9. Research & Analysis

Provides problem-solving strategies for Hilbert spaces in functional analysis, supporting mathematical research and advanced studies.

Conducts external research using web, documentation, and API sources to gather information without accessing internal codebases.

Offers problem-solving strategies for functors within category theory, a branch of abstract mathematics research.

Provides step-by-step strategies for constructing and manipulating sigma algebras in measure theory problem-solving.

Provides problem-solving strategies for group theory problems in abstract algebra.

Provides problem-solving strategies for natural transformations in category theory, supporting mathematical research and theoretical analysis.

Provides problem-solving strategies for operator theory in functional analysis, supporting mathematical research and theoretical analysis.

Provides mathematical strategies for solving prime number problems within graph theory contexts.

Provides formal methods for proving mathematical theorems and verifying system correctness through structured research, testing, and verification phases.

Provides problem-solving strategies for graph algorithms within graph number theory, supporting academic research and analysis.

Searches arXiv for academic papers on agentic AI patterns, enabling discovery and review of the latest research in this domain.

Analyzes blog posts, PDFs, codebases, and other sources to identify agentic patterns, match against a database, and create/update patterns with new insights.

Automates research on libraries, APIs, and patterns using GitHub and Exa, delivering structured reports for technology investigation and debugging.

Analyzes competitors' ad content from social platforms to identify effective messaging and creative strategies for improving marketing campaigns.

Conducts structured web research to gather comprehensive online information for analysis and decision-making.

Searches arXiv preprint repository for academic papers in physics, mathematics, computer science, and related fields using Python and shell tools.

Extracts a skill that has been learned from the current conversation context.

Orchestrates parallel AI agents to perform automated, multi-faceted research tasks with comprehensive information gathering.

Conducts thorough analysis and investigation to uncover insights and patterns in complex information and data sets.

Evaluates scientific research rigor by assessing methodology, statistical validity, and evidence quality using GRADE and Cochrane ROB frameworks.

Conducts deep market research and validation for app ideas to guide project initiation and business strategy decisions.

Gathers and synthesizes recent topic research from Reddit, X, and web sources to generate ready-to-use AI tool prompts.

Fetches Reddit content via Gemini CLI when standard access is blocked, enabling research and topic exploration without 403 errors.

Enables systematic step-by-step reasoning for complex problem decomposition, multi-stage analysis, and dynamic scope adjustment in ambiguous scenarios.