Publications

• (with H. Oh and N. Shah) Strong wavefront lemma and counting lattice points in sectors ( PDF )
  preprint, 2006.


• (with H. Oh and N. Shah) Integral points on symmetric varieties and Satake compactifications ( PDF )
  submitted, 2006.


• (with A. Nevo) The ergodic theory of lattice subgroups ( PDF     PS )
  submitted, 2006.


• (with F. Maucourant and H. Oh) Manin's conjecture on rational points of bounded height and adelic mixing ( PDF )
  submitted, 2006.


• (with V. Bergelson) Ergodicity and mixing of noncommuting epimorphisms ( PDF )
  to appear in Proc. London Math. Soc.


• Open problems in dynamics and related fields. ( PDF )
  Journal of Modern Dynamics 1 (2007), no. 1, 1--35.


• (with B. Weiss) Distribution of lattice orbits on homogeneous varieties. ( DVI     PDF )
  to appear in GAFA.


• (with F. Maucourant) Proximality and equidistribution on the Furstenberg boundary. ( DVI     PDF )
  Geom. Dedicata 113 (2005), 197--213.


• (with H. Oh) Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary. ( DVI     PDF )
  to appear in Duke Math. J.


• (with V. Bergelson) Weakly mixing group actions: a brief survey and an example. ( DVI     PDF )
  in Modern Dynamical Systems and Applications, B. Hasselblatt, M. Brin, Y. Pesin, eds., Cambridge University Press, New York, 2004.


• Uniform distribution of orbits of lattices on spaces of frames. ( DVI     PDF )
  Duke Math. J. 122 (2004), no. 3, 549--589.


• Oppenheim conjecture for pairs consisting of a linear form and a quadratic form. ( DVI     PDF )
  Trans. Amer. Math. Soc. 356 (2004), no. 11, 4447--4463.


• On Oppenheim-type conjecture for systems of quadratic forms. ( DVI     PDF )
  Israel J. Math. 140 (2004), 125--144.


• Lattice action on the bounday of SL(n,R). ( DVI     PDF )
  Ergodic Theory Dynam. Systems 23 (2003), no. 6, 1817--1837.


• Local near-rings with commutative groups of units. ( abstract     DVI )
  Houston J. Math. 25 (1999), no. 2, 223-234.


• The product of an abelian group and a nilpotent group.
  Ukrainian Math. J. 51 (1999), no. 9, 1314-1320.


• On the product of groups with finite commutants.
  in Contemporary problems of mechanics and mathematics, Lviv, 1998.

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Talks

• Green-Tao proof on arithmetic progressions in primes I. ( PDF )


• Green-Tao proof on arithmetic progressions in primes II. ( PDF )


• (with Barak Weiss) Uniform distribution of orbits of lattices. ( PDF )


• (with Barak Weiss) Equidistribution on homogeneous spaces. ( PDF )


• (with Amos Nevo) Ergodic Theory of semisimple lattices. ( PDF )


• (with Francois Maucourant and Hee Oh) Rational points on algebraic varieties and homogeneous flows. ( PDF )

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Notes

• Green-Tao proof on arithmetic progressions in primes. ( PDF )