What is complete, what is partial, and what is still missing.
This is not a promise that every branch of mathematics is finished. It is a direct audit of the published curriculum, from undergraduate foundations through graduate preparation and twenty-three completed doctoral specialization cores.
HOW TO READ THE MAP
A green label means a shared core is taught, not that the whole field is exhausted.
Each row separates current evidence from the next missing layer. “Partial” is not a failure: it says exactly where a learner can go now and where this curriculum must still grow. A doctoral subject counts only after a complete bilingual course passes the research-depth checks.