Coding

by parcadei

Problem-solving strategies for connectedness in topology

by parcadei

Problem-solving strategies for constrained optimization in optimization

by parcadei

Problem-solving strategies for continuity in real analysis

by parcadei

Problem-solving strategies for contour integrals in complex analysis

by parcadei

Problem-solving strategies for convergence in real analysis

by parcadei

Problem-solving strategies for convex optimization in optimization

by parcadei

Systematic hook debugging workflow. Use when hooks aren't firing, producing wrong output, or behaving unexpectedly.

by parcadei

Problem-solving strategies for eigenvalues in linear algebra

by parcadei

Problem-solving strategies for entropy in information theory

by parcadei

Environment Triage

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Explicit Identity Across Boundaries

by parcadei

Meta-skill for internal codebase exploration at varying depths (quick/deep/architecture)

by parcadei

Problem-solving strategies for fields in abstract algebra

by parcadei

Scrape web pages and extract content via Firecrawl MCP

by parcadei

Problem-solving strategies for first order odes in odes pdes

by parcadei

Meta-skill workflow orchestrator for bug investigation and resolution. Routes to debug, implement, test, and commit based on scope.

by parcadei

Git Commit Rules

by parcadei

Search GitHub code, repositories, issues, and PRs via MCP

by parcadei

Graceful Degradation with Helpful Messages

by parcadei

Problem-solving strategies for gradient methods in optimization

by parcadei

Problem-solving strategies for graph algorithms in graph number theory

by parcadei

Problem-solving strategies for groups in abstract algebra

by parcadei

Interactive workspace discovery - learn what tools, workflows, agents, and hooks are available

by parcadei

Problem-solving strategies for hilbert spaces in functional analysis

by parcadei

Complete Claude Code hooks reference - input/output schemas, registration, testing patterns

by parcadei

Hook Development Rules

by parcadei

Implementation agent that executes a single task and creates handoff on completion

by parcadei

Problem-solving strategies for integration theory in measure theory

by parcadei

Problem-solving strategies for interpolation in numerical methods

by parcadei

Problem-solving strategies for lebesgue measure in measure theory

by parcadei

Problem-solving strategies for limits in real analysis

by parcadei

Problem-solving strategies for limits colimits in category theory

by parcadei

LLM Tuning Patterns

by parcadei

Unified math capabilities - computation, solving, and explanation. I route to the right tool.

by parcadei

Guide to the math cognitive stack - what tools exist and when to use each

by parcadei

Develops mathematical understanding through examples, visualization, and analogy

by parcadei

Routes problems to appropriate mathematical frameworks using expert heuristics

by parcadei

Deterministic router for math cognitive stack - maps user intent to exact CLI commands

by parcadei

Problem-solving strategies for matrices in linear algebra

by parcadei

Research-to-implement pipeline chaining 5 MCP tools with graceful degradation

by parcadei

MCP Script Rules

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Migration workflow - research → analyze → plan → implement → review

by parcadei

Problem-solving strategies for modular arithmetic in graph number theory

by parcadei

Modular Code Organization

by parcadei

Fast file editing via Morph Apply API (10,500 tokens/sec, 98% accuracy)

by parcadei

Fast codebase search via WarpGrep (20x faster than grep)

by parcadei

System health check (MOT) for skills, agents, hooks, and memory

by parcadei

Problem-solving strategies for natural transformations in category theory

by parcadei

Search library documentation and code examples via Nia

by parcadei

Problem-solving strategies for numerical integration in numerical methods

by parcadei

Observe Before Editing

by parcadei

Analyze brownfield codebase and create initial continuity ledger

by parcadei

OPC Architecture Understanding

by parcadei

Problem-solving strategies for open sets in topology

by parcadei

Problem-solving strategies for operator theory in functional analysis

by parcadei

Parallel Agent Type Contracts

by parcadei

AI-powered web search, research, and reasoning via Perplexity

by parcadei

Unit-aware computation with Pint - convert units, dimensional analysis, unit arithmetic

by parcadei

Problem-solving strategies for predicate logic in mathematical logic

by parcadei

Identify failure modes before they occur using structured risk analysis

by parcadei

Problem-solving strategies for prime numbers in graph number theory

by parcadei

Problem-solving strategies for proof theory in mathematical logic

by parcadei

Problem-solving strategies for propositional logic in mathematical logic

by parcadei

Formal theorem proving with research, testing, and verification phases

by parcadei

Code quality checks, formatting, and metrics via qlty CLI

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QLTY During Development

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Search past reasoning for relevant decisions and approaches

by parcadei

Code refactoring workflow - analyze → plan → implement → review → validate

by parcadei

Check reference SDK implementations using btca ask

by parcadei

Use RepoPrompt CLI for token-efficient codebase exploration

by parcadei

Research agent for external documentation, best practices, and library APIs via MCP tools

by parcadei

External research workflow for docs, web, APIs - NOT codebase exploration