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Recent Posts
 My Very First Book “Gina Says”, Now Published by “World Scientific”
 Itai Benjamini: Coarse Uniformization and Percolation & A Paper by Itai and me in Honor of Lucio Russo
 AfterDinner Speech for Alex Lubotzky
 Boaz Barak: The different forms of quantum computing skepticism
 Bálint Virág: Random matrices for Russ
 Test Your Intuition 33: The Great Free Will Poll
 Mustread book by Avi Wigderson
 High Dimensional Combinatorics at the IIAS – Program Starts this Week; My course on Hellytype theorems; A workshop in Sde Boker
 Stan Wagon, TYI 23: Ladies and Gentlemen: The Answer
Top Posts & Pages
 My Very First Book "Gina Says", Now Published by "World Scientific"
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 Test your intuition 29: Diameter of various random trees
 TYI 30: Expected number of Dice throws
 'Gina Says'
 Believing that the Earth is Round When it Matters
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
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Search Results for: erdos
Polymath10 conclusion
The Polymath10 project on the ErdosRado DeltaSystem conjecture took place over this blog from November 2015 to May 2016. I aimed for an easygoing project that people could participate calmly aside from their main research efforts and the duration of … Continue reading
Posted in Combinatorics, Open problems, Polymath10
Tagged polymath10, sunflower conjecture
4 Comments
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 CrootLevPach paper I posted about yesterday (GK: see also my last post) can indeed be used to give a new bound … Continue reading
Posted in Combinatorics, Open problems, Updates
Tagged Cap sets, Dion Gijswijt, Ernie Croot, Jordan Ellenberg, Peter Pach, Seva Lev.
21 Comments
More Math from Facebook
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
Posted in Combinatorics, Mathematics over the Internet, Updates
Tagged Ernie Croot, Joel Moreira, Peter Pach, Vsevolod Lev
3 Comments
Polymath10post 4: Back to the drawing board?
It is time for a new polymath10 post on the ErdosRado Sunflower Conjecture. (Here are the links for post1, post2, post3.) Let me summarize the discussion from Post 3 and we can discuss together what directions to peruse. It is … Continue reading
News (mainly polymath related)
Update (Jan 21) j) Polymath11 (?) Tim Gowers’s proposed a polymath project on Frankl’s conjecture. If it will get off the ground we will have (with polymath10) two projects running in parallel which is very nice. (In the comments Jon Awbrey gave … Continue reading
Polymath 10 Post 3: How are we doing?
The main purpose of this post is to start a new research thread for Polymath 10 dealing with the ErdosRado Sunflower problem. (Here are links to post 2 and post 1.) Here is a very quick review of where we … Continue reading
Posted in Combinatorics, Mathematics over the Internet, Open problems, Polymath10
Tagged polymath10, sunflower conjecture
104 Comments
Polymath10, Post 2: Homological Approach
We launched polymath10 a week ago and it is time for the second post. In this post I will remind the readers what the ErdosRado Conjecture and the ErdosRado theorem are, briefly mention some points made in the previous post and in … Continue reading
Convex Polytopes: Seperation, Expansion, Chordality, and Approximations of Smooth Bodies
I am happy to report on two beautiful results on convex polytopes. One disproves an old conjecture of mine and one proves an old conjecture of mine. Loiskekoski and Ziegler: Simple polytopes without small separators. Does LiptonTarjan’s theorem extends to high … Continue reading
EDP Reflections and Celebrations
The Problem In 1932, Erdős conjectured: Erdős Discrepancy Conjecture (EDC) [Problem 9 here] For any constant , there is an such that the following holds. For any function , there exists an and a such that For any , … Continue reading
Updates and plans III.
Update on the great Noga’s Formulas competition. (Link to the original post, many cash prizes are still for grab!) This is the third “Updates and plans post”. The first one was from 2008 and the second one from 2011. Updates: Combinatorics and … Continue reading
Posted in Combinatorics, Conferences, Updates
10 Comments