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Some mathematical news
Update: Let me mention a ninth paper that just appeared on the arXive. IX. … and the optimal sofa for the moving sofa problem is … Gerver’s sofa. Optimality of Gerver’s Sofa, by Jineon Baek (h/t for...
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Qingyang Guan, Joseph Lehec and Bo’az Klartag Solved The Slice Conjecture!
Good news: the slice conjecture is now completely settled with combined effort of two separate papers. Qingyang Guan, A note on Bourgain’s slicing problem Abstract: This note is to study Bourgain’s...
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Test Your Intuition (57): Are All Norms Nice?
Consider equipped with a norm. Given a finite set of points and a point , we consider , the sum of distances from to the points in . Next we consider the set of points that attain the minimum of . We...
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The Answer to TYI (57): In Dimension Three or More, Intuitive Norms are...
Consider equipped with a norm. Given a finite set of points and a point , we consider , the sum of distances from to the points in . Next we consider the set of points that attain the minimum of . Such...
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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...
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Bo’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...
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Cosmin 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...
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Ethereum 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...
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Shakhar 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...
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Sergey 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...
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