skill-math-research

name	skill-math-research
description	Research mathematical tasks using domain context and codebase exploration. Invoke for math-language research involving algebra, lattice theory, order theory, topology, and category theory.
allowed-tools	Task, Bash, Edit, Read, Write

Math Research Skill

Thin wrapper that delegates mathematical research to math-research-agent subagent.

IMPORTANT: This skill implements the skill-internal postflight pattern. After the subagent returns, this skill handles all postflight operations (status update, artifact linking, git commit) before returning.

Context References

Reference (do not load eagerly):

• Path: .opencode/context/core/formats/return-metadata-file.md - Metadata file schema

Note: This skill is a thin wrapper with internal postflight. Context is loaded by the delegated agent.

Trigger Conditions

This skill activates when:

• Task language is "math"
• Research involves algebra, lattice theory, order theory, topology, or category theory
• Domain context files are needed for mathematical foundations

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Execution Flow

Stage 1: Input Validation

Validate required inputs:

• task_number - Must be provided and exist in state.json
• focus_prompt - Optional focus for research direction

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Stage 2: Preflight Status Update

Update task status to "researching" BEFORE invoking subagent.

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Stage 3: Create Postflight Marker

Create the marker file to prevent premature termination.

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Stage 4: Prepare Delegation Context

Prepare delegation context for the subagent:

{
  "session_id": "sess_{timestamp}_{random}",
  "delegation_depth": 1,
  "delegation_path": ["orchestrator", "research", "skill-math-research"],
  "timeout": 3600,
  "task_context": {
    "task_number": N,
    "task_name": "{project_name}",
    "description": "{description}",
    "language": "math"
  },
  "focus_prompt": "{optional focus}",
  "metadata_file_path": "specs/{NNN}_{SLUG}/.return-meta.json"
}

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Stage 5: Invoke Subagent

CRITICAL: You MUST use the Task tool to spawn the subagent.

Required Tool Invocation:

Tool: Task (NOT Skill)
Parameters:
  - subagent_type: "math-research-agent"
  - prompt: [Include task_context, delegation_context, focus_prompt, metadata_file_path]
  - description: "Execute math research for task {N}"

DO NOT use Skill(math-research-agent) - this will FAIL.

The subagent will:

• Load domain context files from .opencode/extensions/formal/context/project/math/
• Search codebase for existing patterns
• Use Mathlib lookup tools
• Execute web research for mathematical literature
• Create research report in specs/{NNN}_{SLUG}/reports/
• Write metadata to specs/{NNN}_{SLUG}/.return-meta.json
• Return a brief text summary (NOT JSON)

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Stage 6: Parse Subagent Return (Read Metadata File)

After subagent returns, read the metadata file.

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Stage 7: Update Task Status (Postflight)

If status is "researched", update state.json and TODO.md.

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Stage 8: Link Artifacts

Add artifact to state.json with summary.

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Stage 9: Git Commit

Commit changes with session ID using targeted staging.

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Stage 10: Cleanup

Remove marker and metadata files.

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Stage 11: Return Brief Summary

Return a brief text summary (NOT JSON). Example:

Research completed for task {N}:
- Found existing patterns in source files
- Loaded domain context for algebra/lattice theory
- Used Mathlib lookup tools to discover relevant theorems
- Created report at specs/{NNN}_{SLUG}/reports/research-{NNN}.md
- Status updated to [RESEARCHED]
- Changes committed

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Error Handling

Input Validation Errors

Return immediately with error message if task not found.

Metadata File Missing

If subagent didn't write metadata file, keep status as "researching".

Git Commit Failure

Non-blocking: Log failure but continue with success response.

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Return Format

This skill returns a brief text summary (NOT JSON). The JSON metadata is written to the file and processed internally.