Recent Comments

Recent Posts
 Call for nominations for the Ostrowski Prize 2017
 Problems for Imre Bárány’s Birthday!
 Twelves short videos about members of the Department of Mathematics and Statistics at the University of Victoria
 Jozsef Solymosi is Giving the 2017 Erdős Lectures in Discrete Mathematics and Theoretical Computer Science
 Updates (belated) Between New Haven, Jerusalem, and TelAviv
 Oded Goldreich Fest
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
 Around the GarsiaStanley’s Partitioning Conjecture
 My Answer to TYI 28
Top Posts & Pages
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Extremal Combinatorics III: Some Basic Theorems
 Is Mathematics a Science?
 The KadisonSinger Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava
 Stefan Steinerberger: The Ulam Sequence
 My Quantum Debate with Aram Harrow: Timeline, Nontechnical Highlights, and Flashbacks I
 Ehud Friedgut: Blissful ignorance and the KahnemanTversky paradox
 When It Rains It Pours
RSS
Author Archives: Gil Kalai
R(5,5) ≤ 48
The Ramsey numbers R(s,t) The Ramsey number R(s, t) is defined to be the smallest n such that every graph of order n contains either a clique of s vertices or an independent set of t vertices. Understanding the values … Continue reading
Posted in Combinatorics, Open problems, Updates
Tagged Brendan D. McKay, Vigleik Angeltveit
Leave a comment
Test Your Intuition (27) 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
Leave a comment
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
Leave a comment
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
7 Comments
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
2 Comments
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