Papers

Polynomial extensions of van der Waerden's and Szemeredi's theorems
(joint with V. Bergelson),
Journal of AMS
9 (1996), 725753

Polynomial sequences in groups
(corrected),
Journal of Algebra
201 (1998), 189206;
Erratum

Multiple recurrence theorem
for measure preserving actions of a nilpotent group,
Geometric and Functional Analysis
8 (1998), 853931

Setpolynomials and polynomial extension of the HalesJewett theorem
(joint with V. Bergelson),
Annals of Mathematics
150 (1999), 3375

The structure of unitary actions of finitely generated nilpotent groups,
Ergodic Theory and Dynamical Systems
20 (2000), 809820

Krengeltype theorems for nilpotent groups
(joint with V. Bergelson, I. Kornfeld and B. Mityagin),
Ergodic Theory and Dynamical Systems
21 (2001), 13591369

Polynomial mappings of groups
(corrected version),
Israel Journal of Matematics
129 (2002), 2960;
Erratum

A nilpotent Roth theorem
(joint with V. Bergelson),
Inventiones Mathematicae
147 (2002), 429470

Lower bounds for ergodic averages,
Ergodic Theory and Dynamical Systems
22 (2002), 863872

Topological multiple recurrence
for polynomial configurations in nilpotent groups
(joint with V. Bergelson),
Advances in Mathematics
175 (2003), no. 2, 271296

Failure of Roth theorem for solvable groups of exponential growth
(joint with V. Bergelson),
Ergodic Theory and Dynamical Systems
24 (2004), no. 1, 4553

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), 243296

Pointwise convergence of ergodic averages
for polynomial sequences of translations on a nilmanifold,
Ergodic Theory and Dynamical Systems
25 (2005), no. 1, 201113

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, 215225

Convergence of multiple ergodic averages
along polynomials of several variables,
Israel Journal of Mathematics
146 (2005), 303315

Rational subnilmanifolds of a compact nilmanifold,
Ergodic Theory and Dynamical Systems
26 (2006), 787798

HostKra and Ziegler factors
and convergence of multiple averages,
Handbook of Dynamical Systems,
vol. 1B, B. Hasselblatt and A. Katok, eds., Elsevier (2005), 841853

Distribution of values of bounded generalized polynomials
(joint with V. Bergelson),
Acta Mathematica
198 (2007), 155230

Orbits on a nilmanifold
under the action of a polynomial sequence of translations,
Ergodic Theory and Dymanical Systems
27 (2007), 12391252

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), 4792

Intersective polynomials and the polynomial Szemeredi theorem
(joint with V. Bergelson and E. Lesigne),
Advances in Mathematics
219 (2008), no. 1, 369388

Ergodic components of an extension by a nilmanifold,
Illinois Journal of Mathematics
103 (2008), 957965

Orbit of the diagonal in the power of a nilmanifold,
Transactions of AMS
362 (2010), 16191658

Multiple polynomial correlation sequences and nilsequences,
Ergodic Theory and Dynamical Systems
30 (2010), 841854

A canonical form and the distribution of values of generalized polynomials,
Israel Journal of Mathematics,
188 (2012), 131176.

From discrete to continuoustime ergodic theorems
(joint with V. Bergelson and C. G. Moreira),
Ergodic Theory and Dynamical Systems,
32 (2012), no. 2, 383426.

Nilsequences, nullsequences, and multiple correlation sequences
(corrected),
Ergodic Theory and Dynamical Systems
35 (2015), no. 1, 176191.

Joint ergodicity along generalized linear functions
(joint with V.~Bergelson and Y.~Son),
to appear in Ergodic Theory and Dynamical Systems.

A Weyltype equidistribution theorem in finite characteristic
(joint with V.~Bergelson),
to appear in Advances in Mathematics.

Sets of large values of correlation function for polynomial cubic configurations
(joint with V.~Bergelson).

IP_{r}^{*} recurrence and nilsystems
(joint with V.~Bergelson).