Goldbach's Conjurers Group
Let's use this discussion to brainstorm about possible interesting topics that you would like to write about / learn more about. Also, have a think about your name, else I'd just stay with Goldbach Conjecture (and perhaps you can help to solve it!)
Feel free to go wild here, there would be people interested in almost any topic that you can think of. This has the most potential to spinoff several small communities that bond over specific interesting topics/ideas. I'd be checking in once a while, so send me an email if need be.
Here are some suggestions:
1) Nicolae - problems or ideas I find exciting at the moment
2) Nicolae - a point of view on mathematical education,
3) Nicolae - a short topic explanation,
4) Nicolae - examination and discussion of fresh researches in mathematics
5) IMO proofs (there are several IMO participants in this group :) )
6) University level mathematics like Abstract Algebra, Topology, Analysis (?)
7) Topics in other disciplines that require math theory, like Game Theory, Chaos Theory, Information Theory, Coding Theory, etc.
Note by
Calvin Lin
7 years, 6 months ago
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I would like to write a short article about complex networks! Actually I work in that area so looks natural for me to start with that! I think many people would like networks a lot after reading about them!
So when are we actually going to start activity ?
We will be launching this upcoming week. The current targeted date is Thursday, and I will keep you updated along the way.
I would rather prefer to write a series on a particular topic (say 5-10 articles). Is that possible? If yes, I think I can write a series of 10 articles at least on "Complex networks".
Certainly. That will be exciting. I encourage everyone to write what interests them.
You can title your posts "Complex networks N", and tag them with "Goldbach Conjurer's Group" and "Complex networks", so that others can easily find your other posts.
Hmm.. thanks for that.. Just tell me when can I start so that I will start preparing the draft.. :)
Same question.
I will be highly interested in physics and calculus posts.
As would I. Those would be great. Judging from your solutions, I believe you are able to contribute in that area.
I may write short article on integrals, because I am curently working with them. I see two possible aproaches: a discussion of "olympiad" integrals (creative usage of standart theorems, inequalities) with examples from different National Olympiads; or a discussion of importance of the integrals as a topic, with bigger emphasis on real life applications (this means not only physics, but also numerical methods for calculation of integrals and calcualtion of the length of the function/volume of th rotational body). The first one will be easier for me to write, the second one I find more educational and interesting for larger audience. As soon as we decide which approach is btter I will start writing. Probably finishing the whole article will take about 2-4 days.
Also what about post rate? I think this is managers job, but I will explain my opinion on it. In the beginning, because of high interest, all group will produce about 2-3 articles in a short period of time. However, as the time goes, some of us may find this job too demanding. What I am trying to predict is that during the first few weeks we will have an ocean of the material, which will gradualy transform into little unstable brook. Thus there should be some kind of limit of posts published daily/weekly by group. Maybe something like: 1 short post (news/problem) per day and 1-2 long posts (article/topic discussion) per week. Maybe even something like Mathematical Review of the Month (what happened in mathematics during the month assuming both Olympiad and proffesional division, maybe with som links to other blogs/journals/magazines). However, this limit shouldn't imply low rate of production in the beginning! We just need to be aware of the fact that news posts must be fresh, while problem discussions and articles may be posted later than submitted.
As the solution to this issue I propose the following model: we make one additional group (as a subgroup of these 3 groups). This group will be concerned with news in mathematics. The group should be composed out of the guys who regularly surf reddit.com/r/math, read AMM and other solid mathematical magazines. Yet they should be skilled enough to spot and present in an interesting way the current state of mathematics. Basically it is a hard journalist job and I personally won't qualify, because of the simple lack of time. The rest of us will work ahead of time writing short articles, problem discussions and presenting interesting problems and soltuions, which may be posted on demand.
P.S. This is just my view of the situation, so feel free to express your critics and suggestions. I am subscribing to this thread and will try to respond as quickly, as possible.
