Author Archives: Gil Kalai

Alef Corner: Math Collaboration

Another artistic view by Alef on mathematical collaboration.   Other Alef’s corner posts

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Alef’s Corner: Math Collaboration 2

Other Alef’s corner posts

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To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer

Enjoy! To cheer you up in difficult times here are songs by Sabine Hossenfelder and by Tom Lehrer. I like the music and lyrics and the unusual combination of science, humor and satire. Sabine Hossenfelder : Outer space* Tom Lehrer: … Continue reading

Posted in Music, Physics, Poetry, What is Mathematics, Women in science | Tagged , | 1 Comment

To cheer you up in difficult times 10: Noam Elkies’ Piano Improvisations and more

For the previous post “quantum matters” click here. Noam D. Elkies piano improvisations Every day since March 27, 2020 Noam Elkies (Noam’s home page) uploaded a new piece of piano improvisation. The Hebrew title of his page is “Music will … Continue reading

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Quantum Matters

A comparison between the Google estimator U for the fidelity and two improved estimators that we studied  MLE (maximum likelihood estimator) and V (a variant of U). (More figures at the end of the post.) Here are some links on … Continue reading

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To cheer you up in difficult times 9: Alexey Pokrovskiy proved that Rota’s Basis Conjecture holds asymptotically

Pokrovskiy’s startling morning  rainbow Rota’s Basis Conjecture holds asymptotically, by Alexey Pokrovskiy Abstract: Rota’s Basis Conjecture is a well known problem from matroid theory, that states that for any collection of n bases in a rank n matroid, it is … Continue reading

Posted in Combinatorics, Updates | Tagged , , | 14 Comments

To Cheer you up in Difficult Times 8: Nathan Keller and Ohad Klein Proved Tomaszewski’s Conjecture on Randomly Signed Sums

Today we talk about the paper, Proof of Tomaszewski’s Conjecture on Randomly Signed Sums, by Nathan Keller and Ohad Klein. Consider a unit vector That is . Consider all () signed sums where each is either 1 or -1. Theorem … Continue reading

Posted in Analysis, Combinatorics, Probability | Tagged , , | 11 Comments

Noam Lifshitz: A new hypercontractivity inequality — The proof!

This is a guest post kindly contributed by Noam Lifshitz. Here is a pdf version.  This post is a continuation of the post  To cheer you up in difficult times 3: A guest post by Noam Lifshitz on the new … Continue reading

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To cheer you up in difficult times 7: Bloom and Sisask just broke the logarithm barrier for Roth’s theorem!

Thomas Bloom and Olof Sisask: Breaking the logarithmic barrier in Roth’s theorem on arithmetic progressions,    arXiv:200703528   Once again Extraordinary news regarding Roth Theorem! (I thank Ryan Alweiss for telling me about it and Rahul Santhanam for telling me … Continue reading

Posted in Algebra, Combinatorics, Updates | Tagged , | 20 Comments

To cheer you up in difficult times 6: Play Rani Sharim’s two-player games of life, read Maya Bar-Hillel presentation on catching lies with statistics, and more.

Sorry for the long blog silence. In this post I wish to give a few links each of which probably deserves a full post. I will start with Rani Sharim’s two-player variants of John Conway’s game-of-life Here is a web-page … Continue reading

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