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Questions tagged [online-resources]

For questions seeking recommendations for online mathematics resources that are useful at a research level.

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1 vote
0 answers
160 views

Research Mailing Lists / Usenet groups

For Category theory there is a well known and quite active research mailing list like this one. Do similar mailing lists or usenet groups exist for other branches of mathematics? For example in metric ...
20 votes
4 answers
3k views

Online References for Cartan Geometry

I would like to learn more about Cartan Geometry ("les espaces généralisés de Cartan"). I ordered Rick Sharpe's book "Differential Geometry: Cartan's generalization...", which would take a long time ...
1 vote
1 answer
149 views

Resource request (probability theory, computability theory, algebra)

I'm a first year graduate student trying to explore specific topics I might be interested in researching. Currently, I enjoy algebra, probability theory, and the computability theory side of logic, ...
4 votes
1 answer
204 views

Any platform places to share code (simulations) about math/physics objects?

In math, it is very convenient to code programs that simulate the objects we study to give us more intuition. Q: I was just wondering if there are any website-databases that have attempted to collect ...
424 votes
93 answers
149k views

Video lectures of mathematics courses available online for free

It can be difficult to learn mathematics on your own from textbooks, and I often wish universities videotaped their mathematics courses and distributed them for free online. Fortunately, some ...
2 votes
1 answer
315 views

Recommendation for books on boundary-value problems that include perturbed boundaries and many solved problems

I am looking for a book or resource that contains applied math analytical methods and a lot of solved problems in Boundary-Value Problems for second-order PDEs, and if it could be related to wave-...
37 votes
9 answers
4k views

Places where one can post open problems

(This must have been asked before and exist somewhere in Community Wiki, but I can't find it...) Where can you post open (math) problems? And what are the advantages and disadvantages? Example: This ...
18 votes
4 answers
7k views

How do you generate math figures for academic papers?

Good day! I am looking for any tool that would allow me to generate a figure similar to the figures embedded in the paper by King et al. (2020) titled "Trigonometry: a brief conversation." ...
1 vote
0 answers
65 views

Are these kinds of bases for $\mathbb{F}_2^q$ seen as a vector space studied?

In the context of my research, I have to work with sets of vectors $\left\{y_i\right\}_{i\in[n+1]}$ of $\mathbb{F}_2^n$ such that the following property is true: $$\forall i\in[n+1], \left\{y_i\oplus ...
25 votes
7 answers
5k views

Where can I create nice looking graphics for a paper?

I’m currently writing my first paper, a little paper, and I’d like to have some nice graphics in it. Much of the proof work is tedious analysis and I’d like to give any potential reader visual ...
9 votes
1 answer
562 views

Online study groups for individual mathematical texts

This has been one of my earlier academic dreams. I have pitched the idea to Prof Ravi Vakil, among others. Recently, because of participation in the mathematical competition hosted by Alibaba, I have ...
13 votes
2 answers
990 views

Are there any organized websites for seminar/conference videos?

These days, there are many conference centers and universities recording seminars and conference talks and make them available on the web. Some examples: http://www.fields.utoronto.ca/video-archive ...
83 votes
28 answers
8k views

What could be some potentially useful mathematical databases?

This is a soft question but it's not meant as a big-list question. I have recently been asked whether I want to provide feedback at the pre-beta stage on a forthcoming website that will provide a ...
4 votes
0 answers
388 views

Social media for a mathematics related idea buckets

Are there any good social media platforms that can recommended for communicating ideas related to mathematics? The reason for asking is that I am in the situation that, albeit having studied math, I ...
24 votes
2 answers
4k views

Tips for reading arXiv papers in mathematics

What tips do you have for reading arXiv papers in mathematics? This could be too broad if I'm not careful, so here are some limitations on how to make the question appropriate for MO: I'm interested ...
31 votes
11 answers
2k views

Combinatorial databases

At one point, I remember being excited by seeing the website Encyclopedia of Combinatorial Structures as an extension of Sloane's Online Integer Sequence Database site. Unfortunately, the site (ECS) ...
2 votes
1 answer
212 views

A more complete set of open problems

Over time, there have been a number of posts on open problems remaining in different fields of math, both here and on the MathSE. So I had the idea of trying to construct a “list of lists” of problems ...
57 votes
10 answers
10k views

A clear map of mathematical approaches to Artificial Intelligence

I have recently become interested in Machine Learning and AI as a student of theoretical physics and mathematics, and have gone through some of the recommended resources dealing with statistical ...
177 votes
80 answers
66k views

Best online mathematics videos?

