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 Recent progress on high dimensional TuranType problems by Andrey Kupavskii, Alexandr Polyanskii, István Tomon, and Dmitriy Zakharov and by Jason Long, Bhargav Narayanan, and Corrine Yap.
 Open problem session of HUJICOMBSEM: Problem #1, Nati Linial – Turan type theorems for simplicial complexes.
 Péter Pál Pach and Richárd Palincza: a Glimpse Beyond the Horizon
 To cheer you up 14: Hong Liu and Richard Montgomery solved the Erdős and Hajnal’s odd cycle problem
 To cheer you up in difficult times 13: Triangulating real projective spaces with subexponentially many vertices
 Benjamini and Mossel’s 2000 Account: Sensitivity of Voting Schemes to Mistakes and Manipulations
 Test Your Intuition (46): What is the Reason for Maine’s Huge Influence?
 This question from Tim Gowers will certainly cheeer you up! and test your intuition as well!
 Three games to cheer you up.
Top Posts & Pages
 TYI 30: Expected number of Dice throws
 Péter Pál Pach and Richárd Palincza: a Glimpse Beyond the Horizon
 To cheer you up in difficult times 5: A New Elementary Proof of the Prime Number Theorem by Florian K. Richter
 Recent progress on high dimensional TuranType problems by Andrey Kupavskii, Alexandr Polyanskii, István Tomon, and Dmitriy Zakharov and by Jason Long, Bhargav Narayanan, and Corrine Yap.
 This question from Tim Gowers will certainly cheeer you up! and test your intuition as well!
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 Quantum computers: amazing progress (Google & IBM), and extraordinary but probably false supremacy claims (Google).
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Gil's Collegial Quantum Supremacy Skepticism FAQ
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Tag Archives: polymath1
The CapSet Problem and FranklRodl Theorem (C)
Update: This is a third of three posts (part I, part II) proposing some extensions of the cap set problem and some connections with the Frankl Rodl theorem. Here is a post presenting the problem on Terry Tao’s blog (March 2007). Here … Continue reading
Around the CapSet problem (B)
Part B: Finding special cap sets This is a second part in a 3part series about variations on the cap set problem that I studied with Roy Meshulam. (The first post is here.) I will use here a different notation than in part … Continue reading
An Open Discussion and Polls: Around Roth’s Theorem
Suppose that is a subset of of maximum cardinality not containing an arithmetic progression of length 3. Let . How does behave? We do not really know. Will it help talking about it? Can we somehow look beyond the horizon and try to guess what … Continue reading
Posted in Combinatorics, Open discussion, Open problems
Tagged Cap sets, polymath1, Roth's theorem, Szemeredi's theorem
29 Comments
Polymath1: Success!
“polymath” based on internet image search And here is a link to the current draft of the paper. Update: March 26, the name of the post originally entitled “Polymath1: Probable Success!” was now updated to “Polymath1: Success!” It is now becoming … Continue reading
Posted in Blogging, Combinatorics, What is Mathematics
Tagged Density HalesJewett theorem, polymath1, Tim Gowers
10 Comments
FranklRodl’s Theorem and Variations on the Cap Set Problem: A Recent Research Project with Roy Meshulam (A)
Voita Rodl I would like to tell you about a research project in progress with Roy Meshulam. (We started it in the summer, but then moved to other things; so far there are interesting insights, and perhaps problems, but not substantial … Continue reading
Posted in Combinatorics, Open problems
Tagged Cap sets, Extremal combinatorics, Intersection theorems, polymath1
10 Comments
Mathematics, Science, and Blogs
Michael Nielsen wrote a lovely essay entitled “Doing science online” about mathematics, science, and blogs. Michael’s primary example is a post over Terry Tao’s blog about the NavierStokes equation and he suggests blogs as a way of scaling up scientific conversation. Michael is writing … Continue reading
Posted in Blogging, What is Mathematics
Tagged Blogs, Michael Nielsen, Open science, polymath1, Tim Gowers
5 Comments