looking for volunteers! the idea is to start a collaborative, open source, open/network-science-based attack on the boundaries and frontiers of mathematics and computer science. esp seeking students and researchers/academics in mathematics and computer science.

just leave a reply if interested. tell a little about yourself and any more detail about what you’re interested in. (see also chat or open science/ collaboration/ collective intelligence news/ stories/ links etc.)

model resources/ results for projects along these lines:

- Polymath project(s) by “DHJ Polymath”
- Reinventing discovery—the new era of networked science, by Nielsen

more recently the crack international Polymath cyberteam succeeded in dramatically improving the breakthrough/ historic Zhang twin prime result!

- Together and Alone, Closing the Prime Gap Klarreich/ Simons institute
- New equidistribution estimates of Zhang type, and bounded gaps between primes / DHJ Polymath, arxiv
- THE “BOUNDED GAPS BETWEEN PRIMES” POLYMATH PROJECT – A RETROSPECTIVE / DHJ Polymath, arxiv

these are six short dramatic accounts of two singularly notable, historic, basically successful collaborative projects launched within the last few years and which received widespread/major media and scientific attention, the Gowers DHJ theorem project and the Deolalikar proof cyberspatial group evaluation/refereeing.

- Mathematics by collaboration — The Polymath project harnesses the power of the Internet to use massive collaboration to solve a major problem in record time / by Julie Rehmeyer, ScienceNews (2009)
- Massively Collaborative Mathematics / Rehmeyer, SIAM (2010)
- A tale of a serious attempt at P≠NP by Lipton, CACM (2010)
- Crowdsourcing peer review — A claimed proof that P≠NP spurs a massive collaborative research effort Julie Rehmeyer (2010)
- Step 1: Post Elusive Proof. Step 2: Watch Fireworks / Markoff, NYT (2010)
- Tide turns against million-dollar maths proof / New Scientist

these are two detailed scientific papers analyzing the DHJ theorem attack dynamics.

- The Polymath Project: Lessons from a Successful Online Collaboration in Mathematics, Cranshaw and Kittur
- Polymath1 and the Modalities of ‘Massively Collaborative Mathematics’, Barany

Daniel M.Very interesting. Sure makes we dream of harnessing that power into one of our favorite curious mathematical or conceptual topics with potential for exploration.

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Michael WeharI’m glad that you’re passionate about this. Here are some of my initial thoughts.

I think maybe you should start by picking just a few very specific problems and providing all the appropriate resources related to these problems.

I think that step 1 would be to get a few specialized and interested people to join your attack on these specific problems. Step 2 would be to branch out incrementally to more general and broad topics/problems (or groups of people).

One time I had the idea of there being a website called openproblems.com where people could post there problem and there would be a list of all related literature and all proposed solutions and all community discussions (all neatly organized). Then, people could vote and there would be a ranked list of all of them.

Then, I realized that although stackexchange is not this, it already has a community and accomplishes some of this. Math is a somewhat specialized subject and you would have to compete to take people from stackexchange to your site. After talking with a friend in business about his start-up project, he told me a lot about his plans to get a very specialize audience and gradually branch out in phases. I liked his plan and that’s where my step 1 and step 2 came from.

At some point, I’ll check back to see if you get any volunteers. Hope all is well and I appreciate always seeing your positive presence on stackexchange. 🙂

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taritgoswami1I am very much interested to work on open problems on NT. 🙂