{"id":"openai-math/The-Dimension-of-the-Two-Adic-Hecke-Algebra-at-Odd-Level","pdf":"https://github.com/openai/math/blob/main/preprints/The-Dimension-of-the-Two-Adic-Hecke-Algebra-at-Odd-Level-October-5-2026/two-adic-hecke.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Dimension-of-the-Two-Adic-Hecke-Algebra-at-Odd-Level-October-5-2026","tags":["hecke-algebras","modular-forms","number-theory"],"score":0,"title":"The Dimension of the Two-Adic Hecke Algebra at Odd Level","domain":"Number theory","family":"010","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.NT","summary":"For every odd positive integer N , every irreducible component of the full two-adic Hecke algebra of level $`\\Gamma_1(N)`$ has Krull dimension four. This proves the p = 2 case of Emerton's dimension conjecture, including all residual components.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Unrestricted pro-modularity at the prime two"}