Mathematics (since Feb 1992)
Algebraic Geometry (math.AG) is part of the Mathematics archive.
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Categories within Mathematics
- math.AG - Algebraic Geometry (new,
recent,
current month)
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
(subsumes alg-geom) - math.AT - Algebraic Topology (new,
recent,
current month)
Homotopy theory, homological algebra, algebraic treatments of manifolds
- math.AP - Analysis of PDEs (new,
recent,
current month)
Existence and uniquness, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDE's, conservation laws, qualitative dynamics
- math.CT - Category Theory (new,
recent,
current month)
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra
- math.CA - Classical Analysis and ODEs (new,
recent,
current month)
Special functions, orthogonal polynomials, harmonic analysis, ODE's, differential relations, calculus of variations, approximations, expansions, asymptotics
- math.CO - Combinatorics (new,
recent,
current month)
Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory
- math.AC - Commutative Algebra (new,
recent,
current month)
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
- math.CV - Complex Variables (new,
recent,
current month)
Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves
- math.DG - Differential Geometry (new,
recent,
current month)
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
(subsumes dg-ga) - math.DS - Dynamical Systems (new,
recent,
current month)
Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations
- math.FA - Functional Analysis (new,
recent,
current month)
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory
(subsumes funct-an) - math.GM - General Mathematics (new,
recent,
current month)
Mathematical material of general interest, topics not covered elsewhere
- math.GN - General Topology (new,
recent,
current month)
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties
- math.GT - Geometric Topology (new,
recent,
current month)
Manifolds, orbifolds, polyhedra, cell complexes, foliations, geometric structures
- math.GR - Group Theory (new,
recent,
current month)
Finite groups, topological groups, representation theory, cohomology, classification and structure
- math.HO - History and Overview (new,
recent,
current month)
Biographies, philosophy of mathematics, mathematics education, recreational mathematics, communication of mathematics
- math.IT - Information Theory (new,
recent,
current month)
math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
- math.KT - K-Theory and Homology (new,
recent,
current month)
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
- math.LO - Logic (new,
recent,
current month)
Logic, set theory, point-set topology, formal mathematics
- math.MP - Mathematical Physics (new,
recent,
current month)
Mathematical methods in quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics
- math.MG - Metric Geometry (new,
recent,
current month)
Euclidean, hyperbolic, discrete, convex, coarse geometry, comparisons in Riemannian geometry, symmetric spaces
- math.NT - Number Theory (new,
recent,
current month)
Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
- math.NA - Numerical Analysis (new,
recent,
current month)
Numerical algorithms for problems in analysis and algebra, scientific computation
- math.OA - Operator Algebras (new,
recent,
current month)
Algebras of operators on Hilbert space, C^*-algebras, von Neumann algebras, non-commutative geometry
- math.OC - Optimization and Control (new,
recent,
current month)
Operations research, linear programming, control theory, systems theory, optimal control, game theory
- math.PR - Probability (new,
recent,
current month)
Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
- math.QA - Quantum Algebra (new,
recent,
current month)
Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
(subsumes q-alg) - math.RT - Representation Theory (new,
recent,
current month)
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra
- math.RA - Rings and Algebras (new,
recent,
current month)
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups
- math.SP - Spectral Theory (new,
recent,
current month)
Schrodinger operators, operators on manifolds, general differential operators, numerical studies, integral operators, discrete models, resonances, non-self-adjoint operators, random operators/matrices
- math.ST - Statistics (new,
recent,
current month)
math.ST is an alias for stat.TH. Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
- math.SG - Symplectic Geometry (new,
recent,
current month)
Hamiltonian systems, symplectic flows, classical integrable systems