• Centroids of groups (with S. Lioutikov)
    Journal of Group Theory.
    [dvi file (93K)] [ps file (290K)]

  • Algebraic geometry over groups II: Logical foundations (with V.Remeslennikov)
    Journal of Algebra, 2000, submitted.
    [dvi file (193K)] [ps file (463K)]

  • Balanced presentations of the trivial group on two generators and the Andrews-Curtis conjecture
    (with A.D. Miasnikov)
    Proceedings of the International Conference on Computation in Groups, Ohio, 1999. To appear.
    [dvi file (24K)] [ps file (117K)]

  • Discriminating and co-discriminating groups (with G. Baumslag and V. Remeslennikov)
    Journal of Group Theory, to appear.
    [dvi file (51K)] [ps file (167K)]

  • Implicit function theorem over free groups and genus problem (with O. Kharlampovich)
    Proceedings of the Birmanfeast, to appear.
    [dvi file (29K)] [ps file (130K)]

  • Algebraic geometry over groups I: Algebraic sets and ideal theory (with G.Baumslag and V.Remeslennikov)
    Journal of Algebra, 1999, v.219, pp.16-79.
    [dvi file (219K)] [ps file (476K)]

  • Malnormality is decidable in free groups (with G.Baumslag and V.Remeslennikov)
    Intern. Journal of Algebra and Computation}, v.9, 6, 1999.
    [dvi file (21K)] [ps file (112K)]

  • Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
    (with O.Kharlampovich)
    J. of Algebra, 1998, v. 200, n. 2, p.472-516.
    [dvi file (161K)] [ps file (360K)]

  • Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups (with O.Kharlampovich)
    J. of Algebra, 1998,v. 200, n. 2, p. 517-570.
    [dvi file (217K)] [ps file (461K)]

  • Equations in a free Q-group ( with O. Kharlampovich)
    Transactions of Math., 350(1998), 3, pp. 947-974.
    [dvi file (118K)] [ps file (0K)]

  • Hyperbolic groups and free constructions (with O. Kharlampovich)
    Transactions of Math., 350(1998), 2, pp.571-613.
    [dvi file (158K)] [ps file (361K)]

  • Two theorems about equationally noetherian groups (with G.Baumslag, V.Romankov)
    Journal of Algebra, 1997, 194, p.654-664.
    [dvi file (34K)] [ps file (151K)]

  • Exponential groups 2: extension of centralizers and tensor completion of CSA-groups (with V.Remeslennikov)
    Intern. Journal of Algebra and Computation, Vol.6, No.6 (1996), p.687-711.
    [dvi file (98K)] [ps file (248K)]

  • CSA groups and separated free constructions (with D. Gildenhuys, O. Kharlampovich)
    Bull. Austr. Math. Soc., 1995, v. 52, 1, p.63-84.
    [dvi file (88K)] [ps file (232K)]