Recent publications:

• Ergodic Ramsey Theory -- an update, Ergodic Theory of Z^d-actions (edited by M. Pollicott and K. Schmidt), London Math. Soc. Lecture Note Series 228 (1996), 1-61. dvi pdf
• Polynomial extensions of van der Waerden's and Szemeredi's theorems (jointly with A. Leibman), Journal of AMS 9 (1996), no.3, 725-753. dvi pdf
• A Roth theorem for amenable groups (jointly with R. McCutcheon and Q. Zhang), Amercan Journal of Mathematics 119 (1997), 1173-1211 dvi pdf
• Recurrence for semigroup actions and a non-commutative Schur theorem (jointly with R. McCutcheon), Topological dynamics and applications Contemporary Mathematics, 215 (1998), 205-222, Amer. Math. Soc., Providence, RI dvi pdf
• Set-polynomials and polynomial extension of the Hales-Jewett theorem (jointly with A. Leibman), Annals of Math. 150 (1999), 33-75. dvi pdf
• The multifarious Poincare recurrence theorem, Descriptive set theory and dynamical systems (edited by M. Foreman, A. Kechris, A. Louveau, B. Weiss), London Math. Soc. Lecture Note Series 277 (2000), 31-57. dvi pdf
• Ergodic theory and diophantine problems, Topics in symbolic dynamics and applications (edited by F. Blanchard, A. Maass and A. Nogueira), London Math. Soc. Lecture Note Series 279 (2000), 167-205. dvi pdf
• An ergodic IP polynomial Szemeredi theorem (jointly with R. McCutcheon), Mem. Amer. Math. Soc 146 (2000), viii+106pp. dvi pdf
• Krengel-type theorems for nilpotent groups (jointly with A. Leibman, I. Kornfeld and B. Mityagin), Ergodic Theory and Dynamical Systems 21 (2001), 1359-1369. dvi pdf
• A nilpotent Roth theorem (jointly with A. Leibman), Inventiones Mathematicae 147 (2002), 429-470. dvi pdf
• Squarefree numbers, IP sets and ergodic theory (jointly with I. Ruzsa), "Paul Erdos and his Mathematics I", Bolyai Society Mathematical Studies, 11, Budapest (2002), 147-160. dvi pdf
• Topological multiple recurrence for polynomial configurations in nilpotent groups (jointly with A. Leibman), Advances in Mathematics 175 (2003), no. 2, 271-296. dvi pdf
• Minimal idempotents and ergodic Ramsey theory, Topics in Dynamics and Ergodic Theory 8-39, London Math. Soc. Lecture Note Series 310, Cambridge Univ. Press, Cambridge, 2003 dvi pdf
• Failure of Roth theorem for solvable groups of exponential growth (jointly with A. Leibman), Ergodic Theory and Dynamical Systems 24 (2004), no. 1, 45-53. dvi, pdf.
• Some historical comments and modern questions around the Ergodic Theorem, Dynamics of Complex Systems 1-11, Research Institute for Math. Sciences, Kyoto, 2004 dvi pdf
• Polynomial Szemeredi theorem for countable modules over integral domains and finite fields (jointly with A. Leibman and R. McCutcheon), Journal d'Analyse Mathematique 95 (2005), 243-296. dvi, pdf.
• Simultaneous Diophantine approximations and VIP systems (jointly with I. Haaland and R. McCutcheon), Acta Arithmetica 116 (2005) no. 1, 13--23. dvi pdf
• Multiple recurrence and nilsequences (jointly with B. Host and B. Kra, with an appendix by I. Ruzsa), Inventiones Mathematicae 160 (2005), no. 2, 261-303 pdf
• Combinatorial and Diophantine Applications of Ergodic Theory (with appendices by A. Leibman and by A. Quas and M. Wierdl), Handbook of Dynamical Systems, vol. 1B, B. Hasselblatt and A. Katok, eds., Elsevier (2005), pp. 745-841 dvi pdf
• Multiplicatively large sets and ergodic Ramsey theory, Israel Journal of Mathematics 148 (2005), 23-40 dvi pdf
• Multiplicative structures in additively large sets (jointly with M. Beiglbock, N. Hindman and D. Strauss), to appear in Journal of Combinatorial Theory dvi pdf
• IP Systems, generalized polynomials and recurrence (jointly with I.J. Haaland Knutson and R. McCutcheon), to appear in Ergodic Theory and Dynamical Systems dvi pdf
• Some new results in multiplicative and additive Ramsey Theory (jointly with M. Beiglbock, N. Hindman and D. Strauss), submitted dvi pdf
• Central sets and a non-commutative Roth theorem (jointly with R. McCutcheon), submitted dvi pdf
• Distribution of values of bounded generalized polynomials (jointly with A. Leibman), submitted dvi pdf
• Weyl complexity of a system of polynomials and constructions in combinatorial number theory (jointly with A. Leibman and E. Lesigne), submitted dvi pdf
• Affine actions of a free semigroup on the real line (jointly with M. Misiurewicz and S. Senti), submitted dvi pdf
• Ergodicity and mixing of noncommuting epimorphisms (jointly with A. Gorodnik), submitted pdf