New Sphere-Packing Record Stems From an Unexpected Source | Quanta Magazine
After just a few months of work, a complete newcomer to the world of sphere packing has solved one of its biggest open problems.
Hasnain says:
“Klartag had broken open a central problem in the world of lattices and sphere packing after just a few months of study and a few weeks of proof writing. “It feels almost unfair,” he said. But that’s often how mathematics works: Sometimes all a sticky problem needs is a few fresh ideas, and venturing outside one’s immediate field can be rewarding. Klartag’s familiarity with convex geometry, usually a separate area of study, turned out to be just what the problem required. “This idea was at the top of my mind because of my work,” he said. “It was obvious to me that this was something I could try.””
Posted on 2025-07-08T02:56:56+0000