@parcadei

Problem-solving strategies for connectedness in topology

Develops mathematical understanding through examples, visualization, and analogy

Problem-solving strategies for open sets in topology

Planning agent that creates implementation plans and handoffs from conversation context

Automatically trace Claude Code conversations to Braintrust for observability. Captures sessions, conversation turns, and tool calls as hierarchical traces.

Problem-solving strategies for compactness in topology

Query the memory system for relevant learnings from past sessions

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

Problem-solving strategies for root finding in numerical methods

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

Problem-solving strategies for convex optimization in optimization

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

Problem-solving strategies for contour integrals in complex analysis

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

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

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

Guide for integrating Agentica SDK with Claude Code CLI proxy

Problem-solving with Rudin's Real and Complex Analysis textbook

Problem-solving strategies for source coding in information theory

Wiring Verification

Use RepoPrompt CLI for token-efficient codebase exploration

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

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

Analyze brownfield codebase and create initial continuity ledger

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

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

Computational geometry with Shapely - create geometries, boolean operations, measurements, predicates

Show users how Continuous Claude works - the opinionated setup with hooks, memory, and coordination

Completion Check: Verify Infrastructure Is Wired

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

Orchestrator-only workflow for migrating/rewriting codebases with full TDD and agent delegation

Document codebase as-is with thoughts directory for historical context

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

Friendly onboarding when users ask about capabilities

Hook Development Rules

Formal theorem proving with research, testing, and verification phases

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

Search library documentation and code examples via Nia

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

Identify failure modes before they occur using structured risk analysis

Generate comprehensive PR descriptions following repository templates

Get a token-efficient overview of any project using the TLDR stack

Search Mathlib for lemmas by type signature pattern

Never Use TaskOutput

Create or update continuity ledger for state preservation across clears

Explicit Identity Across Boundaries

Braintrust tracing for Claude Code - hook architecture, sub-agent correlation, debugging

Environment Triage

Agent Context Isolation

Problem-solving strategies for rings in abstract algebra

Problem-solving strategies for matrices in linear algebra

Problem-solving strategies for convergence in real analysis

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

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

Find unused functions and dead code in the codebase

Show full session token usage, costs, TLDR savings, and hook activity

Parallel Agent Orchestration

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

AST-based code search and refactoring via ast-grep MCP

Claude Code CLI commands, flags, headless mode, and automation patterns

Check reference SDK implementations using btca ask

Implement technical plans from thoughts/shared/plans with verification

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

Index at Creation Time

Analyze Claude Code sessions via Braintrust

Agent Orchestration Rules

QLTY During Development

Semantic search across codebase using LEANN vector index

Graceful Degradation with Helpful Messages

Implement technical plans from thoughts/shared/plans with verification

Observe Before Editing

Parallel Agent Type Contracts

Routes problems to appropriate mathematical frameworks using expert heuristics

Search Tool Hierarchy

Problem-solving strategies for limits in real analysis

Router-First Architecture

Async REPL Protocol

Problem-solving strategies for groups in abstract algebra

Problem-solving strategies for continuity in real analysis

Problem-solving strategies for residues in complex analysis

Problem-solving strategies for entropy in information theory

Problem-solving strategies for first order odes in odes pdes

Problem-solving strategies for second order odes in odes pdes

Problem-solving strategies for vector spaces in linear algebra

Problem-solving strategies for gradient methods in optimization

Problem-solving strategies for sigma algebras in measure theory

Problem-solving strategies for proof theory in mathematical logic

Problem-solving strategies for lebesgue measure in measure theory

Problem-solving strategies for interpolation in numerical methods