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Recent Posts
 Test Your Intuition about the AlonTarsi Conjecture
 Thilo Weinert: Transfinite Ramsey Numbers
 Timothy Chow Launched Polymath12 on Rota Basis Conjecture and Other News
 Proof By Lice!
 The seventeen camels riddle, and Noga Alon’s camel proof and algorithms
 Edmund Landau and the Early Days of the Hebrew University of Jerusalem
 Boolean Functions: Influence, Threshold, and Noise
 Laci Babai Visits Israel!
 Polymath10 conclusion
Top Posts & Pages
 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
 Extremal Combinatorics IV: Shifting
 The seventeen camels riddle, and Noga Alon's camel proof and algorithms
 Randomness in Nature
 In how many ways you can chose a committee of three students from a class of ten students?
 Randomness in Nature II
 The Erdős Szekeres polygon problem  Solved asymptotically by Andrew Suk.
 Thilo Weinert: Transfinite Ramsey Numbers
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Author Archives: Gil Kalai
Test Your Intuition about the AlonTarsi Conjecture
On the occasion of Polymath 12 devoted to the Rota basis conjecture let me remind you about the AlonTarsi conjecture and test your intuition concerning a strong form of the conjecture. The sign of a Latin square is the product … Continue reading
Posted in Combinatorics, Open problems, Test your intuition
Tagged AlonTarsi conjecture, Polymath12
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Thilo Weinert: Transfinite Ramsey Numbers
This is first of three posts kindly written by Thilo Weinert Recently Gil asked me whether I would like to contribute to his blog and I am happy to do so. I enjoy both finite and infinite combinatorics and it … Continue reading
Timothy Chow Launched Polymath12 on Rota Basis Conjecture and Other News
Polymath12 Timothy Chow launched polymath12 devoted to the Rota Basis conjecture on the polymathblog. A classic paper on the subject is the 1989 paper by Rosa Huang and Gian CarloRota. Let me mention a strong version of Rota’s conjecture (Conjecture … Continue reading
Posted in Combinatorics, Mathematics over the Internet, Movies, Music, Sport, Updates
Tagged Polymath12
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Proof By Lice!
From camels to lice. (A proof promised here.) Theorem (Hopf and Pannwitz, 1934): Let be a set of points in the plane in general position (no three points on a line) and consider line segments whose endpoints are in . Then … Continue reading
The seventeen camels riddle, and Noga Alon’s camel proof and algorithms
Three children inherited 17 camels. The will gave one half to one child, one third to a second child and one ninth to the third. The children did not know what to do and a neighbor offered to lend them … Continue reading
Edmund Landau and the Early Days of the Hebrew University of Jerusalem
Some personal/historical remarks in first minutes of my lecture at 7ECM on July 2016… GermanJewish mathematicians in the early days of the Hebrew University of Jerusalem Being invited to give a plenary lecture at the 7ECM was a great honor … Continue reading
Boolean Functions: Influence, Threshold, and Noise
Here is the written version of my address at the 7ECM last July in Berlin. Boolean functions, Influence, threshold, and Noise Trying to follow an example of a 1925 lecture by Landau (mentioned in the lecture), the writing style is very … Continue reading
Posted in Combinatorics, Computer Science and Optimization, Probability
Tagged Boolean functions
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Laci Babai Visits Israel!
I am sure that every one of the readers of this blog heard about Laci Babai’s quasipolynomial algorithm for graph isomorphism and also the recent drama about it: A mistake pointed out by Harald Helfgott, a new subexponential but … Continue reading
Posted in Combinatorics, Computer Science and Optimization, Updates
Tagged graph isomorphism, Laszlo Babai
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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
Is HeadsUp Poker in P?
Five years ago I wrote a post entitled Is Backgammon in P? It was based on conversations with Peter Bro Miltersen and Uri Zwick (shown together in the above picture) about the computational complexity of computing the values (and equilibrium … Continue reading