Classification Search Result

Mathematics Subject Classification – MSC2020

14-XX

Algebraic geometry

92682

14Hxx

Curves in algebraic geometry

20718

14H05

Algebraic functions and function fields in algebraic geometry [See also 11R58]

1332

14H10

Families, moduli of curves (algebraic)

3045

14H15

Families, moduli of curves (analytic) [See also 30F10, 32G15]

696

14H20

Singularities of curves, local rings [See also 13Hxx, 14B05]

1788

14H25

Arithmetic ground fields for curves [See also 11Dxx, 11G05, 14Gxx]

1461

14H30

Coverings of curves, fundamental group [See also 14E20, 14F35]

1771

14H37

Automorphisms of curves

696

14H40

Jacobians, Prym varieties [See also 32G20]

1858

14H42

Theta functions and curves; Schottky problem [See also 14K25, 32G20]

594

14H45

Special algebraic curves and curves of low genus

2747

14H50

Plane and space curves

2351

14H51

Special divisors on curves (gonality, Brill-Noether theory)

717

14H52

Elliptic curves [See also 11G05, 11G07, 14Kxx]

2712

14H55

Riemann surfaces; Weierstrass points; gap sequences [See also 30Fxx]

1154

14H57

Dessins d’enfants theory {For arithmetic aspects, see 11G32}

149

14H60

Vector bundles on curves and their moduli [See also 14D20, 14F06, 14J60]

1945

14H70

Relationships between algebraic curves and integrable systems

795

14H81

Relationships between algebraic curves and physics

270

14H99

None of the above, but in this section

762

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory; homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and
abc*	right wildcard
a \| b	logical or
"ab c"	phrase
!ab	logical not
(ab c)	parentheses

Examples

Fields

Operators

Mathematics Subject Classification – MSC2020

Overview