Preprints

• Polynomial extensions of van der Waerden's and Szemeredi's theorems (joint with V. Bergelson), Journal of AMS 9 (1996), 725-753
• Polynomial sequences in groups (corrected version), Journal of Algebra 201 (1998), 189-206; Erratum
• Multiple recurrence theorem for measure preserving actions of a nilpotent group, Geometric and Functional Analysis 8 (1998), 853-931
• Set-polynomials and polynomial extension of the Hales-Jewett theorem (joint with V. Bergelson), Annals of Mathematics 150 (1999), 33-75
• The structure of unitary actions of finitely generated nilpotent groups, Ergodic Theory and Dynamical Systems 20 (2000), 809-820
• Krengel-type theorems for nilpotent groups (joint with V. Bergelson, I. Kornfeld and B. Mityagin), Ergodic Theory and Dynamical Systems 21 (2001), 1359-1369
• Polynomial mappings of groups (corrected version), Israel Journal of Matematics 129 (2002), 29-60; Erratum
• A nilpotent Roth theorem (joint with V. Bergelson), Inventiones Mathematicae 147 (2002), 429-470
• Lower bounds for ergodic averages, Ergodic Theory and Dynamical Systems 22 (2002), 863-872
• Topological multiple recurrence for polynomial configurations in nilpotent groups (joint with V. Bergelson), Advances in Mathematics 175 (2003), no. 2, 271-296
• Failure of Roth theorem for solvable groups of exponential growth (joint with V. Bergelson), Ergodic Theory and Dynamical Systems 24 (2004), no. 1, 45-53
• Polynomial Szemeredi theorem for countable modules over integral domains and finite fields (joint with V. Bergelson and R. McCutcheon), Journal d'Analyse Mathematique 95 (2005), 243-296
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold, Ergodic Theory and Dynamical Systems 25 (2005), no. 1, 201-113
• Pointwise convergence of ergodic averages for polynomial actions of Z^d by translations on a nilmanifold, Ergodic Theory and Dynamical Systems 25 (2005), no. 1, 215-225
• Convergence of multiple ergodic averages along polynomials of several variables, Israel Journal of Mathematics 146 (2005), 303-315
• Rational sub-nilmanifolds of a compact nilmanifold, Ergodic Theory and Dynamical Systems 26 (2006), 787-798
• Host-Kra and Ziegler factors and convergence of multiple averages, Handbook of Dynamical Systems, vol. 1B, B. Hasselblatt and A. Katok, eds., Elsevier (2005), 841-853
• Distribution of values of bounded generalized polynomials (joint with V. Bergelson), Acta Mathematica 198 (2007), 155-230
• Orbits on a nilmanifold under the action of a polynomial sequence of translations, Ergodic Theory and Dymanical Systems 27 (2007), 1239-1252
• Weyl complexity of a system of polynomials and constructions in combinatorial number theory (joint with V. Bergelson and E. Lesigne), Jounal D'Analyse Mathematique 103 (2007), 47-92
• Orbit of the diagonal in the power of a nilmanifold
• Ergodic components of an extension by a nilmanifold
• Intersective polynomials and the polynomial Szemeredi theorem (joint with V. Bergelson and E. Lesigne)
• Multiple polynomial sequences and nilsequences (corrected and improved)