I know of two good mathematics videos available online, namely: Sphere inside out (part I and part II) Moebius transformation revealed Do you know of any other good math videos? Share.
22 votes
2 answers
934 views

Videos of Gian-Carlo Rota lectures

I apologize if this is off topic. I think most of his listeners would agree with me that Gian-Carlo Rota had a wonderful style of lecture delivery. I have heard him lecture, both as an undergraduate ...
14 votes
1 answer
2k views

Database of Steiner triple systems

Can anyone point me to an online database of Steiner triple systems? My Google-fu is only getting me to descriptions of the few smallest ones, mostly Google book scans (which are rather useless to ...
2 votes
1 answer
40 views

Questions on the "generalized" min. singular value of $A$ given $B$: $\min_{L \in \mathbb{R}^{n \times m}} \{\|BL\|_F: \det(A + BL) = 0\}$

Let $A \in \mathbb{R}^{n \times n}$ be a matrix. Recall $\sigma_{\min}(A)$ is the Frobenius distance between $A$ and the set of singular matrices: $$\sigma_\min(A) = \min_{E \in \mathbb{R}^{n \times n}...
22 votes
7 answers
2k views

Examples of (Git) open math (texts) projects

I am an active part of a research project on the positive effects of open math projects on the community. With open math projects I have in mind a particular thing, namely a GIT project on mathematics ...
1 vote
0 answers
110 views

Questions on the differential of the Lie logarithm

Let $G$ be a Lie group. Recall the Lie logarithm is well-defined about a neighborhood $U \subset G$ of the identity: $\log:U\to \mathfrak{g}$. I am dealing with a research problem that concerns the ...
11 votes
1 answer
857 views

Books/blogs/websites that have open problems in Algebraic geometry

I got admitted in a PhD program in Europe last year. But due to serious mental health issues , I was deemed unfit by the mathematics department to continue the program. I am from a 3rd world nation ...
16 votes
0 answers
428 views

Complete resource of Ngô's course notes on Algebraic Groups and Group Schemes

I'm looking for Ngô's M2 course notes on "Groupes algébriques et schémas en groupes". The Wayback Machine has an incomplete capture here. However, it apparently lacks chapter 1, 3, and 5. I ...
1 vote
1 answer
207 views

Is squared geodesic distance a Morse-Bott function on simply-connected Hadamard manifolds?

Let $M$ be a simply connected Hadamard manifold. That is, $M$ is a complete Riemannian manifold with sectional curvature bounded above by 0. Let $f(x,y)=\frac{1}{2}d^2(x,y)$, where $x,y \in M$, and $d(...
77 votes
30 answers
6k views

Atlas-like websites on specific areas of mathematics

In this post, we look for the existing atlas-like websites providing well-presented classifications or database about some specific areas of mathematics. Here are some examples: GroupNames: https://...
129 votes
74 answers
20k views

Most helpful math resources on the web

What are really helpful math resources out there on the web? Please don't only post a link but a short description of what it does and why it is helpful. Please only one resource per answer and let ...
1 vote
1 answer
85 views

Where to find hard instances of subsetsum and other famous np-complete problems for testing heuristics against?

[Can move to cs or tcs stackexchange if thats a better home] I remember back around 2016 DIMACS used to host a list of problem instances of various famous problems in the NP-complete class and harder ...
7 votes
1 answer
386 views

Peterson's quantum cohomology of G/P lectures

Dale Peterson famously gave a series of lectures on the quantum cohomology of flag varieties $G/P$ at MIT in 1997. These lectures are often cited in subsequent papers by other authors on the subject (...
13 votes
5 answers
3k views

Online introduction to Lattice Theory?

Apart from J. B Nation's Notes on Lattice Theory, is there any other (mostly introductory) material on Lattices available online? NB: The last update of Nation's notes was 2017, as of Feb 2023.
17 votes
9 answers
3k views

Where on the internet I can find a database of graphs?

