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 Friendship and Sesame, Maryam and Marina, Israel and Iran
 Elchanan Mossel’s Amazing Dice Paradox (your answers to TYI 30)
 TYI 30: Expected number of Dice throws
 Test your intuition 29: Diameter of various random trees
 Micha Perles’ Geometric Proof of the ErdosSos Conjecture for Caterpillars
 Touching Simplices and Polytopes: Perles’ argument
 Where were we?
 Call for nominations for the Ostrowski Prize 2017
 Problems for Imre Bárány’s Birthday!
Top Posts & Pages
 Friendship and Sesame, Maryam and Marina, Israel and Iran
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 TYI 30: Expected number of Dice throws
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Test your intuition 29: Diameter of various random trees
 Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
 Where were we?
 Test your intuition 28: What is the most striking common feature to all these remarkable individuals
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
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Author Archives: Gil Kalai
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
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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
The Median Game
Update: Apparently this game was invented already by Douglas Hofstadter who called it “Mediocrity” and it is published in Hofstadter’s book Metamagical Themas: Questing for the Essence of Mind and Pattern. It is also called “Hruska.” (See here and here.) Ehud Friedgut … Continue reading
International mathematics graduate studies at the Hebrew University of Jerusalem
I am very happy to announce that a Ph. D program in mathematics for international students at the Hebrew University of Jerusalem is now open. Here is the link to the home page. About the program The Einstein Institute of … Continue reading
Posted in Academics, Teaching, Updates
Tagged Einstein Institute of Mathematics, Graduate program, Updates
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