Questions tagged [online-resources]
For questions seeking recommendations for online mathematics resources that are useful at a research level.
97
questions
52
votes
10
answers
6k
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 ...
2
votes
1
answer
32
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}...
- 459
1
vote
0
answers
64
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 ...
- 459
11
votes
1
answer
659
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
412
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 ...
- 161
1
vote
1
answer
167
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(...
- 459
1
vote
1
answer
63
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 ...
- 2,233
19
votes
6
answers
4k
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 ...
- 485
6
votes
1
answer
213
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 (...
- 495
6
votes
0
answers
490
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 ...
- 163
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 ...
- 119
35
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 ...
4
votes
0
answers
208
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 ...
2
votes
1
answer
1k
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"...
- 1,933
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 ...
1
vote
0
answers
632
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 ...
- 19
3
votes
0
answers
194
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
251
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 ...
- 668
1
vote
1
answer
81
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 ...
- 151
16
votes
5
answers
3k
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 ...
3
votes
0
answers
117
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&...
2
votes
1
answer
134
views
IOPsciences and a missing reference
My university has a subscription at IOPSciences
I am interesting in this article: Galochkin A.I. (1984): On estimates, unimprovable with respect to height, of some linear forms. Mat. Sb. 124 (166), ...
- 3,623
15
votes
4
answers
4k
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."
...
- 169
13
votes
0
answers
431
views
Where to upload digitized LaTeX versions of old papers?
Let's say I took the time to convert into proper modern LaTeX a few old math papers (which cannot be found online, or only in poorly scanned versions which are hard to read due to this). If someone ...
- 948
2
votes
0
answers
148
views
Ultra math search engine [duplicate]
Does anyone know searching engine for arxiv.org math formulas?
Like https://www.searchonmath.com and https://approach0.xyz/search/
In my opinion, we should have a search engine that can find formulas ...
- 21
6
votes
2
answers
363
views
Resource request on "$\in$-homomorphisms" in Set Theory
Very loosely put, this is the intuitive idea behind an $\in$-homomorphism:
Let $\mathcal{U}$ and $\mathcal{W}$ be universes of sets. A function $f \colon \mathcal{U} \to \mathcal{W}$ is said to be an $...
- 61
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 ...
2
votes
2
answers
253
views
Are old issues of math journals from Belarus Academy of Sciences available online?
I am interested in some papers in Russian which have appeared in the journals "Doklady Akademii Nauk BSSR" and "Vestsi Akademii Navuk BSSR". Are scanned copies available? I could ...
- 2,771
192
votes
18
answers
15k
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 ...
4
votes
0
answers
300
views
How to put a monetary incentive on an open research problem? [closed]
Since the old days, many famous mathematicians have been attaching monetary rewards to problems. I would like to put monetary bounties on some research mathematics problems. Some of those problems ...
1
vote
1
answer
150
views
Can any one suggest a very basic book for fuzzy graph theory?
Can anyone help with a very basic book on fuzzy graph theory for a beginner to it with good explanations.
Any video course online on fuzzy graph theory extensively to help understand please share link....
- 101
1
vote
0
answers
289
views
Online courses for mathematics [closed]
I'm sorry if I'm posting this in the wrong forum. My background is in biology and medicine. I am looking to re-learn undergraduate-level mathematics, in particular discrete mathematics, calculus, and ...
- 19
33
votes
3
answers
2k
views
Wiki for consequences of axiom of choice?
I raised the following question as part of another MO question, but I am following the suggestion of Nate Eldredge to make it a question in its own right.
For many years, there has a been a valuable ...
- 76.9k
32
votes
2
answers
2k
views
Wayback Machine for mathematics?
I have had a couple of experiences recently which have made me wonder whether the mathematics community should try to establish and maintain something like the Wayback Machine, but specifically ...
- 76.9k
2
votes
1
answer
197
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-...
- 173
3
votes
0
answers
282
views
Is the DispersiveWiki website down?
Somewhat recently I learned about a website called the DispersiveWiki which is/was maintained by James Colliander. I have found a few different links to the website from around the web (e.g. http://...
- 97
8
votes
0
answers
350
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 ...
- 4,354
1
vote
0
answers
70
views
Solution of the Mason-Weaver equation in cylindrical coordinates
I'd like to know if there is some litterature about the cylindrical Mason-Weaver equation.
The basic Mason-Weaver equation is treated in Wikipedia :
$$\partial_t f(t,x)=\partial_x f(t,x)+\partial_{...
- 121
29
votes
6
answers
1k
views
Online events during the quarantine
With many places on earth subjected to quarantine and large gathering prohibited, there are announcements of online seminars and talks open to people around the world. The talks can be conducted via ...
76
votes
31
answers
5k
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://...
15
votes
1
answer
504
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 ...
- 32.7k
14
votes
4
answers
2k
views
Is there a connection between representation theory and PDEs?
As a PhD student, if I want to do something algebraic / linear-algebraic such as representation theory as well as do PDEs, in both the theoretical and numerical aspects of PDEs, would this combination ...
- 159
22
votes
2
answers
830
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 ...
8
votes
1
answer
713
views
What has happened with the Publications of the $n$Lab?
What has happened with the Publications of the $n$Lab? They seem to have published only a couple of articles back in 2011, 2012. A little search i made was not very enlightening.
Has the project ...
- 7,628
10
votes
0
answers
255
views
Mirror site for the NIST Digital Library of Mathematical Functions (DLMF)
For research I use the NIST Digital Library of Mathematical Functions (https://dlmf.nist.gov/) quite often for looking up basic facts about special functions. At the moment, however, this gives
...
- 1,665
7
votes
1
answer
478
views
Polymath type websites for specialized areas
This question is inspired by the success and more importantly, the democratizing affect of the polymath projects and Mathoverflow. I put the idea in my NSF proposals a few times, but the panels don't ...
3
votes
0
answers
456
views
Eigenvectors of sum of SO(3) matrices
I asked this question before on MSE but go no answers. It seems that the problem is rather difficult so I thought of trying here. Given two matrices $A,B\in SO(n)$, each describing a rotation by ...
- 139
8
votes
2
answers
1k
views
The Stacks project
I have a question concerning the admirable Stacks Project.
Which comparable projects are there:
approach-wise: "an open source textbook on algebraic stacks and the algebraic geometry that is ...
- 9,548
34
votes
2
answers
4k
views
ICM 2018 lecture videos
Is there a place to watch ICM 2018 plenary lectures (and other lectures if possible)?
Here is the official Youtube channel of the ICM but they don't seem to be posting the lectures.
https://www....
- 3,292
3
votes
0
answers
210
views
Resource request: Moyal $\star$-product based calculations
I already asked two questions about the Moyal $\star$-product here and here but I think I'll have a lot more similar questions, so I'm wondering if anyone can help me with finding some good resources.
...
- 314