Hong Wang and Joshua Zahl’s Solution for the Kakeya Problem in Three...
As many of you likely heard by now, Hong Wang and Joshua Zahl proved the The Kakeya Conjecture in three dimensions. Hong Wang and Joshua Zahl, Volume estimates for unions of convex sets, and the Kakeya...
View ArticleBo’az Klartag: Striking new Lower Bounds for Sphere Packing in High Dimensions
Two day ago, a new striking paper appeared on the arXiv Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid, by Bo’az Klartag. Abstract: We prove that in any...
View ArticleCosmin Pohoata and Daniel G. Zhu: Hypergraphic Zonotopes and Acyclohedra
I would like to draw your attention to the short beautiful paper Hypergraphic Zonotopes and Acyclohedra by Cosmin Pohoata and Daniel G. Zhu. The paper introduces higher-uniformity analogue of graphic...
View ArticleEthereum Foundation Talk and Conversation: A Critical View on Quantum...
Ethereum Foundation talk, today This afternoon (Tuesday, June 3, 2025) at 17:00 Israel time I give a zoom lecture on A Critical View on Quantum Computing. The lecture is hosted by the Ethereum...
View ArticleShakhar Smorodinsky’s Solution to a Radon-Type Problem
A brief update: Since Friday June 13 Israel has been engaged in a direct war with Iran. This follows two major missiles attacks of Iran against Israel in April and October 2024, as well as Iran’s...
View ArticleSergey Avvakumov and Alfredo Hubard Construct Cubical Spheres with Many Facets!
In this post, I discuss a remarkable new paper Cubulating the sphere with many facets by Sergey Avvakumov and Alfredo Hubard Abstract: For each we construct cube complexes homeomorphic to the -sphere...
View ArticleAmazing: Jie Ma, Wujie Shen, and Shengjie Xie Gave an Exponential Improvement...
h/t Benny Sudakov The Ramsey number R(ℓ,k) is the smallest integer n such that in any two-coloring of the edges of the complete graph on n vertices, , by red and blue, there is either a red (a complete...
View ArticleDror Bar-Natan and Roland Van der Veen – A Fast, Strong, and Fun knot invariant!
Dror Bar-Natan (homepage, Wikipedia) told me about his work with Roland Van der Veen (homepage, arXiv, YouTube) on a wonderful knot invariant which distinguishes knots much better than other knot...
View ArticleKazhdan Seminar fall 2025 – Starting Today Oct. 19, 2026.
This semester as a part of Kazhdan Sunday seminars we will have the following two activities (see description below) 12-14 Nati Linial and Yuval Peled, “Recent advances in combinatorics” 14-16 Jake...
View ArticleNovember’s Lectures, 2025
Happy Chanukah, everybody! There is a lot of academic activity around, and the ceasefire in Gaza has brought some relief and hope. Let me tell you about the (unusually high number of) lectures I...
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