{"id":"openai-math/Koebes-Circle-Domain-Conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/Koebes-Circle-Domain-Conjecture-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Koebes-Circle-Domain-Conjecture-September-23-2026","tags":["complex-analysis","conformal-mapping","riemann-surfaces"],"score":0,"title":"Koebe's Circle-Domain Conjecture","domain":"Real and complex analysis","family":"071","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CA","summary":"We prove that every domain in the Riemann sphere is conformally equivalent to a circle domain, resolving Koebe's circle-domain conjecture positively.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Koebe’s circle-domain conjecture"}