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. 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. pdf
• A Roth theorem for amenable groups (jointly with R. McCutcheon and Q. Zhang), Amercan Journal of Mathematics 119 (1997), 1173-1211. 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. pdf
• Set-polynomials and polynomial extension of the Hales-Jewett theorem (jointly with A. Leibman), Annals of Math. 150 (1999), 33-75. 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. 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. pdf
• An ergodic IP polynomial Szemeredi theorem (jointly with R. McCutcheon), Mem. Amer. Math. Soc. 146 (2000), viii+106pp. 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. pdf
• A nilpotent Roth theorem (jointly with A. Leibman), Inventiones Mathematicae 147 (2002), 429-470. 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. pdf
• Topological multiple recurrence for polynomial configurations in nilpotent groups (jointly with A. Leibman), Advances in Mathematics 175 (2003), no. 2, 271-296. 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. 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. pdf
• Weakly mixing group actions: a brief survey and an example (jointly with A. Gorodnik), Modern dynamical systems and applications 3-25, Cambridge Univ. Press, Cambridge, 2004. (Revised and updated version.) pdf
• Some historical comments and modern questions around the Ergodic Theorem, Dynamics of Complex Systems 1-11, Research Institute for Math. Sciences, Kyoto, 2004. 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. pdf
• Simultaneous Diophantine approximations and VIP systems (jointly with I. Haaland and R. McCutcheon), Acta Arithmetica 116 (2005) no. 1, 13-23. 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
• Multiplicatively large sets and ergodic Ramsey theory, Israel Journal of Mathematics 148 (2005), 23-40. 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, 2006, pp. 745-841. pdf
• Piecewise-Bohr sets of integers and combinatorial number theory (jointly with H. Furstenberg and B. Weiss), Topics in Discrete Mathematics (Dedicated to Jarik Nesetril on the occasion of his 60th birthday) Springer, 2006, 13-37. pdf
• Ergodic Ramsey Theory: a dynamical approach to static theorems Proceedings of the International Congress of Mathematicians Vol. II, 1655-1678, European Math. Society, Zurich, 2006. pdf
• Affine actions of a free semigroup on the real line (jointly with M. Misiurewicz and S. Senti), Ergodic Theory and Dynamamical Systems 26 (2006), 1285-1305. pdf
• Multiplicative structures in additively large sets (jointly with M. Beiglbock, N. Hindman and D. Strauss), Journal of Combinatorial Theory (Ser. A) 113 (2006), 1291-1242. pdf
• IP-systems, generalized polynomials and recurrence (jointly with I.J. Haaland Knutson and R. McCutcheon), Ergodic Theory and Dynamical Systems 26 (2006), 1-21. pdf
• Central sets and a non-commutative Roth theorem (jointly with R. McCutcheon), American Journal of Mathematics 129 (2007), no. 5, 1251-1275. pdf
• Mixing properties of noncommutative groups of automorphisms of compact groups (jointly with A. Gorodnik), Proceedings of London Math. Soc. 95 (2007), no. 2, 329-359. pdf
• Distribution of values of bounded generalized polynomials (jointly with A. Leibman), Acta Mathematica 198 (2007), 155-230. pdf
• Weyl complexity of a system of polynomials and constructions in combinatorial number theory (jointly with A. Leibman and E. Lesigne), Journal D'Analyse Mathematique 103 (2007), 47-92. pdf
• Large sets of integers and hierarchy of mixing properties of measure-preserving systems (jointly with T. Downarowicz), Colloquium Mathematicum 110 (2008), no. 1, 117-150. pdf
• Some new results in multiplicative and additive Ramsey Theory (jointly with M. Beiglbock, N. Hindman and D. Strauss), Transactions of AMS 360 (2008) no. 2, 819-847. pdf
• Van der Corput sets in Z^d (jointly with E. Lesigne), Colloquium Mathematicum 110 (2008), no. 1, 1-49. pdf
• Questions on amenability, L'Enseignement Mathematique 54 (2008), no. 2, 28-30. pdf
• Ledrappier's system is almost mixing of all orders (jointly with L. Arenas and D. Berend), Ergodic Theory and Dynamical Systems 28 (2008), no. 2, 339-365. pdf
• Intersective polynomials and the polynomial Szemeredi theorem (jointly with A. Leibman and E. Lesigne), Advances in Mathematics 219 (2008), 369-388. pdf
• Sumsets in difference sets (jointly with I. Ruzsa), Israel Journal of Mathematics i174 (2009), 1-18. pdf
• Weak mixing implies weak mixing of higher orders along tempered functions (jointly with I.J.H. Knutson), Ergodic Theory and Dynamical Systems 29 (2009), no.5, 1375-1416. pdf
• Solvability of Rado systems in D-sets (jointly with H. Beiglbock, T. Downarowicz and A. Fish), Topology and its Applications 156 (2009) no.16, 2565-2571. pdf
• WM groups and Ramsey theory (jointly with H. Furstenberg), Topology and its Applications 156 (2009), no.16, 2572-2580. pdf
• Idempotent ultrafilters, multiple weak mixing and Szemeredi's theorem for generalized polynomials (jointly with R. McCutcheon), Journal D'Analyse Mathematique 111 (2010) 77-130. pdf
• Sumset Phenomenon in Countable Amenable Groups (jointly with M. Beiglbock and A. Fish), Advances in Mathematics 223 (2010), no. 2, 416-432. pdf
• Ultrafilters, IP sets, Dynamics, and Combinatorial Number Theory, Contemporary Mathematics 530 (2010), 23-47. pdf
• An inverse theorem for the uniformity seminorms associated with the action of F^\omega (jointly with T. Tao and T. Ziegler), GAFA 19 (2010), 1539–1596. pdf
• Polynomials at iterated spectra near zero (jointly with N. Hindman and D. Strauss), Topology and its Applications 158 (2011), 1815-1830. pdf
• The shifted primes and the multidimensional Szemeredi and polynomial van der Waerden theorems (jointly with A. Leibman and T. Ziegler), C. R. Math. Acad. Sci. Paris 349 (2011), no. 3-4, 123–125. Arxiv
• From discrete- to continuous-time ergodic theorems (jointly with A. Leibman and C.G. Moreira), to appear in Ergodic Theory and Dynamical Systems.
• Quotient sets and density recurrent sets (jointly with N. Hindman), to appear in Transactions of AMS. pdf
• Strongly central sets and sets of polynomial returns mod 1 (jointly with N. Hindman and D. Strauss), to appear in Proceedings of AMS. pdf
• Polynomial extensions of the milliken-taylor theorem (jointly with N. Hindman and K. Williams), submitted. pdf
• Rigidity and non-recurrence along Sequences (jointly with A. del Junco, M. Lemańczyk, J. Rosenblatt), submitted. Arxiv