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1 vote

Where does the term "torsor" come from?

In the french school, un torseur sert à tordre, a torsor is used to twist. More precisely, let $\eta$ be an object in a topos, and $G=\operatorname{Aut}(\eta)$. If $\nu$ is a form of $\eta$ (another ...
Niels's user avatar
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5 votes

Where does the term "torsor" come from?

There are three questions, but it's most sensible to answer them in reverse order. (3) When and where did this piece of terminology originate? Donu pointed out a reference to Giraud's thesis, and I ...
David White's user avatar
  • 27.8k
4 votes

Where can I publish a paper about how to write mathematical papers?

Whenever you write anything, including a paper on "How (not) to write a mathematical paper," it is wise to ask yourself who is my intended audience? That influences the choice of where to ...
David White's user avatar
  • 27.8k
4 votes

Refereeing a paper containing strong statements about other papers

I am surprised that this question never received an answer, though it did receive useful comments. My view is that a claim like "Theorem 1 in paper B is wrong" is a claim, just like any ...
0 votes

Suggestions and feature requests for the design of a font for math articles/books

One point which I want to clarify is that of special and unusual symbols for variables or objects: besides the relatively common ones I mentioned in the question body, such as ш for the Tate–...
0 votes

How to write mathematics without typing?

you can dictate in windows. press the window key + H. you can give instructions to chaGPT generate the latex code.
Humberto José Bortolossi's user avatar
2 votes

Suggestions and feature requests for the design of a font for math articles/books

This may not be an answer to your questions, but it is also too long for a comment. I hope it can be useful, so I leave it here. First of all, your font looks nice, so I hope you keep up the hard work!...
5 votes

Suggestions and feature requests for the design of a font for math articles/books

The theme of this answer is "incomplete math fonts". Most of the special math fonts currently don't even cover the full alphanumeric Latin alphabet (let alone other alphabets): ...
3 votes

Suggestions and feature requests for the design of a font for math articles/books

Not sure if this has been mentioned, but many mathematicians are missing a \bigtimes similar to \bigotimes = $\bigotimes$.
4 votes

Suggestions and feature requests for the design of a font for math articles/books

Unlike the somewhat obscure scripts you mentioned for particular/unique mathematical symbols, Greek is used constantly in math for all sorts of things. LaTeX has lowercase and uppercase versions of ...
8 votes

Suggestions and feature requests for the design of a font for math articles/books

Here are the suggestions I can think of Legible mathfrak capitals, i.e. easily distinguishable glyphs that resemble their latin counterparts enough that an uninitiated reader can easily tell which ...
8 votes

Suggestions and feature requests for the design of a font for math articles/books

Bold versions of the blackboard bold letters. It's common to want $\mathbb{R}$ or $\mathbb{C}$ as part of a section heading, e.g. $\textbf{Conjugacy classes in $\textbf{GL}_{\boldsymbol{n}}(\mathbb{R}...
50 votes

What mathematical problems can be attacked using DeepMind's recent mathematical breakthroughs?

This is a bit speculative, and perhaps too challenging for an undergraduate project, but I wonder if an AlphaGeometry type approach might be possible for the task of automatically upper bounding sums ...
Terry Tao's user avatar
  • 107k
9 votes

Suggestions and feature requests for the design of a font for math articles/books

Here is my own personal wish list (or rather a partial one, consisting of the items I can come up with off the top of my head). Some of them have existing workarounds, and some of them are perhaps not ...
19 votes

How to write mathematics without typing?

You can perhaps put writing a bit aside until you get better and use your time for improving your knowledge by reading papers, books, discussing math with colleagues, visitors, ... and attending ...
Roland Bacher's user avatar
55 votes
Accepted

How to write mathematics without typing?

First of all, sorry to hear that you've lost your ability to type for a few months. That must be frustrating, and I hope you recover quickly. Something similar to me happened during my Ph.D. and I ...
David White's user avatar
  • 27.8k
3 votes

Tips for reading arXiv papers in mathematics

I think that the question has a few false premises. The arXiv is not necessarily the best source for "understanding the latest research". First, there is room to argue that in mathematics ...
35 votes
Accepted

Tips for reading arXiv papers in mathematics

As I write this, the question already has one vote to close (but no comment as to why). So, I'll start by stating that I think concerns about arxiv are reasonable for research mathematicians, and that ...
2 votes

Daunting papers/books and how to finally read them

Richard Feynman mentioned a paper that was very hard for him to read. I can't remember if it was in his bio or letters volume (I think the former, have both). He told his sister that he just couldn't ...
6 votes

Daunting papers/books and how to finally read them

My experience with this changed a lot when I transitioned from graduate student to more experienced researcher. In earlier days, I followed the advice of starting at the beginning and working ...
5 votes

Daunting papers/books and how to finally read them

Just do it. Do it with a purpose Having a solid intent behind reading a paper or fully understanding its content absolutely helps motivate your reading. Also, it provides the proper lens to reading ...
22 votes

Daunting papers/books and how to finally read them

I can think of two distinct reasons why a particular paper or book might seem daunting. The first is the sheer size. The second is that I don't understand what's going on. If the only issue is sheer ...
16 votes

Daunting papers/books and how to finally read them

Sometimes you just have to admit that a reading project is too ambitious for you at the moment, and set it aside. After building more maturity and skill in surrounding topics you may have a better go ...
32 votes

Daunting papers/books and how to finally read them

Just sit down and start chewing on it. Don't think: I should finish this within X days/weeks/years. Read it sentence by sentence, pausing whenever you encounter anything you do not understand, and ...
10 votes

Daunting papers/books and how to finally read them

I, like I think many people who are called upon to read them, have found SGA3, and the œuvre of Bruhat–Tits, both quite daunting. In both cases, the remedy has been, with encouragement from wiser ...
4 votes
Accepted

Cartesian product of $[(k-2)\text{-times Interval}_1] \times [\text{Interval}_2] \times [\text{Interval}_2]$

Certainly not the syntactically incorrect $[0,2] \times \left[0,4-\sqrt{3}\right] \times \left[0,4-\sqrt{3}\right] \mathop{\Large\times}_{i=1}^{k-3}[0,2]$. Why not $[0,2]\times[0,4-\sqrt3\,]\times[0,4-...
Iosif Pinelis's user avatar
7 votes

Are there grants supporting sabbatical year in US?

The normal way to do this would be to have a collaborator at a US institution invite you for an extended stay. That university could even give you a courtesy appointment like "Visiting Scholar.&...
7 votes

Are there grants supporting sabbatical year in US?

There is Fulbright scholars program.
4 votes

A starting point for research in Graph Theory as a high schooler

Stay away from prime numbers and number theory! You won't make progress there. Too many smart people have been there already. You should start with easier (less known) problems. Also, learn ...
4 votes

A starting point for research in Graph Theory as a high schooler

Sam Nead and David White have given very good answers so far. I want to expand on some related aspects. I've done a research in graph theory with high school students before which led to a just ...
3 votes

Separable coordinate systems for the Laplace and Helmholtz equations?

There is a modern geometric theory of (orthogonal) separation of variables on spaces of constant curvature (of arbitrary dimension), which includes an exhaustive classification. It follows from the ...
Krishan Rajaratnam's user avatar

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