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Author Archives: Gil Kalai
Alef Corner: Math Collaboration
Another artistic view by Alef on mathematical collaboration. Other Alef’s corner posts
Alef’s Corner: Math Collaboration 2
Other Alef’s corner posts
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 Sabine Hossenfelder, Tom Lehrer
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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
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
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
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 Boguslav Tomaszewski, Nathan Keller, Ohad Klein
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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
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
