27 SKILL.md files in Mathematics & Statistics. Most popular: Abstract Algebra Expert, Bayesian Statistics Expert, Calculus Expert. Every skill is a plain-Markdown SKILL.md you can copy or download for Claude Code, Codex and other AI agents.
Abstract Algebra Expert delivers deep guidance on groups, rings, and field theory with concrete examples and a structure-first approach.
Expert guidance on Bayesian inference, prior selection, posterior computation, model checking, and interpretation for principled probabilistic analysis.
Calculus Expert guides single- and multivariable calculus with rigorous reasoning and geometric intuition, ideal for limits, differentiation, and integration problems.
Expert in causal inference guiding identification, design, estimation, and diagnostics of causal effects from observational and quasi-experimental data.
Expert guidance on complex analysis, covering analytic functions, contour integration, and conformal mappings, when you need rigorous explanations.
Provide expert descriptive statistics and visual summaries to describe data distributions, guiding measure choice and interpretation before modeling.
Provides expert guidance on solving ODEs and PDEs with analytical and numerical methods; ideal when modeling dynamical systems.
Discrete Mathematics Expert solves combinatorics, graph theory, and counting problems with structured proofs and algorithmic insight for CS.
Guides you in designing experiments, clinical trials, and A/B tests to maximize validity, minimize bias, and optimize resources.
Geometry and Trigonometry Expert helps with Euclidean geometry, coordinates, and trig problems, using diagrams, invariants, and proofs.
Guides inferential statistics from formulating hypotheses to interpreting results; helps with test choice, assumption checks, and effect sizes.
Provides expert help with linear algebra (vectors, matrices, subspaces, eigenvalues, and linear maps) and links theory to computation for problems.
An expert in propositional/predicate logic, proof theory, and model theory who helps with rigorous proofs and foundational questions in logic.
Mathematical Modeling Expert translates real problems into mathematical models and guides analysis, simulation, validation, and interpretation when you need model-based insights.
Provides expert guidance on selecting and interpreting multivariate methods (PCA, clustering, factor analysis) for high-dimensional data.
Guides users through selecting and applying nonparametric, distribution-free methods when parametric assumptions fail or data are ordinal.
Number Theory Expert provides explanations and guidance on divisibility, primes, modular arithmetic, and related cryptographic concepts.
Provides error-aware numerical methods guidance, analyzing stability, rounding error, and conditioning to ensure reliable computations.
Optimization Expert helps formulate and solve mathematical optimization problems (linear, convex, and combinatorial), select methods, and interpret results.
Probability Theory Expert provides rigorous, practice-oriented guidance on axiomatic probability, Bayes, and stochastic processes for learners and practitioners.
Real Analysis Expert provides rigorous guidance on limits, convergence, sequences, and series proofs; use it to sharpen epsilon-delta arguments and clarify convergence concepts.
Guides you through specifying, fitting, diagnosing, and interpreting regression models for continuous, binary, and count outcomes.
Expert guidance on spatial statistics, geostatistics, and point pattern analysis to assess spatial dependence, scale effects, and patterns in geospatial data.
Design, execute, and analyze probability-based surveys, from sampling frames and weighting to variance estimation, to enable valid population inferences.
Provide expert guidance on time-to-event data, censoring, survival estimation, and hazard modeling for clinical trials, reliability engineering, and analytics.