Timeline

Date	General	Uniformity	Ergodic theory	Small n
Jan 26	Nielsen: Doing science online
Jan 27	Gowers: Is massively collaborative mathematics possible?
Jan 28	Kalai: Mathematics, science, and blogs
Jan 30	Gowers: Background to a polymath project Nielsen: Is massively collaborative mathematics possible?
Feb 1	Gowers: Questions of procedure Gowers: A combinatorial approach to DHJ (1-199) Gowers: Why this particular problem? Tao: A massively collaborative mathematical project Trevisan: A people's history of mathematics	Solymosi.2: IP-corners problem proposed Tao.4: Analytic proof of Sperner? Regularisation needed? Hoang.4: Naive Varnavides for DHJ fails	Gowers.1: Carlson-Simpson theorem useful? Tao.4: Stationarity useful?
Feb 2		Gowers.9: Reweighting vertices needed for Varnavides? Tao.17: Should use [math]\displaystyle{ O(\sqrt{n}) }[/math] wildcards Tao.18: Use rich slices? Gowers.19: Collect obstructions to uniformity! Kalai.29: Fourier-analytic proof of Sperner? O'Donnell.32: Use uniform distribution on slices Gowers.38: Can't fix # wildcards in advance Tao.39: Can take # wildcards to be O(1) Bukh.44: Obstructions to Kruskal-Katona?		Tao.8: [math]\displaystyle{ c_0=1 }[/math], [math]\displaystyle{ c_1=2 }[/math], [math]\displaystyle{ c_2=6 }[/math], [math]\displaystyle{ 3^{n-O(\sqrt{n}} \leq c_n \leq o(3^n) }[/math] Kalai.15: [math]\displaystyle{ c_n \gg 3^n/\sqrt{n} }[/math] Tao.39: [math]\displaystyle{ c_n \geq 3^{n-O(\sqrt{\log n})} }[/math] Tao.40: [math]\displaystyle{ c_3=18 }[/math] Elsholtz.43: Moser(3)?
Feb 3	Nielsen: The polymath project	Gowers.64: Use local equal-slices measure? Gowers.70: Collection of obstructions to uniformity begins Tao.86: Use Szemeredi's proof of Roth?		Jakobsen.59: [math]\displaystyle{ c_4 \geq 49 }[/math] Tao.78: [math]\displaystyle{ c_4 \leq 54 }[/math] Neylon.83: [math]\displaystyle{ 52 \leq c_4 \leq 54 }[/math], [math]\displaystyle{ 140 \leq c_5 \leq 162 }[/math]
Feb 4	Gowers: Quick question	Tao.100: Use density incrementation? Tao.118: Szemeredi's proof of Roth looks inapplicable		Jakobsen.90: [math]\displaystyle{ c_4=52 }[/math]
Feb 5		Tao.130: DHJ(2.5)? Bukh.132, O'Donnell.133, Solymosi.135: Proof of DHJ(2.5) Tao.148: Obstructions to uniformity summarised		Tao: Upper and lower bounds for DHJ (200-299)
Feb 6		Solymosi.155 Pair removal for Kneser graphs Gowers: The triangle removal approach (300-399)		Neylon.201 Greedy algorithm Tao.206 Use [math]\displaystyle{ D_n }[/math]
Feb 7		Gowers.335 DHJ(j,k) introduced		Jakobsen.207 [math]\displaystyle{ c_5 \geq 150 }[/math], [math]\displaystyle{ c_6 \geq 450 }[/math] Peake.217 [math]\displaystyle{ c_7 \geq 1308 }[/math], [math]\displaystyle{ c_8 \geq 3780 }[/math] Peake.218 Lower bounds up to [math]\displaystyle{ c_{15} }[/math]
Feb 8		Gowers: Quasirandomness and obstructions to uniformity (400-499) Ajtai-Szemeredi approach proposed Tao.402 Standard obstruction to uniformity? Gowers.403 Complexity 1 sets are more fundamental obstructions Gowers.411 Are global complexity 1 sets the only obstructions?		Peake.219 [math]\displaystyle{ c_{99} \geq 3^{98} }[/math] Tao.225 Spreadsheet set up
Feb 9	Nielsen: Update on the polymath project	Bukh.412 Negative answer to Gowers' question Gowers.365 Equal slices measure introduced Tao.419 Use low-influence instead of complexity 1? Gowers.420 Need DHJ(0,2) Tao.431 Use local obstructions rather than global obstructions?		Kalai.233 Higher k?
Feb 10		Tao.439 Use hypergraph regularity?		Peake.241 [math]\displaystyle{ c_5 \leq 155 }[/math]; xyz notation Peake.243 [math]\displaystyle{ c_5 \leq 154 }[/math]
Feb 11	Tao.470: Proto-wiki created	Tao.451 01-insensitive case OK Kalai.455 Hyper-optimistic conjecture	Tao.460 Connections with ergodic approach Tao: A reading seminar on DHJ (600-699)	Tao.249: [math]\displaystyle{ \overline{c}^\mu_0 = 1 }[/math], [math]\displaystyle{ \overline{c}^\mu_1 = 2 }[/math], [math]\displaystyle{ \overline{c}^\mu_2 = 4 }[/math] Dyer.254 [math]\displaystyle{ \overline{c}^\mu_3 = 6 }[/math]
Feb 12	Wiki set up	O'Donnell.476 Fourier-analytic Sperner computations McCutcheon.480 Strong Roth theorem proposed		Jakobsen.257 [math]\displaystyle{ \overline{c}^\mu_4 = 9 }[/math] Jakobsen.258 [math]\displaystyle{ \overline{c}^\mu_5 = 12 }[/math] Peake.262 Extremisers for [math]\displaystyle{ c_4 }[/math]
Feb 13		Gowers: Possible proof strategies (500-599)	McCutcheon.505 IP uniformity norms? Tao.614 Carlson-Simpson not needed for stationarity	Tao: Bounds for first few DHJ numbers (700-799)
Feb 14		Gowers.496: Equal slices implies uniform	McCutcheon.508 Ergodic proof strategy Tao.618 More randomness needed to invert maps O'Donnell.622 [math]\displaystyle{ [3]^n }[/math] should already provide enough randomness Tao.510 Finitary analogue of stationarity	Sauvaget: A proof that [math]\displaystyle{ c_5=154 }[/math]?
