[5501] On the rational approximations to the powers of an algebraic number: Solution of two problems of Mahler and Mendès France

[5502] A Hopf differential for constant mean curvature surfaces in$S$^{2}$×R$and$H$^{2}$×R$

[5503] Subgroup growth of lattices in semisimple Lie groups

[5504] Counting congruence subgroups

[5505] Half-line Schrödinger operators with no bound states

[5506] Siegel disks with smooth boundaries

[5507] The second main theorem for small functions and related problems

[5508] Two cardinal invariants of the continuum (∂<α) and FS linearly ordered iterated forcing

[5509] Harmonic analysis, cohomology, and the large-scale geometry of amenable groups

[5510] Solid von Neumann algebras

[5511] The order of the top Chern class of the Hodge bundle on the moduli space of abelian varieties

[5512] On the density of geometrically finite Kleinian groups

[5513] Finite loop spaces are manifolds

[5514] Erratum to: “Spectral theory of Laplacians for Hecke groups with primitive character”

[5515] Torus actions on manifolds of positive sectional curvature

[5516] Universal properties of$L$($F$_{∞}) in subfactor theory

[5517] Teichmüller geodesics of infinite complexity

[5518] Noncritical holomorphic functions on Stein manifolds

[5519] A simple$C$^{*}-algebra with a finite and an infinite projection

[5520] Topology of sobolev mappings, II

[5521] Determination of the spectral gap for Kac's master equation and related stochastic evolution

[5522] Best uniform rational approximation of$x$^{α}on [0, 1]

[5523] The$Tb$-theorem on non-homogeneous spaces

[5524] Painlevé's problem and the semiadditivity of analytic capacity

[5525] A parametrized index theorem for the algebraic$K$-theory Euler class