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name: mathematical-research-methodology description: "Frame and refine a math research question, choose tactics (prove vs compute vs simulate), keep a tight research diary."

Mathematical research methodology

• State the question precisely before anything else: domain, hypotheses, unknown, success criterion.
• Catalogue what is known (cite theorems, papers) and what is unknown explicitly.
• Pick a tactic: a proof attempt, a computer-algebra reduction, or a numerical experiment — and say why that tactic.
• Keep a running research diary under /agent-filesystem/research/<slug>/diary.md with one entry per session: question, attempts, dead ends, next step.
• Re-evaluate after every dead end: is the question wrong, the tactic wrong, or the regime wrong?