Monthly Archives: April 2025

The Solution of Feige’s conjecture by Guruswami, Kothari and Manohar (Re-blogged from “In Theory”)

Posted on April 19, 2025 by Gil Kalai

Luca Trevisan I’m reblogging here a beautiful post by Luca Trevisan from his blog “In Theory”. The original post appeared a year ago in April 2024. A few weeks after this post was published, Luca sadly passed away at the … Continue reading →

Posted in Combinatorics, Computer Science and Optimization | Tagged | Leave a comment

Bo’az Klartag: Striking new Lower Bounds for Sphere Packing in High Dimensions

Posted on April 9, 2025 by Gil Kalai

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 dimension $latex n$ there exists an origin-symmetric ellipsoid … Continue reading →

Posted in Combinatorics, Convexity, Geometry, Updates | Tagged , , | 3 Comments

Hong Wang and Joshua Zahl’s Solution for the Kakeya Problem in Three Dimensions – Reflections and Links

Posted on April 4, 2025 by Gil Kalai

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 set conjecture in three … Continue reading →

Posted in Analysis, Geometry, Updates | Tagged , , | 3 Comments