Develops mathematical understanding through examples, visualization, and analogy

Problem-solving strategies for root finding in numerical methods

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

Problem-solving strategies for connectedness in topology

Test-driven development workflow with philosophy guide - plan → write tests → implement → validate

Token-efficient code analysis via 5-layer stack (AST, Call Graph, CFG, DFG, PDG). 95% token savings.

Document codebase as-is with thoughts directory for historical context

Write reliable prompts for Agentica/REPL agents that avoid LLM instruction ambiguity

Maps questions to the optimal tldr command. Use this to pick the right layer

Problem-solving strategies for open sets in topology

Problem-solving strategies for sigma algebras in measure theory

Full 5-layer analysis of a specific function. Use when debugging or deeply understanding code.

Build Python agents with Agentica SDK - @agentic decorator, spawn(), persistence, MCP integration

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

Problem-solving strategies for matrices in linear algebra

Problem-solving strategies for lebesgue measure in measure theory

Analyze repository structure, patterns, conventions, and documentation for understanding a new codebase

TDD workflow for migrations - orchestrate agents, zero main context growth

Problem-solving strategies for proof theory in mathematical logic

Problem-solving strategies for interpolation in numerical methods