Euclidean Ramsey Theory

Mini-polymath3

kristalcantwell — Tue, 19 Jul 2011 23:12:38 +0000

The mini-polymath3 was today. Here is the research thread.
The wiki is here. There is a discussion thread here.

There was a solution after 74 minutes.

Computer Problems

kristalcantwell — Sun, 17 Jul 2011 17:50:54 +0000

I am going to working on the computer the next few days. Because of this I may be off the internet.

Mini-Polymath 3

kristalcantwell — Fri, 10 Jun 2011 19:34:17 +0000

There will be a mini-polymath project around July 19th. There is a poll on the possible starting time here.

I am still having computer problems so my posts may be sporadic for the next couple of months.

Let me update this. The time of the mini-polymath will be
July 19 8pm UTC. That is 1pm July 19, Los Angeles time. I found that out here. Also see this post.

Polymath4

kristalcantwell — Wed, 01 Jun 2011 20:22:02 +0000

The proofs for the article “Deterministic methods to find primes” will appear in Mathematics of Computation but not with a pseudonym. Apparently Mathematics of Computation had a problem with that. The authors will be Ernie Croot, Harald Helfgott and Terence Tao. See this post.

Possible Polymath Project

kristalcantwell — Thu, 12 May 2011 19:40:37 +0000

There is a proposal for a new Polymath project here. Also see this post.

I have been off the internet for a few days. I have just got back on. Until I replace the old computer I may have more problems with it. So there may be further interruptions.

Polymath3

kristalcantwell — Wed, 13 Apr 2011 19:37:58 +0000

There is a new thread for Polymath3. It is here.

Publications about collaborative mathematics and other topics

kristalcantwell — Wed, 09 Mar 2011 22:55:52 +0000

There was a discussion about polymath projects some of it was described here.

There was an article in the Atlantic about Math Overflow. It mentions the Polymath project. It is available here.

In _the Best Writing on Mathematics: 2010_ there is an article “Massively collaborative mathematics” by Timothy Gowers and Michael Nielsen.

the book _Ramsey Theory: Yesterday, Today, and Tomorrow_ contains an article about Euclidean Ramsey theory “Open problems in Euclidean Ramsey theory” by Ronald Graham and Eric Tressler. it is available here.

Finally there is an article “Memories of Martin Gardner” which appeared in the Notices of the AMS, volume 58, Number 3. It is available here.

Polymath4

kristalcantwell — Mon, 14 Feb 2011 19:21:53 +0000

There is a referee report for polymath4 from mathematics of computation. It is here. Also see this post. Let me update this the paper has been accepted.

Polymath6

kristalcantwell — Sun, 06 Feb 2011 21:58:20 +0000

Polymath6 has started. It is about improving the bounds for Roth’s theorem. See this post. Also there is a page on the polymath blog here. There is also a wiki here. Also see this post and this post.

Let me update this. There is a new post. Also see these remarks.

Hirsch Conjecture Counterexample 3

kristalcantwell — Fri, 21 Jan 2011 01:29:39 +0000

There is a counterexample to the Hirsch conjecture in 20 dimensions. The lowest number of dimensions that I was aware of previously was 23. See this post. Also There is a web page here, a poster for the IPAM conference here.

The IPAM congress also has a couple of presentations
related to polymath3. The IPAM congress schedule is here. There are two talks related Polymath3. One abstract is here, the other here.