advanced-math-trading/foundations-core

Meta-skill that generates domain-specific skills using advanced reasoning techniques. PROACTIVELY activate for: (1) Create/build/make skills, (2) Generate expert panels for any domain, (3) Design evaluation frameworks, (4) Create research workflows, (5) Structure complex multi-step processes, (6) Instantiate templates with parameters. Triggers: "create a skill for", "build evaluation for", "design workflow for", "generate expert panel for", "how should I approach [complex task]", "create skill", "new skill for", "skill template", "generate skill"

Master high-performance rendering for large datasets with Datashader. Use this skill when working with datasets exceeding 100M+ points, optimizing visualization performance, or implementing efficient rendering strategies with rasterization and colormapping techniques.

Integrate React with clean architecture without framework leakage using hooks as adapters and presenters. Use when connecting React to domain logic, designing hook-based DI, or isolating UI from business rules.

Specialized reverse engineering analysis workflows for binary analysis, pattern recognition, and vulnerability assessment

Advanced T-SQL patterns and techniques for SQL Server. Use this skill when: (1) User needs help with CTEs or recursive queries, (2) User asks about APPLY operator, (3) User wants MERGE or OUTPUT clause help, (4) User works with temporal tables, (5) User needs In-Memory OLTP guidance, (6) User asks about advanced grouping (ROLLUP, CUBE, GROUPING SETS).

Perform comprehensive OSCAL validation using community-inspired patterns including JSON schema validation, business rule validation, cross-reference checking, and best practices from IBM Trestle, oscal-pydantic, and Lula. Use for thorough document quality assurance.

Design modular libraries with clear package boundaries, feature-first organization, and clean API surfaces. Use when structuring monorepos, defining module boundaries, or designing library APIs.

Use when planning, scaffolding, validating, or packaging Claude skills inside Advanced Memory MCP.

Apply principled memoization techniques to reduce re-rendering without introducing correctness bugs.

Tail risk, EVT, regularization, validation guardrails, and common pitfalls.

Factor modeling and portfolio construction (Markowitz, Black-Litterman, constraints, turnover).

Custom Resource Definitions (CRDs) extend Kubernetes API with custom object types. Operators are controllers that manage these custom resources using domain-specific logic.