Trends in number theory

Number theory -- Discontinuous groups and automorphic forms -- Modular and automorphic functions Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves of arbitrary genus or genus $\ne 1$ over global fields Field theory and polynomials -- Field extensions -- Inverse Galois theory Number theory Number theory -- Discontinuous groups and automorphic forms -- Forms of half-integer weight; nonholomorphic modular forms Congresses Number theory -- Sequences and sets -- Binomial coefficients; factorials; $q$-identities Group theory and generalizations -- Semigroups -- Commutative semigroups Algebraic geometry -- (Co)homology theory -- Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials