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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.

A comprehensive strategy guide for mathematical authors to stress-test their proofs before submission. It outlines how expert academic referees rigorously review work, advising on strengthening weak steps, verifying external theorems, clarifying the core argument, and handling boundary cases to significantly improve the manuscript's rigor and chances of acceptance.

This guide helps pure-mathematics researchers precisely state and frame the main theorems of their manuscripts for submission to top-tier journals. It emphasizes techniques for quantifying novelty, separating the core headline result from corollaries, and rigorously positioning the work relative to the existing state of the art, mimicking the structure of Annals of Mathematics submissions.

This guide outlines the rigorous, multi-step process for authors revising a mathematical or scientific manuscript following a detailed referee report. It emphasizes the critical rule: always fix mathematical gaps and errors in the text first, and only then draft a structured, point-by-point reply that is respectful, precise, and mathematically grounded.

This guide helps pure mathematics researchers evaluate whether their results possess sufficient depth, originality, and lasting importance to be submitted to highly selective, top-tier journals. It functions as a pre-submission screening tool, guiding authors to assess the true significance and appropriate scope of their work before investing significant time in framing or writing a full manuscript.

A comprehensive guide to the rigorous standards for structuring pure mathematics manuscripts, specifically detailing the proper use of appendices and auxiliary material. It teaches authors how to distinguish between the essential core argument (which must remain in the main text) and supplementary technical results, long computations, or background lemmas (which belong in the appendix). This ensures the main text remains focused while maintaining academic rigor and verifiability for peer review.

A comprehensive guide for translating complex, real-world management settings into formal, rigorous mathematical models suitable for high-level academic journals. It provides a systematic framework (Situational Element $\rightarrow$ Model Element Mapping) for developing optimization, game, and data-driven models, ensuring that the model structure, assumptions, and novelty are explicitly defensible against academic critiques.

A comprehensive router designed to guide researchers through the entire lifecycle of writing a highly rigorous academic paper for top-tier econometrics journals, such as Econometrica. It outlines the necessary steps—from initial topic selection and theoretical positioning to detailed identification checks, robustness testing, and final submission package assembly—ensuring the manuscript meets the highest standards of mathematical rigor and scholarly depth. This guide does not replace specialized skills but dictates the optimal sequence of research stages.

A comprehensive protocol for authors addressing major referee objections in theoretical econometrics papers. This guide teaches systematic revision techniques, including how to categorize critiques (fundamental gaps, clarifications, disagreements), structure the mathematical proofs, and write a rigorous, point-by-point rebuttal letter. It ensures the response is mathematically precise and academically sound.

This guide clarifies what constitutes an 'artifact' for pure-theory venues like ITCS. It emphasizes that the core deliverable is not code or functional components, but the mathematical argument itself. Successful evaluation relies on providing complete, self-contained proofs within the submitted PDF, along with citing dependencies precisely. It details how to handle minor computational content to ensure static, verifiable checks.

This guide provides a structured methodology for translating highly technical academic papers, particularly in econometrics or macroeconomics, into plain language suitable for a broad scholarly audience (like the Journal of Economic Perspectives). It focuses on removing notation, jargon, and complex mathematical derivations, while rigorously preserving the underlying economic intuition and causal mechanism of the research.