11Fxx Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] [For relations with quadratic forms, see 11E45] 16428
18-XX Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology] 25841
32-XX Several complex variables and analytic spaces [For infinite-dimensional holomorphy, see 46G20, 58B12] 43271
32Jxx Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx] 2531
34C08 Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) 310
37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 105177
37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx] 16884
46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx] 118063
46Cxx Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx] 4693
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 1724
46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] 22449
51M35 Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) [See also 14M15] 309
51Pxx Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 305
51P05 Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) 298
52B20 Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx] 955
52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx] 424
52B55 Computational aspects related to convexity [For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx] [See also 68Uxx] 1131
53-XX Differential geometry [For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx] 111446
53Cxx Global differential geometry [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx] 65816
53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] 3966
53C42 Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] 6496
53C65 Integral geometry [See also 52A22, 60D05]; differential forms, currents, etc. [See mainly 58Axx] 2204
57Rxx Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx] 19301
58-XX Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] [For geometric integration theory, see 49Q15] 60313
58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx] 22028
60-XX Probability theory and stochastic processes [For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX] 189838
65Dxx Numerical approximation and computational geometry (primarily algorithms) [For theory, see 41-XX and 68Uxx] 31827
68-XX Computer science [For papers involving machine computations and programs in a specific mathematical area, see Section --04 in that area] 332326
70-XX Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX] 60075
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 14D05, 32S40] 885
94B75 Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) [See also 11H31] 398