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math-research

Develop rigorous mathematical proofs with LaTeX output and verification workflows.

27|3|Updated Apr 9, 2026
Search Tags:#research#theorem proving#mathematics#latex#arxiv#proof development
One-click install
npx skills add https://github.com/sjtuytc/ResearchMathAgent --skill math-research
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: math-research
Source: https://github.com/sjtuytc/ResearchMathAgent/tree/main/.claude/skills/math-research
Command: npx skills add https://github.com/sjtuytc/ResearchMathAgent --skill math-research

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps solve advanced mathematical research problems by guiding the creation, verification, and refinement of complete proofs instead of incomplete proof sketches or unsupported claims.

Core Features & Use Cases

  • Proof Development: Formalizes problems, selects proof strategies, constructs rigorous arguments, and produces clean LaTeX proofs across areas including combinatorics, graph theory, algebra, analysis, topology, and probability.
  • Literature-Guided Reasoning: Supports theorem discovery, paper analysis, hypothesis verification, and careful application of established mathematical results.
  • Verification Workflows: Audits proofs for logical gaps, definition consistency, boundary cases, theorem misuse, and completeness before finalizing results.

Quick Start

Use the math-research skill to analyze this theorem statement and develop a fully rigorous proof with all assumptions verified.

Frequently Asked Questions about math-research

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I develop a rigorous mathematical proof for a research-level theorem?▼

To develop a rigorous mathematical proof, you must formalize the problem statement, select an appropriate proof strategy, and construct arguments while systematically checking theorem hypotheses to eliminate unsupported reasoning.

Can I use this to verify existing proofs and audit logical gaps?▼

Yes, proof verification workflows audit existing arguments for logical gaps, definition consistency, boundary cases, and theorem misuse before finalizing results, ensuring complete mathematical rigor across multiple disciplines.

Does this generate LaTeX output for mathematical proofs?▼

Yes, LaTeX proof generation produces clean, formatted mathematical arguments directly from the constructed rigorous reasoning, ensuring the final output is ready for academic publication and research documentation.

What is the best way to analyze arXiv literature and apply established theorems?▼

Literature-guided reasoning supports paper analysis and theorem discovery by carefully verifying hypotheses before applying established mathematical results, preventing theorem misuse during advanced mathematical research and proof development.

What mathematical disciplines are supported for theorem proving?▼

Theorem proving and proof construction are supported across advanced mathematical disciplines including combinatorics, graph theory, algebra, analysis, topology, and probability for research-level problem formalization.

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