Includes bibliographical references.

Newton trees at infinity of algebraic curves ; Polynomials (X,Y,Z) of low LND-degree ; Corrigendum to our paper "Birational transformations of weighted graphs" ; Bivariate analogues of Chebyshev polynomials with application to embeddings of affine spaces ; The pencil of translates of a line in the plane ; A geometric proof of Boutot's result on singularities of quotients ; On the present state of the Andersen-Lempert theory ; Group actions on affine cones ; mathbb C^* in mathbb C^2 is birationally equivalent to a line ; Initial algebras and the Jung-van der Kulk theorem ; Holomorphic curves on irregular varieties of general type starting from surfaces ; Locally nilpotent derivations of affine domains ; Equivariant derivations and additive group actions ; Frobenius sandwiches of affine algebraic surfaces ; Automorphism groups of Koras-Russell threefolds of the first kind ; Recent progress in the geometry of mathbb Q acyclic surfaces ; On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties ; Embeddings of hyperbolas ; Groups of Russell type and tango structures