Feb 15		Tao.498: Uniform implies equal slices Tao.514 DHJ(2.6) proposed McCutcheon.518 Ramsey proof of DHJ(2.6)		Sauvaget: A new strategy for computing [math]\displaystyle{ c_n }[/math] Markström.706: Integer program, [math]\displaystyle{ c_5=150 }[/math] Cantwell.708: [math]\displaystyle{ c_6=450 }[/math]
Feb 16		Tao.524 Simplification of proof O'Donnell 529 Ramsey-free proof of DHJ(2.6)? McCutcheon.533 Ramsey theory incompatible with symmetry	Tao.626 Ramsey theorems summarised	Peake.730 [math]\displaystyle{ c_5 }[/math] extremisers Tao.731 Human proof that [math]\displaystyle{ c_5 \leq 152 }[/math]; [math]\displaystyle{ c_7 \leq 1348 }[/math]
Feb 17		Tao.536 Fourier-analytic proof of DHJ(2.6) McCutcheon.541 "Cave-man" proof of DHJ(2.6)		Chua.736 [math]\displaystyle{ c'_5 \geq 124 }[/math] Peake.738 Connection between Moser(3) and sphere packing
Feb 18		Gowers.544 Corners(1,3)? Gowers.545 Fourier computations on equal-slices measure begin		Markström.739 [math]\displaystyle{ c_6 }[/math] extremiser unique
Feb 19				Markström.742 43-point Moser sets in [math]\displaystyle{ [3]^4 }[/math] listed Peake.743 43-point sets analysed Cantwell.744 [math]\displaystyle{ c'_5 \leq 128 }[/math] Tao.745 50+ point line-free sets in [math]\displaystyle{ [3]^4 }[/math] listed
Feb 20	Vipulniak: [1]	Solymosi.563 Moser(6) implies DHJ(3)	Tao.630 IP convergence lemma	Markström.747 42-point Moser sets listed Peake.751 Human proof of [math]\displaystyle{ c_5 \leq 151 }[/math]
Feb 21	Gowers: To thread or not to thread	Gowers.580 Extreme localisation + density increment = DHJ(3)? Gowers.581 Multidimensional Sperner Gowers.582 Use Ajtai-Szemeredi argument to get density increment?	Tao.631 Informal combinatorial translation of ergodic DHJ(2) Tao.578 Finitary ergodic proof of DHJ(2) proposed Tao.632 Special cases of DHJ(3) translated	Peake.752 Human proof of [math]\displaystyle{ c_5=150 }[/math], [math]\displaystyle{ c_6=450 }[/math] Tao.753 Sequences submitted to OEIS
Feb 22
Feb 23		McCutcheon.593 DHJ(2.7) O'Donnell.596 Fourier-analytic proof of DHJ(2) Gowers: Brief review of polymath1 (800-849) O'Donnell.800 Fourier-analytic + density increment proof of DHJ(2)		Markström.463 42-point Moser sets analysed Tao.464 [math]\displaystyle{ c'_5 \leq 127 }[/math] Chua.766 3D Moser sets with 222 have [math]\displaystyle{ \leq 13 }[/math] points Tao.767 4D Moser sets with 2222 have [math]\displaystyle{ \leq 39 }[/math] points
Feb 24		Tao.809.2: Low-influence implies Sperner-positivity Gowers.812: Fourier vs physical positivity O'Donnell.814: [math]\displaystyle{ \ell_1 }[/math], [math]\displaystyle{ \ell_2 }[/math] equivalence
Feb 25		Gowers.820 Density increment on complexity 1 set	Tao.818 Finitary ergodic sketch of DHJ(3) O'Donnell.821 Simplified Fourier proof of DHJ(2) structure theorem	Cantwell.769: 5D Moser sets with 2222* have [math]\displaystyle{ \leq 124 }[/math] points Peake.771: Exotic 43-point Moser sets described
Feb 26		Gowers.824: Complexity 1 + Ajtai-Szemeredi DHJ(3) sketch
Feb 27		Tao.826: Non-Fourier proof of DHJ(2) structure theorem Gowers.828: Does correlation with 1-set imply density increment? Tao.828.4: Energy increment proof for Gowers Q?	McCutcheon.832.2: Use dense fibres to answer Gowers Q?	Elsholtz.775: Human proof of 2222* result Cantwell.776: [math]\displaystyle{ c'_5 \leq 126 }[/math]
Feb 28		Tao.834 Use pullbacks for Gowers Q? Gowers.835 Pullbacks don't work O'Donnell 839 Increment-free Fourier proof of DHJ(2)	Tao.837.2 Dense fibres argument for Gowers Q	Markström.779: 41-point Moser sets listed
Mar 1				Cantwell.782, Peake.784: [math]\displaystyle{ c'_5 \leq 125 }[/math]
Mar 2		Gowers: DHJ 851-899