I am studying graph algorithms. I need a database of graphs on which I can test my algorithms. Where can I find a reliable database of graphs of all kinds? Thanks!
6 votes
0 answers
746 views

How to learn homotopy theory

I studied some basic algebraic topology (homotopy/homology/cohomology groups). When reading about the Dold-Thom theorem, the fancier and more recent sources sooner or later all started to use homotopy ...
1 vote
1 answer
172 views

What is the website address that automatically shows related content instead of pointing to the paper or books [closed]

I was looking for vector bundles online, and I found a website that shows all the related results. By related results, I mean theorems/propositions/definitions, etc. It is not ProjectEuclid, which ...
8 votes
9 answers
2k views

Papers of the masters translated to English in one location

Surely someone has collected these papers and translations and has them in a single location for download? For music there is musipedia. Surely there is a mathepedia equivalent? If I search gauss ...
49 votes
20 answers
20k views

Sources for BibTeX entries

Does anyone know of a good place to find already-done BibTeX entries for standard books in advanced math? Or is this impossible because the citation should include items specific to your copy? (I am ...
14 votes
1 answer
546 views

Have the "Bayreuther Mathematische Schriften" ever been digitalized?

See update below. This is borderline off-topic (certainly not a research question), but the rather successful story of a similar question gives me hope. The Bayreuther Mathematische Schriften were a ...
4 votes
0 answers
224 views

Online encyclopedia of categories?

Being new to categories and mostly interested in specific categories such as the reverse derivative category, I'm wondering if there are any resources like the one for integer sequences and how might ...
1 vote
1 answer
86 views

Resources/Reading Materials on PASA (optimal control theory)

I am currently working on my undergraduate thesis, and my adviser suggested that I look into a Polyhedral Active Set Algorithm (PASA) for my paper. I have been trying to find resources/materials on it ...
4 votes
1 answer
3k views

Is there an alternative to the arXiv for uploading mathematical papers?

Is there an alternative to the arXiv for uploading mathematical papers? Here is the story. Upon attempting to upload a modified version of a published paper to the arXiv, it was put "on hold"...
1 vote
0 answers
1k views

Mathematical physics roadmap

I am looking for a roadmap to be able to understand more of the physical theory behind mathematical physics (at the level where I can read physics oriented textbooks/monographs) I have a background in ...
22 votes
2 answers
2k views

sci.math.research archive?

Does there exist an archive somewhere of posts to the USENET newsgroup sci.math.research? The best approximation I'm aware of is Google Groups. However, despite ...
3 votes
0 answers
203 views

Resources for PhD students to guide through the research [duplicate]

I am living in a poor country but I have managed to get admission for a PhD program in Western Europe. This was a daunting task for me due to my family background and also social conditions. ( I don't ...
2 votes
0 answers
294 views

Resources where one can find open problems in Analytic Number Theory

Edit: I have asked this question separately because I am in need of some resources which focus on analytic number theory only.So, this question is not a duplicate of:Resources where I can find open ...
16 votes
5 answers
4k views

Resources where I can find open problems in number theory along with their level of difficulty

NOTE: I will not accept an answer because a lot of answers are really good and if anyone want to post under this question later then they are most welcome to post as comment or answer because it will ...
20 votes
1 answer
2k views

LMS Lectures on Geometric Langlands

Everybody knows how insightful are David Ben-Zvi talks (and comments/answers here on mathoverflow). I was trying to watch the LMS 2007 Lecture Series on Geometric Langlands by David, supposedly made ...
195 votes
18 answers
17k views

Great graduate courses that went online recently

In 09.2020 by pure chance I discovered the YouTube channel of Richard Borcherds where he gives graduate courses in Group Theory, Algebraic Geometry, Schemes, Commutative Algebra, Galois Theory, Lie ...
3 votes
0 answers
148 views

Topologically characterizing metrizable spaces

There are some well-known theorems that imply that some metrizable spaces, when satisfying other topological properties, are unique up to homeomorphism. Here are a few examples, where "perfect&...
18 votes
4 answers
4k views

Are there any recordings of Grothendieck online?

Illusie mentions tape recordings of Grothendieck explaining his trace formula and more. Are they or similar recordings online? I guess, even if (what I doubt) everything he thought about that is ...