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Korean Mathematician Stakes Optimal 'Moving Sofa' Proof as Paper Enters Peer Review

The 119-page arXiv manuscript contends Gerver’s 1992 curved shape is the largest that can negotiate a right-angled corridor, using reasoning rather than computer searches.

Overview

  • After seven years of work, Baek Jin Eon posted a detailed proof in late 2024 asserting that no larger shape than Gerver’s can navigate a unit-width right-angle turn.
  • The submission is under review at the Annals of Mathematics, and mathematicians are evaluating the arguments as formal vetting proceeds.
  • Scientific American listed Baek’s research among its Top 10 mathematical breakthroughs of 2025, spotlighting the non-computational approach.
  • The moving sofa problem, posed in 1966, seeks the two-dimensional shape of maximum area that can be carried through an L-shaped corridor of fixed width.
  • Baek, 31, is a research fellow at KIAS’s June E Huh Center and emphasizes systematic logical analysis over large-scale simulations.