Stable reduction of modular curves -- On p-adic families of automorphic forms -- ?-curves and abelian varieties of GL2-type from dihedral genus 2 curves -- The old subvariety of J0(NM) -- Irreducibility of Galois actions on level 1 Siegel cusp forms -- On elliptic K-curves -- ?-curves and Galois representations -- On the local behaviour of ordinary modular Galois representations -- Arithmetic of ?-curves -- Serreโ{128}{153}s conjecture for mod 7 Galois representations -- Pairings in the arithmetic of elliptic curves -- Explicit parametrizations of ordinary and supersingular regions of X0(Pn) -- Elliptic ?-curves with complex multiplication -- Abelian varieties over ? with large endomorphism algebras and their simple components over ? -- Abelian varieties over ? and modular forms -- Shimura curves embedded in Igusaโ{128}{153}s threefold -- Shafarevich-Tate groups of nonsquare order