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

I am a mathematician who has similarly been intentional about diversifying my research. My PhD training was in algebraic topology and category theory, very far on the "pure math" side of the ...
David White's user avatar
  • 6,262
38 votes
Accepted

University is killing my passion [for mathematics]

Yours is a surprisingly common experience, so do not think there's something wrong with you. I submit that what you are in fact disliking is not mathematics itself, but the academic structure that a ...
heropup's user avatar
  • 1,996
36 votes

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

Firstly, a referee cannot force an author to do anything. They can ask in their reviews, but an author can refuse, and outline the reasons they are refusing. It is then up to the editor to choose ...
Ian Sudbery's user avatar
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33 votes

Skills Difference between Theoretical Physicists and Mathematicians

My opinion departs rather significantly from the main line seen in most of the answers here, so I'll write another answer. I have a PhD in physics and transitioned between physics and math many times, ...
QuantumBrick's user avatar
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24 votes

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

As requested, I expand my comments to an answer. Much of what I will say applies to science in general, not just mathematics, but I will limit myself just to math in the answer. Your main question is:...
Moishe Kohan's user avatar
  • 5,072
22 votes

Skills Difference between Theoretical Physicists and Mathematicians

This is probably a better fit for Mathematics Stack Exchange or Physics Stack Exchange, and might be too opinion-oriented anyway, but for what it's worth I'll give some comments about my experience of ...
Dave L Renfro's user avatar
20 votes

Skills Difference between Theoretical Physicists and Mathematicians

Here are my opinions based on my experience as a student and as a professor. For as long as I can remember, I always wanted to understand how things worked at a fundamental level. Naturally this led ...
NWMT's user avatar
  • 301
20 votes

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

If you wish to help the countries where math research is not as developed, single out a conference or two in such countries, and travel there to report your results. Talk to the people there, exchange ...
Michael_1812's user avatar
  • 4,146
20 votes

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

As someone who comes from an underrepresented minority group to this field, here is what helped me: Keep lecture talks and seminars open to public on a known platform like youtube. Also promote it so ...
Babu's user avatar
  • 2,500
19 votes
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How to find a co-author for a paper I can’t complete?

I thought of contacting the researcher who wrote the main paper my work builds upon, but this person is now retired. Absolutely reach out to that person. Lots of academics continue working in ...
Stephan Kolassa's user avatar
16 votes

Potential PhD advisor may lack qualifications

Mathematician here. Regarding gaps in your knowledge, you should know that most mathematicians feel there are things they wish they understood better. It goes with the job. As you go on, you get lots ...
David White's user avatar
  • 6,262
15 votes

Skills Difference between Theoretical Physicists and Mathematicians

You've already gotten a lot of answers, but many seem to be from the point of view of mathematicians, or people who do both mathematics and physics. This answer is from the point of view of someone ...
Andrew's user avatar
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15 votes

How appreciated is "Part III" in the US?

Part III of the Tripos is reasonably well known amongst professional mathematicians. I can't comment on physics. Good marks would surely boost your competitiveness for PhD slots in math. Having taken ...
user176372's user avatar
  • 2,170
13 votes

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

but this person is now retired. This makes even more worthwhile to reach out to them (unless they retired 30 years ago...). They may be open to get you in touch with people that shared the research ...
EarlGrey's user avatar
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10 votes

Skills Difference between Theoretical Physicists and Mathematicians

I sit (as an applied mathematician) on a few PhD committees in Physics and I would say the line is quite blurred, many times. The main difference, I would say, lies in the "requirement for proof&...
FrozenMiddle's user avatar
9 votes

Skills Difference between Theoretical Physicists and Mathematicians

As a math person, I do get pretty frustrated trying to read physics material by all the unstated assumptions and vague definitions floating around the work (much as the OP says). Here's an article I ...
Daniel R. Collins's user avatar
9 votes
Accepted

Accept applied PhD student position or wait for math PhD?

First of all, congrats on being accepted to a fully funded PhD program! That's quite an accomplishment. Many people apply for such programs and don't get into any. Second, "math" and "...
David White's user avatar
  • 6,262
8 votes

University is killing my passion [for mathematics]

I also simply find some courses to be incomprehensible and would much prefer studying the topic from a book, by myself. To me, this is possibly the most important part of your story. For whatever ...
tbrookside's user avatar
7 votes

How can one make a persuasive argument using numerics?

A conjecture without a proof is always a conjecture, but you can establish evidence for the conjecture without a proof. Take for example elementary number theory and something like the Goldbach ...
Thomas Schwarz's user avatar
7 votes

Skills Difference between Theoretical Physicists and Mathematicians

A question near and dear to my heart. I arrived at college self-taught in several subjects which, except to those with self-discipline of a type unknown to me, meant my skills were strong in those ...
vomlehn's user avatar
  • 71
7 votes

Skills Difference between Theoretical Physicists and Mathematicians

Since no one seems to have defended the physics approach yet let me just add that giving up some rigor does have its advantages. Theoretical physics is usually very much ahead of rigorous math. The ...
Kvothe's user avatar
  • 777
6 votes

Skills Difference between Theoretical Physicists and Mathematicians

I have not studied math or physics at anything like an advanced level. But I have read a lot of biographies of mathematicians and physicists. Of course, physicists vary. But quite a few of the very ...
Peter Flom's user avatar
  • 3,539
6 votes

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

I think the answer can depend on a lot of other things: What kind of resolution would you be satisfied with? In particular, would you be happy if the editor just decides not to use that referee in the ...
Will Sawin's user avatar
6 votes

How appreciated is "Part III" in the US?

I am not qualified to say whether you are adequate in math already to undertake the type of research topic you favour at PhD level or not. But rather than simply take the word of those providing the ...
Trunk's user avatar
  • 4,771
5 votes

University is killing my passion [for mathematics]

There are subjectt student and professor combinations that make it just a better option to self-study I am not in mathematics but computer science but there is a reason why reasonable universities to ...
Hobbamok's user avatar
  • 683
5 votes

From topology to biomolecular topology

You're unlikely to find a better source than the article you read (https://link.springer.com/content/pdf/10.1007/s10114-022-2326-5.pdf) to start piecing together a potential curriculum. "...
user176372's user avatar
  • 2,170
5 votes

Skills Difference between Theoretical Physicists and Mathematicians

There are many great comparisons given, and I would like to add another along side them. In physics many assumptions are often made to simplify things. That is necessary, and perfectly reasonable. ...
Ken Horne's user avatar
5 votes

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

I'm going to attempt to answer this question as if it is asked in good faith, although quoting people like Ben Shapiro suggests a definite agenda here. Here are a few ways that academic careerism can ...
JoshuaZ's user avatar
  • 5,910
5 votes

How appreciated is "Part III" in the US?

I am just finishing Part III after doing an MSc in my home country and my focus has been on the topics in theoretical physics that you listed. As others have pointed out, by the time applications are ...
Alex's user avatar
  • 51
4 votes

Skills Difference between Theoretical Physicists and Mathematicians

This answer isn't complete and is only meant to be complementary to the other answers here. One thing I have noticed is that physics curricula, on average, do a much better job emphasizing geometric ...
Ryan Budney's user avatar

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