Galois theory 3 Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type 2 $K$-theory -- Topological $K$-theory -- Equivariant $K$-theory 1 Algebraic geometry -- (Co)homology theory -- Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 1 Algebraic number theory 1 Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications 1 Field theory and polynomials -- Field extensions -- Inverse Galois theory 1 more ... Group theory 1 Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over local fields and their integers 1 Group theory and generalizations -- Semigroups -- Commutative semigroups 1 Number theory 1 Number theory -- Algebraic number theory: global fields -- Langlands-Weil conjectures, nonabelian class field theory 1 Number theory -- Algebraic number theory: local and $p$-adic fields -- Langlands-Weil conjectures, nonabelian class field theory 1 Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves of arbitrary genus or genus $\ne 1$ over global fields 1 Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields 1 Number theory -- Discontinuous groups and automorphic forms -- $p$-adic theory, local fields 1 Number theory -- Discontinuous groups and automorphic forms -- Forms of half-integer weight; nonholomorphic modular forms 1 Number theory -- Discontinuous groups and automorphic forms -- Modular and automorphic functions 1 Number theory -- Discontinuous groups and automorphic forms -- Other groups and their modular and automorphic forms (several variables) 1 Number theory -- Discontinuous groups and automorphic forms -- Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols 1 Number theory -- Sequences and sets -- Binomial coefficients; factorials; $q$-identities 1 Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over local fields 1 Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over real fields: analytic methods 1 less ...