quant-puzzler's user avatar
38 votes
19 answers
18k views

University is killing my passion [for mathematics]

In high school, before having begun with a degree in mathematics, I derived pleasure from studying [mathematics]. At that time, I was naturally looking forward to university, since it meant no more ...
RNX2D2X's user avatar
  • 507
8 votes
4 answers
6k views

Is it acceptable to not give someone credit in a math thesis for minor guidance?

This question is related to this question. If I write a thesis and encounter a small problem that I can't resolve on my own, maybe because I didn't sleep well this day, and someone, like my mother or ...
Perelman's user avatar
  • 463
3 votes
3 answers
729 views

How to get back to academia after a rough phase?

I am looking for some advice to return to academia around financial math and related branches. I used to be a pure math enthusiast. Back in my school days, I was a competitive mathematician (qualified ...
quant-puzzler's user avatar
18 votes
7 answers
21k views

Reviewer rejects a paper and then publishes the same results as their own? [duplicate]

In short, I'm wondering how likely is the following sequence of events. The context is research in pure mathematics. A researcher submits a paper containing new results for review in a journal in ...
mechanodroid's user avatar
0 votes
1 answer
164 views

Applying to academia and industry at the same time issue

I will apply to both industry and academia while graduating with a PhD in math, but I'd prefer the industry. The deadline to commit for the academia position is very early (end of Winter?). But one ...
anonym's user avatar
  • 153
0 votes
1 answer
227 views

How to go about publishing a paper solving a new problem [closed]

I am a computer science student in university, at work I stumbled across what I believe is a NP-Hard problem that I have an active interest to solve in it's complete form. I have no experience in ...
TimothyH 's user avatar
3 votes
2 answers
158 views

How to prepare for the Quals in Math early on?

I'll be starting graduate school in mathematics this fall. Obviously what worries me are the qualifying exams. What is the best way for me to prepare myself in these subjects from now on? I'm kind of ...
NoetherNerd's user avatar
12 votes
5 answers
5k views

NSF grant proposal not reviewed despite being received

I submitted an NSF research grant proposal (Mathematics) last year. The status for my proposal shows "pending" on the website. I was talking to a professor recently, who told me that she was ...
Ryan Hendricks's user avatar
0 votes
1 answer
106 views

What next step would be best with my preferred math PhDs in mind? [closed]

I applied for PhDs this December. My undergrad is in computer science and my master’s which I have just finished is in theoretical computer science, both in Greece. I was mostly aiming for a math PhD ...
master bob's user avatar
-5 votes
2 answers
197 views

With computation tools available, why are we still not teaching any proofs in the first-year calculus/linear algebra for deeper understanding?

My understanding of the first-year calculus/linear algebra in the U.S. is that: students basically only need to memorize all kinds of math formulas instead of theories (even for theorems, for example ...
No One's user avatar
  • 4,240
-3 votes
2 answers
243 views

What are the different mathematical cultures out there? That is, what universities focus on what fields and subfields in mathematics? [closed]

I am a soon-to-be undergraduate: a double-major in mathematics and computer science (but I have plenty of graduate-level mathematics courses I was advised to take by several professors). However, ...
KibalchishTheCoder's user avatar
0 votes
0 answers
114 views

Inquiry regarding my MSc degree in Mathematical Physics

I did my post graduation (MSc) in the branch Mathematical Physics in India. I have qualified national level Mathematics examination for this. Now I want to pursue my PhD in Mathematics but I am ...
Vikrant Kumar Verma's user avatar
33 votes
23 answers
27k views

What can I tell a student I am mentoring who claims: "I want to do pure mathematics because it is superior to any other subject in the world"?

This question is partly inspired by this thread. I am mentoring a student who claims: "I want to do pure mathematics because it is superior to any other subject in the world like applied math, ...
No One's user avatar
  • 4,240
4 votes
1 answer
411 views

What to do when a math paper “under review” contains a true but not clear step in a proof?

A few weeks ago, I submitted a mathematical paper in which the main proof contains a sentence that says: “by X and by Y, then Z is true”. It turns out that, luckily, the sentence is true. However, it ...
EoDmnFOr3q's user avatar
15 votes
16 answers
11k views

How do you respond to people who say pure mathematics has less value than applied mathematics because "it doesn't have any practical application"?

