2023’s Biggest Breakthroughs in Math

Quanta Magazine’s mathematics coverage in 2023 included landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery. Read about more math breakthroughs from this year at Quanta Magazine: 00:05 Ramsey Numbers One of the biggest mathematical discoveries of the past year was in graph theory where the proof of a new, tighter upper bound to Ramsey numbers. These numbers measure the size that graphs must reach before inevitably containing structures called cliques. The discovery, announced in March, was the first advance of its type since 1935. - Original story with links to research papers can be found here: 06:21 Aperiodic Monotile The most attention-getting result of the year was the discovery of a new kind of tile that covers the plane but