# Tags

A tag is a keyword or label that categorizes your question with other, similar questions. Using the right tags makes it easier for others to find and answer your question.

mp.mathematical-physics× 1389

Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

algebraic-groups× 1378

Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.

lie-algebras× 1378

algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s…

stochastic-processes× 1318

a collection of random variables usually indexed by a totally ordered set.

oa.operator-algebras× 1310

Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry

arithmetic-geometry× 1251

Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, Mochizuki theory.

prime-numbers× 1232

Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers…

st.statistics× 1203

Applied and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments.

algebraic-number-theory× 1187

Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, …

algorithms× 1076

a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on …

differential-equations× 1041

Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

differential-topology× 1025

The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topol…

ho.history-overview× 990

History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.

probability-distributions× 973

In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference…

elliptic-curves× 958

an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also th…

computational-complexity× 957

a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic compu…

banach-spaces× 936

a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.

cohomology× 924

A branch of algebraic topology concerning the study of cocycles and coboundaries. It is in some sense a dual theory to homology theory. This tag can be further specialized by using it in conjunction…

fourier-analysis× 903

The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Four…

na.numerical-analysis× 879

Numerical algorithms for problems in analysis and algebra, scientific computation

discrete-geometry× 866

Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

harmonic-analysis× 802

a generalisation of Fourier analysis that studies the properties of functions. Check out this tag for abstract harmonic analysis (on abelian locally compact groups), or Euclidean …

smooth-manifolds× 734

Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topo…

big-list× 715

Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be i…

oc.optimization-and-control× 710

Operations research, linear programming, control theory, systems theory, optimal control, game theory

model-theory× 701

the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.

integration× 694

Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals,…

vector-bundles× 680

A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bu…

higher-category-theory× 675

For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.

operator-theory× 674

Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.

algebraic-curves× 658

for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.

kt.k-theory-and-homology× 619

Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras