Skill UI

A comprehensive guide for mathematicians writing complex, pure-mathematics manuscripts for high-level journals. It focuses on laying out the architecture of the argument, ensuring that the novel contribution (the 'crux') and the difficulty are clear to a non-specialist referee. Learn how to decompose proofs into named lemmas, outline the strategy upfront, and properly attribute external results.

This guide provides best practices for structuring complex academic manuscripts, particularly for conferences requiring a single-PDF submission model. It details how to optimally split content between the limited body (e.g., 12 pages) and the extensive appendix, ensuring that the crucial theorems, proofs, and auxiliary lemmas are presented in a verifiable and highly readable manner for peer reviewers. Key techniques include implementing restatement discipline and writing roadmap paragraphs for clear verification paths.

This guide provides structural best practices for writing highly technical academic papers, particularly for top-tier conferences. It teaches authors how to critically distinguish between the core material that must be visible in the main body (for the referee to follow and judge) and the auxiliary details, complete proofs, or routine calculations that can be safely deferred to an appendix. Following this structure prevents common writing pitfalls, such as 'hollow bodies,' ensuring the paper is both highly readable and technically rigorous.