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DHJ(3): 1100-1199 (Density Hales-Jewett type numbers)
This is a continuation of the 900-999 thread of the polymath1 project, which is now full. We’ve made quite a bit of progress so far on our original mission of bounding density Hales-Jewett numbers....
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DHJ(k): 1200-1299 (Density Hales-Jewett type numbers)
This is a continuation of the 1100-1199 thread of the polymath1 project, which is now full. The focus has now mostly shifted to generalisations of the previous problems being studied to larger...
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Polymath1 and three new proofs of the density Hales-Jewett theorem
This week I gave a talk at UCLA on some aspects of polymath1 project, and specifically on the three new combinatorial proofs of the density Hales-Jewett theorem that have been obtained as a...
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DHJ: Writing the second paper
Now that the quarter is nearing an end, I’m returning to the half of the polymath1 project hosted here, which focussed on computing density Hales-Jewett numbers and related quantities. The purpose of...
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DHJ: Still writing the second paper
This is a continuation of the previous thread here in the polymath1 project, which is now full. Ostensibly, the purpose of this thread is to continue writing up the paper containing many of the things...
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DHJ: Writing the second paper III.
This is a continuation of the preceding two threads here on the polymath1 project, which are now full. We are closing on on the computation of the sixth Moser number – the size of the largest subset...
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A new proof of the density Hales-Jewett theorem
The polymath1 project has just uploaded to the arXiv the paper “A new proof of the density Hales-Jewett theorem“, to be submitted shortly. Special thanks here go to Ryan O’Donnell for performing the...
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Density Hales-Jewett and Moser numbers
I’ve just uploaded the D.H.J. Polymath article “Density Hales-Jewett and Moser numbers” to the arXiv, submitted to the Szemeredi birthday conference proceedings. This article investigates the Density...
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DHJ Polymath paper accepted
Ordinarily, I only mention my research papers on this blog when they are first submitted, or if a major update is required. With the paper arising from the DHJ Polymath “Low Dimensions” project,...
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Some links
Michael Nielsen has posted a draft of his article “Introduction to the Polymath Project and “Density Hales-Jewett and Moser Numbers”” for comments, which will precede our own polymath article in the...
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