Includes bibliographical references.

Open problems in affine algebraic geometry ; Purely inseparable orms of affine algebraic curves ; Generic fibrations by bf A^1 and bf A^* over discrete valuation rings ; Hesse and the Jacobian conjecture ; Bad field generators ; Coordinates in ideals of polynomial algebras ; On the uniqueness of Bbb C^* ctions on affine surfaces ; On two recent views of the Jacobian conjecture ; Singularities on normal affine 3folds containing Bbb A^1 ylinderlike open subsets ; Free Bbb C^+ ctions on affine threefolds ; Again +x^2y+z^2+t^3=0 ; Equivariant cancellation for algebraic varieties ; Constructing polynomial mappings using noncommutative algebras ; On the generic curve of genus 3 ; Orders of points on elliptic curves ; Test polynomials, retracts, and the Jacobian conjecture ; The Jacobian conjecture: ideal membership questions and recent advances G Freudenburg and P Russell ; Teruo Asanuma ; Teruo Asanuma S M Bhatwadekar and Nobuharu Onoda ; Michiel de Bondt and Arno van den Essen ; Pierrette CassouNogues ; Vesselin Drensky ; Hubert Flenner and Mikhail Zaidenberg ; Tatsuji Kambayashi and Masayoshi Miyanishi ; Takashi Kishimoto ; Hanspeter Kraft ; Leonid MakarLimanov ; Kayo Masuda and Masayoshi Miyanishi ; Ronen Peretz ; Tanush Shaska and Jennifer L Thompson ; Igor E Shparlinski ; Vladimir Shpilrain and JieTai Yu ; David Wright