Commutative algebra -- Arithmetic rings and other special rings -- Cluster algebras Affine algebraic groups 1 Algebra 1 Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Topological properties 1 Algebraic geometry -- Abelian varieties and schemes -- Isogeny 1 Algebraic geometry -- Birational geometry -- McKay correspondence 1 Algebraic geometry -- Cycles and subschemes -- Riemann-Roch theorems 1 more ... Algebraic geometry -- Projective and enumerative geometry [See also 51-XX] -- Classical problems, Schubert calculus 1 Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35] 1 Algebraic geometry -- Special varieties -- Homogeneous spaces and generalizations [See also 32M10, 53C30, 57T15] 1 Associative rings and algebras -- Homological methods -- Homological dimension 1 Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Connections with combinatorics 1 Associative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings 1 Associative rings and algebras {For the commutative case, see 13-XX} -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.) 1 Associative rings and algebras {For the commutative case, see 13-XX} -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets 1 Category theory; homological algebra -- Abelian categories -- Localization of categories 1 Category theory; homological algebra -- Categories and geometry -- Grothendieck groups 1 Category theory; homological algebra -- Instructional exposition (textbooks, tutorial papers, etc.) 1 Cluster algebras 1 Combinatorics {For finite fields, see 11Txx} -- Algebraic combinatorics -- Combinatorial aspects of representation theory [See also 20C30] 1 Commutative algebra -- Homological methods -- Local cohomology 1 Dynamical systems and ergodic theory -- Low-dimensional dynamical systems -- Rotation numbers and vectors 1 Dynkin diagrams 1 Euler characteristic 1 Functional analysis -- Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) -- Infinite-dimensional holomorphy 1 Functional analysis -- Topological algebras, normed rings and algebras, Banach algebras -- General theory of topological algebras 1 Functions of a complex variable -- Riemann surfaces -- Compact Riemann surfaces and uniformization 1 Geometry, Algebraic 1 Grassmann manifolds 1 Group theory and generalizations -- Linear algebraic groups and related topics -- Cohomology theory 1 less ...