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 Alef Corner: ICM2022
 The probabilistic proof that 2^400593 is a prime: a revolutionary new type of mathematical proof, or not a proof at all?
 With Avi at Suzanna
 Meeting Michael H. at Rio
 What is mathematics (or at least, how it feels)
 Alef’s Corner
 To cheer you up in difficult times 22: some mathematical news! (Part 1)
 Cheerful News in Difficult Times: The Abel Prize is Awarded to László Lovász and Avi Wigderson
 Amazing: Feng Pan and Pan Zhang Announced a Way to “Spoof” (Classically Simulate) the Google’s Quantum Supremacy Circuit!
Top Posts & Pages
 Alef Corner: ICM2022
 The probabilistic proof that 2^400593 is a prime: a revolutionary new type of mathematical proof, or not a proof at all?
 TYI 30: Expected number of Dice throws
 Cheerful News in Difficult Times: The Abel Prize is Awarded to László Lovász and Avi Wigderson
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 The Argument Against Quantum Computers  A Very Short Introduction
 With Avi at Suzanna
 To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer
 Konstantin Tikhomirov: The Probability that a Bernoulli Matrix is Singular
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Monthly Archives: March 2019
Is it Legitimate/Ethical for Google to close Google+?
Update April 2, 2019: the links below are not working anymore. Google Plus is a nice social platform with tens of millions participants. I found it especially nice for scientific posts, e.g. by John Baez, Moshe Vardi, or about symplectic … Continue reading
10 Milestones in the History of Mathematics according to Nati and Me
Breaking news: David Harvey and Joris Van Der Hoeven. Integer multiplication in time O(nlogn). 2019. (I heard about it from Yoni Rozenshein on FB (חפירות על מתמטיקה); update GLL post. ) _____ Update: There were many interesting comments here and … Continue reading
TYI38 Lior Kalai: Monty Hall Meets Survivor
For breaking news, scroll down. Lior Kalai: Survivor Meets the Monty Hall Puzzle We start with the classical question and go on with a new version contributed by my son Lior. Update: A few brief comments on the original problem … Continue reading
Posted in personal, Probability, Riddles, Test your intuition, Women in science
Tagged Karen Uhlenbeck, Lior Kalai, Monty Hall problem, Survivor
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News on Fractional Helly, Colorful Helly, and Radon
My 1983 Ph D thesis was on Hellytype theorems which is an exciting part of discrete geometry and, in the last two decades, I have had an ongoing research project with Roy Meshulam on topological Hellytype theorems. The subject found … Continue reading
8866128975287528³+(8778405442862239)³+(2736111468807040)³
Update: The result was achieved by Andrew Booker from Bristol. Here is the preprint Cracking the problem with 33. It is a notoriously difficult open problem which integers can be written as the sum of three integer cubes. Such integers … Continue reading
Test Your Intuition (or simply guess) 37: Arithmetic Progressions for Brownian Motion in Space
Consider a Brownian motion in three dimensional space. What is the largest number of points on the path described by the motion which form an arithmetic progression? (Namely, , so that all are equal.) A 2D picture; In … Continue reading
Test Your Intuition (or knowledge, or programming skills) 36
How much is The product ranges over all primes. In other words, Just heard it from Avinoam Mann.
Bob Sedgewick’s Free Online Courses on Analysis of Algorithms and Analytic Combinatorics.
Philippe Flajolet 19482011 I am happy to forward the announcement on two free online courses (Mooks) by Bob Sedgewick Analysis of Algorithms and Analytic Combinatorics. Analysis of Algorithms page provides access to online lectures, lecture slides, and assignments for … Continue reading