I agree with you about schedule for publishing things. Otherwise there would simply be a chaos: sometimes there would be a flood and sometimes a complete famine. Subgroup idea is pretty interesting too but I think these subgroups should be dynamic.. I mean.. for a particular article or something, if there is a group of 3 guys, then that need not work together always in future. Also I think, we need not consult to brilliant much; we can do it ourselves. I think it would be good if brilliant gives us some special email ids or a facility to message each other. Why do you think?
That's the idea of talking on these discussions. We can create new discussions every month if it gets too long.
Currently, we do not plan to have a messaging system in the next few months. We also prefer to hold back email accounts, for privacy reasons. However, if everyone is agreeable (vote up/down on this comment), I can share the emails for this group if you find that it is easier to communicate that way.
Yes, ideally you will be publishing independently of Brilliant, i.e. we will not be proofreading or ensuring the accuracy of your posts. However, if you would like any assistance (even in proofreading), feel free to send me an email.
Amm.. I don't mind giving my email id to anybody.. But for other's privacy, I am asking if brilliant can give different id like [email protected] to members of publishing groups..
Although generally I am agreeing with you, I am not sure about completly detaching ourselves from the Brilliant stuff. I mean we will use Brilliant as a kind of blogging platform and we will be responsible for the content we produce. However, Brilliant also holds a part of that responsibility, so they also will be some how responsible for the managment of the groups. Of course on the level of simple issues we can do many things ourselves. I think the idea about dynamic groups has both its strengths and weaknesses. It has a nice point of dynamic, which will allow us to contribute when we have time and won't bind anyone. However, being completly dynamic could mean the lack of the group for uncertain periods of time. We need at least one person, let's call him hypothetically The Head of News Group, who will hold this position permanently or for at least 3 months and who's duty is to manage and coordinate the work in the section. The same proposal holds for Monthly Review.
Yup.. I am not saying that every subgroup should be changed every day.. thats for sure! As you said, there should either be some time constraint like one month or as I said, there should be something like subgroup for creation and editing for a particular article.
Also I am not saying that we should detach completely from Brilliant staff! Of course that we will no do! :) What I am saying is that if brilliant gives us some special email ids or way to send messages then it would be easy to fix small things easily.
In terms of post rate, I agree that there will be a high amount at the start, since we're brimming with ideas. It would be wise to ration it out slightly, but also bear in mind that there will be other members who would be interested in contributing (though at a much lower frequency). Having (dynamic) subgroups is a good idea, but would require further organization.
I would like to have 1-2 short posts per day. For long posts, my (current) opinion is that it could be better to split it up into 2-3 short posts, so that it would be easier for others to digest. They will not be put off by the length of the article, and could even gain some information/ideas from the first paragraph. However, that said, this would be up to you.
In terms of 'journalism', I think it would be better for us to link to such articles, as opposed to trying to present a spin of things. For example, we know that Zhang has an amazing (highly technical) proof that works towards the Goldbach Conjecture. There are several articles/blogs/polymath project which attempt to explain the ideas to the layman/undergrad. If we can find 1-2 well written articles and link them, that would be much easier/quicker than trying to rewrite these articles.
I believe the name is "Goldbach's Conjurers" or something, but even then it's not confirmed anyway. Dang. Who's the most groundbreaking mathematician in recent history? For some reason I'm thinking of naming "Appel-Haken" for their computer-assisted proof of the four color theorem in 1976 (also first computer-assisted proof), but that's not particularly great.
Regarding topics... I myself am interested in combinatorial game theory, although have preference towards combinatorics too. Wait, are we posting things as a group or as individuals?
The posts will happen with a tag of "Goldbach Conjurers Group" (and updated the title), through your own individual account. This way, others will be able to identify who the originator is, and also find similar interesting material through the tags.
As such, you do not need to choose 1 area to focus on. In fact, having a variety of posts would be preferable, so that you get a broad coverage. I anticipate that different people will focus on specific topics that interest them, and there isn't a requirement for cohesion as a group.
I have a suggestion: The problems posted by someone, can be linked to the poser's account, so that suppose my account serves as a reference to me as to which problems I created.