I'm a Math PhD student in pure math. Many times I have encountered people who just doesn't value pure math or does not see the beauty of pure math. Most of the time these are those people who haven't ...
It'sMe's user avatar
  • 2,380
1 vote
3 answers
217 views

Master's thesis on uninteresting topic not really related to my background

I have started a master thesis in applied mathematics with the aim of studying a paper of my supervisor. This paper uses some "basic" results of a theory (semi algebraic geometry i.e. SAG) ...
G2MWF's user avatar
  • 111
0 votes
1 answer
185 views

Does an offer for tutorials amount to rejection from a summer program?

I recently received the results of the selection process of an application for summer courses and jobs (in the context of courses for undergraduates, mathematics and the United States). On the part of ...
IAG's user avatar
  • 469
21 votes
7 answers
12k views

How to acknowledge "hints" in a math thesis?

Would you consider it plagiarism if you receive a hint from somewhere or someone regarding a reference to look up certain information but fail to give credit to this source or person in your work? For ...
Perelman's user avatar
  • 463
5 votes
2 answers
1k views

Organisation of a math thesis

Do you think it's appropriate to introduce notational aspects right after presenting the main topic in the introductory section of your thesis? Personally, I prefer not to include notations in an ...
Perelman's user avatar
  • 463
4 votes
2 answers
2k views

Is it ethical to study online solutions to for-credit math master's homework problems?

I am taking Complex Analysis for a master's degree in Pure Mathematics. The grade is: Three written evaluations. Questions the teacher asks that must be submitted every week. The teacher's ...
user avatar
4 votes
1 answer
1k views

How do I reframe getting an MPhil instead of a PhD the first time round, in the context of applying for a mathematical postdoc?

The Question: How do I reframe getting an MPhil instead of a PhD the first time round, in the context of applying for a mathematical postdoc? Background: I tried for a PhD in group theory at ...
Shaun's user avatar
  • 997
3 votes
3 answers
706 views

Asking a professor at another university for a reading course

For context, I am an undergraduate at a T20 school. My summer plans fell through and I am currently in the process of figuring out what to do. For personal reasons, I would like to spend the summer at ...
abc2003's user avatar
  • 39
5 votes
4 answers
1k views

How to learn math independently as a biologist/bioinformatician

I am in the same boat as many bioinformaticians, where I got my degrees in biology and taught myself computer science, and that's gotten me pretty far. But unlike those lovely physicists-turned-...
lmrta's user avatar
  • 309
10 votes
3 answers
2k views

Is it more important to have an accepted, rather than submitted paper, when applying for math postdocs?

I'm a fourth-year math PhD student and am about to submit my first paper. Since this fall, I probably will be on the job market, I am not sure what strategy should I use for submitting. My major ...
MikeG's user avatar
  • 203
5 votes
2 answers
516 views

How do you deal with a dishonest graduate advisor?

Assume that you are a Ph.D. student in math who after a few years of working in the field discovers a new idea (independently). You present the idea to your advisor. Later your advisor realizes the ...
user avatar
1 vote
2 answers
408 views

What do you think is the best way for me to get into grad school?

So, I completed my bachelor's in mathematics a month ago, and I'm planning to move to another country to continue my studies. I really love mathematics and I want to apply to a master's program in ...
Arfin's user avatar
  • 135
2 votes
1 answer
2k views

What is the percentage of recent graduates with a 4-year degree who have passed a Calculus I course?

I'm fairly certain that this exact statistic doesn't exist, so educated estimates are welcome. According to the Education Data Initiative, almost exactly 2 million Americans graduated with a bachelor'...
Laurence's user avatar
17 votes
4 answers
4k views

Article supplement is longer than article itself

I am writing an article in numerical mathematics. I have been working on this for a long time and I think I cannot cut down on any part of the main article anymore. Yet, my advisor tells me to expand ...
Lilla's user avatar
  • 1,713
0 votes
1 answer
194 views

Whom to take recommendation letter from if master thesis advisor never replied?

I am from a poor country in Asia . I will apply for PhD positions in pure mathematics in USA in the upcoming year. I completed my masters in mathematics in June 2020 but I am still not able to find a ...
user avatar
0 votes
2 answers
163 views

How to properly sort and name variables / parameters in mathematical papers? [closed]

I have the following question. I am in the process of finalizing my model for my first paper. I have a question about the naming or sorting of the variables / parameters. I have now labeled all ...
manofthousandnames's user avatar

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