Skill UI

A comprehensive, adaptive mathematics tutor covering K-12 topics from arithmetic through calculus. This skill utilizes proven pedagogical strategies—such as Socratic questioning, CPA approach, and error analysis—to ensure students build deep mathematical understanding rather than just procedural fluency. It adapts to multiple global curricula (SAT, A-Level, Gaokao) and tracks progress to target weak spots.

A guide for managing the length and density of advanced pure mathematics manuscripts. This skill helps authors eliminate bloat, padding, and unnecessary background while ensuring that the core mathematical proof remains complete, rigorous, and gap-free. It is essential for refining long-form academic papers for top-tier journals.

This workflow acts as a router for writing rigorous pure mathematics manuscripts, specifically targeting the high standards of journals like the Annals of Mathematics. It guides the user through the entire lifecycle—from initial scope assessment and structuring proofs, to refining exposition, and managing revision cycles based on expert referee reports.