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 Alef Corner: Math Collaboration
 Alef’s Corner: Math Collaboration 2
 To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer
 To cheer you up in difficult times 10: Noam Elkies’ Piano Improvisations and more
 Quantum Matters
 To cheer you up in difficult times 9: Alexey Pokrovskiy proved that Rota’s Basis Conjecture holds asymptotically
 To Cheer you up in Difficult Times 8: Nathan Keller and Ohad Klein Proved Tomaszewski’s Conjecture on Randomly Signed Sums
 Noam Lifshitz: A new hypercontractivity inequality — The proof!
 To cheer you up in difficult times 7: Bloom and Sisask just broke the logarithm barrier for Roth’s theorem!
Top Posts & Pages
 TYI 30: Expected number of Dice throws
 Quantum Matters
 Gil's Collegial Quantum Supremacy Skepticism FAQ
 To Cheer you up in Difficult Times 8: Nathan Keller and Ohad Klein Proved Tomaszewski's Conjecture on Randomly Signed Sums
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 A sensation in the morning news  Yaroslav Shitov: Counterexamples to Hedetniemi's conjecture.
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 Extremal Combinatorics IV: Shifting
 Are Natural Mathematical Problems Bad Problems?
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Category Archives: Analysis
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
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
Remarkable New Stochastic Methods in ABF: Ronen Eldan and Renan Gross Found a New Proof for KKL and Settled a Conjecture by Talagrand
The main conjecture from Talagrand’s paper on boundaries and influences was settled by Ronen Eldan and Renan Gross. Their paper introduces a new powerful method to the field of analysis of Boolean functions (ABF). This post is devoted to … Continue reading
Posted in Analysis, Combinatorics, Probability
Tagged Michel Talagrand, Renan Gross, Ronen Eldan
5 Comments
Amazing: Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen proved that MIP* = RE and thus disproved Connes 1976 Embedding Conjecture, and provided a negative answer to Tsirelson’s problem.
A few days ago an historic 160page paper with a very short title MIP*=RE was uploaded to the arXive by Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen. I am thankful to Dorit Aharonov and Alon Rosen … Continue reading
Posted in Algebra, Analysis, Combinatorics, Computer Science and Optimization, Physics, Quantum
Tagged Anand Natarajan, Henry Yuen, John Wright, Thomas Vidick, Zhengfeng Ji
13 Comments
Abel in Jerusalem – SUNDAY, January 12, 2020, and other events
Update: Boris Solomyak’s birthday conference (January 1314, BarIlan University)is now added. I would like to report on seven eight nine ten mathematical events taking place in Jerusalem, the Tel Aviv area, and Haifa in the next few weeks. (Probably I … Continue reading
Paul Balister, Béla Bollobás, Robert Morris, Julian Sahasrabudhe, and Marius Tiba: Flat polynomials exist!
Béla Bollobás and Paul Erdős at the University of Cambridge in 1990. Credit George Csicsery (from the 1993 film “N is a Number”) (source) (I thank Gady Kozma for telling me about the result.) An old problem from analysis with a … Continue reading
Posted in Analysis, Combinatorics
Tagged Béla Bollobás, Flat polynomials, Julian Sahasrabudhe, Marius Tiba, Paul Balister, Robert Morris
1 Comment
Jean
Jean Bourgain and Joram Lindenstrauss. I was very sad to hear that Jean Bourgain, among the greatest mathematicians of our time, and a dear friend, passed away. I first met Jean about forty years ago and later we became friends … Continue reading
Posted in Analysis, Combinatorics, Computer Science and Optimization, Convexity, Number theory, Obituary
Tagged Jean Bourgain
5 Comments
Three Conferences: Joel Spencer, April 2930, Courant; Joel Hass May 2022, Berkeley, Jean Bourgain May 2124, IAS, Princeton
Dear all, I would like to advertise three promisingtobe wonderful mathematical conferences in the very near future. Quick TYI. See if you can guess the title and speaker for a lecture described by “where the mathematics of Cauchy, Fourier, Sobolev, … Continue reading
Posted in Analysis, Combinatorics, Conferences, Geometry, Updates
Tagged Jean Bourgain, Joel Hass, Joel Spencer
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NavierStokes Fluid Computers
Smart fluid Terry Tao posted a very intriguing post on the NavierStokes equation, based on a recently uploaded paper Finite time blowup for an averaged threedimensional NavierStokes equation. The paper proved a remarkable negative answer for the regularity conjecture for a certain … Continue reading