skill-math-research

# 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: `.claude/context/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 type is "math" - Research involves algebra, lattice theory, order theory, topology, or category theory - Domain context files are needed for mathematical foundations --- ## 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 --- ### Stage 2: Preflight Status Update Update task status to "researching" BEFORE invoking subagent. --- ### Stage 3: Create Postflight Marker Create the marker file to prevent premature termination. --- ### Stage 4: Prepare Delegation Context Prepare delegation context for the subagent: ```json { "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}", "task_type": "math" }, "focus_prompt": "{optional focus}", "metadata_file_path": "specs/{NNN}_{SLUG}/.return-meta.json" } ``` --- ### Stage 5: Invoke Subagent **CRITICAL**: You MUST use the **Agent** tool to spawn the subagent. **Required Tool Invocation**: ``` Tool: Agent (NOT Skill, NOT Plan) 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 `.claude/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) --- ### Stage 5b: Self-Execution Fallback **CRITICAL**: If you performed the work above WITHOUT using the Agent tool (i.e., you read files, wrote artifacts, or updated metadata directly instead of spawning a subagent), you MUST write a `.return-meta.json` file now before proceeding to postflight. Use the schema from `return-metadata-file.md` with status value "researched". If you DID use the Agent tool, skip this stage -- the subagent already wrote the metadata. --- ## Postflight (ALWAYS EXECUTE) The following stages MUST execute after work is complete, whether the work was done by a subagent or inline (Stage 5b). Do NOT skip these stages for any reason. ### Stage 6: Parse Subagent Return (Read Metadata File) Read the metadata file. --- ### Stage 7: Update Task Status (Postflight) If status is "researched", update state.json and TODO.md. --- ### Stage 8: Link Artifacts Add artifact to state.json with summary. Update TODO.md per `@.claude/context/patterns/artifact-linking-todo.md` with `field_name=**Research**`, `next_field=**Plan**`. --- ### Stage 9: Git Commit Commit changes with session ID using targeted staging. --- ### Stage 10: Cleanup Remove marker and metadata files. --- ### 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/MM_{short-slug}.md - Status updated to [RESEARCHED] - Changes committed ``` --- ## 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. --- ## Return Format This skill returns a **brief text summary** (NOT JSON). The JSON metadata is written to the file and processed internally.