Dossiers on LLMs in mathematical research
The involvement—or even leadership—of LLMs in mathematical research has received considerable attention recently. Unfortunately, despite everyone’s emphasis on the importance of mathematical rigor and...
View ArticleNotation for a paper in sphere geometry using the projective model
I am writing a paper in sphere geometry using the projective model. Throughout the paper, I frequently switch between projective points, subspaces, and their representatives in the underlying Lorentz...
View ArticleExamples of great mathematical writing
This question is basically from Ravi Vakil's web page, but modified for Math Overflow.How do I write mathematics well? Learning by example is more helpful than being told what to do, so let's try to...
View ArticleWhat's the notation for a function restricted to a subset of the codomain?
Suppose I have a function $f : A \to B$ between two sets $A$ and $B$. (The same question applies to group homomorphisms, continuous maps between topological spaces, etc. But for simpicity let's...
View ArticleTerminology: A "corollary" to a proof?
Somewhat similar related question: Can a corollary follow a conjecture?One writes of a corollary to a theorem, a corollary to a lemma, a corollary to a "proposition", a corollary to a corollary, a...
View ArticleProcedural verification framework for Millennium Prize Problems: seeking...
I have prepared a methodological analysis of the Clay Mathematics Institute's Millennium Prize Problems verification process, based exclusively on the official rules (revised September 26, 2018):...
View ArticleWhen should a result be made into a paper?
I recently posted a short (6 page) note on arXiv, and have more or less decided that I should not submit it to a journal. I could have tacked it onto the end of a previous paper, but I thought it would...
View ArticleMost intriguing mathematical epigraphs
Good epigraphs may attract more readers. Sometimes it is necessary. Usually epigraphs are interesting but not intriguing.To pick up an epigraph is some kind of nearly mathematical problem: it should be...
View ArticleAuthorship in Mathematics
In a mathematical research scenario, you are a junior or a student who is given a project to work on and is given some advice and ideas on it to work with. For 2-3 months you work on it and give some...
View ArticleIf Erdős is published as Erdös in a paper, which do I cite?
There seems to be a few papers around with Erdős written as Erdös. For example:MR0987571 (90h:11090) Alladi, K.; Erdös, P.; Vaaler, J. D. Multiplicative functions and small divisors. II. J. Number...
View ArticleBest practices for citing and documenting certified computations in a...
I am writing a paper in which one part of the proof uses a certified computation (for example, interval arithmetic, exact arithmetic checks, or machine-checkable certificates), and I would like to...
View ArticleWhat to do next when extensive computations support a conjectural bound but...
I am working on a problem where a particular estimate/conjectural inequality appears to hold very robustly in extensive numerical experiments, but I cannot find a viable proof route. The overall...
View ArticleWhere to get feedback on a math paper?
I’m not entirely sure if this is the correct math site to be asking this question on, but I’ll be brief. I’m currently in the process of writing my first mathematics paper, and I’m wondering where I...
View ArticleWhen to postpone a proof?
One possible practice in writing mathematics is to prove every theorem and lemma right after stating it.A long, technical proof — and sometimes even a short one — can interrupt the flow of the...
View ArticleCollaboration or acknowledgment?
This post is a sequel of: When should a supervisor be a co-author?This time the topic is about the interaction between two professional mathematicians (in particular junior-senior, but not...
View ArticleHow to write a good MathSciNet review?
When reviewing for MathSciNet, I routinely find myself just paraphrasing and abbreviating the introduction provided by the author, and occasionally adding a few words about the quality of the research...
View ArticleHow do I learn to write mathematics professionally?
Hopefully this isn't too off topic.I am an undergrad who really would like to one day do mathematics on a 'professional' level, but one hugely important area that I struggle in is communicating...
View ArticleWriting an equation with cases when case description is long
This question seeks advice on what is common or at least acceptable in typing a certain inequality in a research paper.I have an inequality that looks like...
View ArticleHow to refer to Russian mathematicians?
I need to cite several Russian mathematicians in a paper and I would like some advice on how to write their names and how to write the bibliography. My main concern is to respect the name they were...
View ArticleSource of a quote on boxed formulas
I vividly remember once reading (or hearing?) a claim that the level of a mathematical text is inversely proportional to the$$\boxed{\text{density of boxed formulas}}.$$Now I can’t find/remember where...
View Article
![ONEW – KAKERA -Unmei no Piece- – EP [iTunes Plus M4A]](http://is1-ssl.mzstatic.com/image/thumb/Music221/v4/d0/fb/86/d0fb86a5-ba60-4bea-41fb-7f54c125f518/VEATP-45908.jpg/296x296bb.webp)
/pic9814888.png)
