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06
06A Ordered sets
06A15 Galois correspondences
11 Number theory
11E Linear algebraic groups
11E72 Galois cohomology of linear algebraic groups
11F Automorphic forms
11F32 Modular correspondences
11F80 Galois representations
11F85 p-adic theory, local fields
11G Arithmetic algebraic geometry (Diophantine geometry)
11G18 Arithmetic aspects of modular and Shimura varieties
11G20 Curves over finite and local fields
11G25 Varieties over finite and local fields
11G35 Varieties over global fields
11R Algebraic number theory: global fields
11R32 Galois theory
11R33 Integral representations; Galois module structure
11R34 Galois cohomology
11R58 Arithmetic theory of algebraic function fields
11S Algebraic number theory: local and p-adic fields
11S15 Ramification and extension theory
11S20 Galois theory
11S25 Galois cohomology
12 Field theory and polynomials
12E General field theory
12E30 Field arithmetic
12F Field extensions
12F10 Separable extensions, Galois theory
12F12 Inverse Galois theory
12G Homological methods (field theory)
12G05 Galois cohomology
12G10 Cohomological dimension
13 Commutative rings and algebras
13B Ring extensions
13B02 Extension theory
13B05 Galois theory
13B40 Étale and flat extensions; Henselization; Artin approximation
13J Topological rings and modules
13J05 Power series rings
13J10 Complete rings, completion
13J15 Henselian rings
14 Algebraic geometry
14D Families, fibrations
14D10 Arithmetic ground fields (finite, local, global)
14D15 Formal methods; deformations
14E Birational Geometry
14E20 Coverings
14E22 Ramification problems
14F (Co)homology theory
14F20 Étale and other Grothendieck topologies and cohomologies
14F35 Homotopy theory; fundamental groups
14G Arithmetic problems. Diophantine geometry
14G22 Rigid analytic geometry
14G32 Universal profinite groups (moduli spaces, towers, Galois
theory)
14G50 Applications to coding theory and cryptography
14H Curves
14H10 Families, moduli (algebraic)
14H30 Coverings, fundamental group
14H37 Automorphisms
20 Group theory and generalizations
20B Permutation groups
20B25 Finite automorphism groups of structures
20C Representation theory of groups
20C05 Group rings of finite groups and their modules
20C15 Ordinary representations and characters
20C25 Projective representations and multipliers
20E Structure and classification of infinite or finite groups
20E18 Limits, profinite groups
20E22 Extensions, wreath products, and other compositions
20F Special aspects of infinite or finite groups
20F34 Fundamental groups and their automorphisms
20F36 Braid groups; Artin groups
30 Functions of a complex variable
30F Riemann surfaces
30F10 Compact Riemann surfaces and uniformization
30F20 Classification theory of Riemann surfaces
30F35 Fuchsian groups and automorphic functions
30F40 Kleinian groups
30F60 Teichmüller theory
34 Ordinary differential equations
34M Differential equations in the complex domain
34M15 Algebraic aspects (differential-algebraic, group-theoretic)
34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois)
57 Manifolds and cell complexes
57M Low-dimensional topology
57M05 Fundamental group, presentations, free differential calculus
57M10 Covering spaces
57M12 Special coverings, e.g. branched
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