- Updates (belated) Between New Haven, Jerusalem, and Tel-Aviv
- Oded Goldreich Fest
- The Race to Quantum Technologies and Quantum Computers (Useful Links)
- Around the Garsia-Stanley’s Partitioning Conjecture
- My Answer to TYI- 28
- Test your intuition 28: What is the most striking common feature to all these remarkable individuals
- R(5,5) ≤ 48
- Test Your Intuition (27) about the Alon-Tarsi Conjecture
- Thilo Weinert: Transfinite Ramsey Numbers
Top Posts & Pages
- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
- Borsuk's Conjecture
- A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
- Is Mathematics a Science?
- Oded Goldreich Fest
- Polymath10: The Erdos Rado Delta System Conjecture
- Symplectic Geometry, Quantization, and Quantum Noise
- Can Category Theory Serve as the Foundation of Mathematics?
- Two Math Riddles
Monthly Archives: May 2016
Polymath 10 post 6: The Erdos-Rado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
In earlier posts I proposed a homological approach to the Erdos-Rado sunflower conjecture. I will describe again this approach in the second part of this post. Of course, discussion of other avenues for the study of the conjecture are welcome. The purpose … Continue reading
While slowly writing Post 5 (now planned to be Post 6) of our polymath10 project on the Erdos-Rado sunflower conjecture, the very recent proof (see this post) that cap sets have exponentially small density has changed matters greatly! It implies … Continue reading
Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
A quote from a recent post from Jordan Ellenberg‘s blog Quomodocumque: Briefly: it seems to me that the idea of the Croot-Lev-Pach paper I posted about yesterday (GK: see also my last post) can indeed be used to give a new bound … Continue reading
David Conlon pointed out to two remarkable papers that appeared on the arxive: Joel Moreira solves an old problem in Ramsey’s theory. Monochromatic sums and products in . Abstract: An old question in Ramsey theory asks whether any finite coloring … Continue reading
Here is the abstract of a recent paper by Andrew Suk. (I heard about it from a Facebook post by Yufei Zhao. I added a link to the original Erdős Szekeres’s paper.) Let ES(n) be the smallest integer such that … Continue reading