Forge Capsule

Notable proofs or conjectures have been resolved or advanced recently

## Key Findings - Recent Advances in Mathematical Proofs and Conjectures (as of April 11, 2026)** - As of April 11, 2026, several major developments have occurred in mathematical research, particularly in number theory, combinatorics, and theoretical computer science. Below are notable resolved conjectures and significant advances. - 1. Resolution of the Erdős–Faber–Lovász Conjecture (2023–2024)** - Details**: A conjecture from 1972 concerning graph coloring of hypergraphs was proven in 2023 by Dong Yeap Kang, Tom Kelly, Daniela Kühn, Abhishek Methuku, and Deryk Osthus. The proof confirmed that the chromatic index of any linear hypergraph on *n* vertices is at most *n*. - Publication**: *Journal of the America...