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 Some News from a Seminar in Cambridge
 Subspace Designs, Unit and Distinct Distances, and Piercing Standard Boxes.
 Greg Kuperberg @ Tel Aviv University
 Israel AGT Day, Reichman University, March 5, 2023
 Alef’s Corner: Democracy (Israel, 2023)
 Absolutely Sensational Morning News – Zander Kelley and Raghu Meka proved Behrendtype bounds for 3APs
 The Trifference Problem
 Greatest Hits 20152022, Part II
 Greatest Hits 20152022, Part I
Top Posts & Pages
 Some News from a Seminar in Cambridge
 Absolutely Sensational Morning News  Zander Kelley and Raghu Meka proved Behrendtype bounds for 3APs
 Greg Kuperberg @ Tel Aviv University
 Quantum Computers: A Brief Assessment of Progress in the Past Decade
 To cheer you up in difficult times 7: Bloom and Sisask just broke the logarithm barrier for Roth's theorem!
 'Gina Says'
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 R(5,5) ≤ 48
 The Argument Against Quantum Computers  A Very Short Introduction
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Category Archives: Geometry
Subspace Designs, Unit and Distinct Distances, and Piercing Standard Boxes.
A lot of things are happening and let me briefly report on three major advancements in combinatorics. Peter Keevash, Ashwin Sah and Mehtaab Sawhney proved the existence of subspace designs with any given parameters, provided that the dimension of the … Continue reading
Posted in Combinatorics, Geometry
Tagged Ashwin Sah, István Tomon, Lisa Sauermann, Matija Bucić, Mehtaab Sawhney, Noga Alon, Peter Keevash
2 Comments
James Davies: Every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.
Here is a lovely piece of news: the following paper by James Davies was posted on the arXive a few weeks ago. The paper uses spectral methods to settle an old question, posed in 1994, by Moshe Rosenfeld. (See this … Continue reading
Bo’az Klartag and Joseph Lehec: The Slice Conjecture Up to Polylogarithmic Factor!
Bo’az Klartag (right) and Joseph Lehec (left) In December 2020, we reported on Yuansi Chen breakthrough result on Bourgain’s alicing problem and the Kannan Lovasz Simonovits conjecture. It is a pleasure to report on a further fantastic progress on these … Continue reading
Posted in Analysis, Computer Science and Optimization, Convexity, Geometry, Probability
Tagged Bo'az Klartag, Joseph Lehec
3 Comments
Test Your intuition 51
Suppose that and are two compact convex sets in space. Suppose that contains . Now consider two quantities is the average volume of a simplex forms by four points in drawn uniformly at random. is the average volume of a … Continue reading
Posted in Convexity, Geometry, Probability, Test your intuition
Tagged Test your intuition
12 Comments
Alexander A. Gaifullin: Many 27vertex Triangulations of Manifolds Like the Octonionic Projective Plane (Not Even One Was Known Before).
From top left clockwise: Alexander Gaifullin, Denis Gorodkov, Ulrich Brehm, Wolfgang Kühnel Here is the paper: Alexander A. Gaifullin: 634 vertextransitive and more than 10¹⁰³ nonvertextransitive 27vertex triangulations of manifolds like the octonionic projective plane Abstract with annotation: In … Continue reading
Posted in Combinatorics, Geometry
Tagged Alexander Gaifullin, Denis Gorodkov, Ulrich Brehm, Wolfgang Kühnel
2 Comments
ICM 2022 awarding ceremonies (1)
Hugo DuminilCopin, June Huh, James Maynard and Maryna Viazovska were awarded the Fields Medal 2022 and Mark Braverman was awarded the Abacus Medal 2022. I am writing from Helsinki where I attended the meeting of the General Assembly of the … Continue reading
Past and Future Events
Quick announcements of past (recorded) and future events 1) Shachar Lovett was the Erdos Speaker for 2022 and his great talks are recorded. (Lecture 1, Tensor ranks and their applications lecture 2, The monomial structure of Boolean functions, lecture 3, … Continue reading
Posted in Combinatorics, Conferences, Convexity, Geometry, Quantum
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Ehud Friedgut: How many cubes of 2×2×2 fit into a box of size 8×4×3? (TYI 49)
This blog post is kindly written by Ehud Friedgut. My daughter, Shiri, who’s in seventh grade, had the following question in a math exam: How many cubes of 2×2×2 fit into a box of size 8×4×3? Shiri divided the volumes, … Continue reading
Posted in Geometry, Riddles, Test your intuition
Tagged Alef's corner, Ehud Friedgut, Shiri Friedgut, Test your intuition
6 Comments
ICM 2018 Rio (5) Assaf Naor, Geordie Williamson and Christian Lubich
This is my fifth and last report from ICM 2018 at Rio. I will talk a little about the three Wednesday plenary talks by Assaf Naor, Geordie Williamson, and Christian Lubich. See here for other posts about ICM2018. (For the … Continue reading
Posted in Algebra, Analysis, Geometry, ICM2018
Tagged Alef's corner, Assaf Naor, Christian Lubich, Geordie Williamson
3 Comments