categories-functors
Problem-solving strategies for categories functors in category theory
limits-colimits
Problem-solving strategies for limits colimits in category theory
natural-transformations
Problem-solving strategies for natural transformations in category theory
banach-spaces
Problem-solving strategies for banach spaces in functional analysis
channel-capacity
Problem-solving strategies for channel capacity in information theory
source-coding
Problem-solving strategies for source coding in information theory
vector-spaces
Problem-solving strategies for vector spaces in linear algebra
math-model-selector
Routes problems to appropriate mathematical frameworks using expert heuristics
sigma-algebras
Problem-solving strategies for sigma algebras in measure theory
boundary-value-problems
Problem-solving strategies for boundary value problems in odes pdes
first-order-odes
Problem-solving strategies for first order odes in odes pdes
constrained-optimization
Problem-solving strategies for constrained optimization in optimization
continuity
Problem-solving strategies for continuity in real analysis
connectedness
Problem-solving strategies for connectedness in topology
memory-palace
Hierarchical memory organization for multi-session context retention. Wings (projects) > Rooms (domains) > Drawers (decisions). Semantic search across all memories with zero cloud dependency.
project-guidelines-example
Example template for project-specific skill files covering architecture, patterns, testing, and deployment.
resilience-patterns
Circuit breaker, bulkhead, retry with jitter, graceful shutdown, health check patterns for production resilience.
springboot-patterns
Spring Boot architecture patterns, REST API design, layered services, data access, caching, async processing, and logging. Use for Java Spring Boot backend work.
websocket-patterns
Connection management, room patterns, reconnection strategies, message buffering, and binary protocol design.