## Choosing mathematics subject classifications

Here are Henry's tips for choosing MSC (mathematics subject classification) codes, if you're writing a paper with me!

The MSC 2020 codes are available at https://mathscinet.ams.org/msnhtml/msc2020.pdf. The MSC codes I use most frequently are as follows.

- 05E45: Combinatorics → Algebraic combinatorics → Combinatorial aspects of simplicial complexes
- 51F30: Geometry → Metric Geometry → Lipschitz and coarse geometry of metric spaces
- 52B15: Convex and discrete geometry → Polytopes and polyhedra → Symmetry properties of polytopes
- 53C23: Differential geometry → Global differential geometry → Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
- 54E35: General topology → Spaces with richer structures → Metric spaces, metrizability
- 55N31: Algebraic topology → Homology and cohomology theories in algebraic topology → Persistent homology and applications, topological data analysis
- 55P10: Algebraic topology → Homotopy theory → Homotopy equivalences
- 55U10: Algebraic topology → Applied homological algebra and category theory → Simplicial sets and complexes
- 57R19: Manifolds and cell complexes → Differential topology → Algebraic topology on manifolds and differential topology
- 62R40: Statistics → Statistics on algebraic and topological structures → Topological data analysis
- 68R05: Computer science → Discrete mathematics in relation to computer science → Combinatorics

- 05B40: Combinatorics → Designs and configurations → Combinatorial aspects of packing and covering
- 05C69: Combinatorics → Graph theory → Dominating sets, independent sets, cliques
- 15A18: Linear and multilinear algebra; matrix theory → Basic linear algebra → Eigenvalues, singular values, and eigenvectors
- 15A83: Linear and multilinear algebra: matrix theory → Basic linear algebra → Matrix completion problems
- 20F65: Group theory and generalizations → Special aspects of infinite or finite groups → Geometric group theory
- 37B30: Dynamical systems and ergodic theory → Topological dynamics → Index theory, Morse-Conley indices
- 37B99: Dynamical systems and ergodic theory → Topological dynamics → None of the above, but in this section
- 37H99: Dynamical systems and ergodic theory → Random dynamical systems → None of the above, but in this section
- 37M05: Approximation methods and numerical treatment of dynamical systems → Simulation of dynamical systems
- 47A05: Operator Theory → General theory of linear operators → General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
- 51F99: Geometry → Metric Geometry → None of the above, but in this section
- 52C17: Convex and discrete geometry → Discrete geometry → Packing and covering in n dimensions (aspects of discrete geometry)
- 52C35: Convex and Discrete Geometry → Discrete Geometry → Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
- 55N91: Algebraic topology → Homology and cohomology theories in algebraic topology → Equivariant homology and cohomology in algebraic topology
- 55P91: Algebraic topology → Homotopy theory → Equivariant homotopy theory in algebraic topology
- 60C05: Probability theory and stochastic processes → Combinatorial probability → Combinatorial probability
- 62-07: Statistics → Data analysis
- 62H25: Multivariate analysis → Multivariate analysis → Factor analysis and principal components; correspondence analysis
- 62H35: Statistics→ Multivariate analysis → Image analysis
- 65D18: Numerical analysis → Numerical approximation and computational geometry (primarily algorithms) → Computer graphics, image analysis, and computational geometry
- 65F50: Numerical analysis → Numerical linear algebra → Computational methods for sparse matrices
- 65F55: Numerical analysis → Numerical linear algebra → Numerical methods for low-rank matrix approximation; matrix compression
- 68T09: Computer Science → Artificial intelligence → Computational aspects of data analysis and big data
- 68U05: Computer science → Computing methodologies and applications → Computer graphics; computational geometry