Dynamics for discrete subgroups of SL(2,C).
Preprint, 46 pages (14 figures), submitted to a special volume for Margulis (pdf)
Topological proof of BenoistQuint's orbit closure theorem for SO(d,1).
(with Minju Lee)
To appear in JMD, 14 pages (pdf)

Orbit closures of unipotent flows for hyperbolic manifolds with Fuchsian ends.
(with Minju Lee)
Preprint, 101 pages (pdf)

Exponential mixing and Shrinking targets for geodesic flow on geometrically finite hyperbolic manifolds.
(with Dubi Kelmer)
Preprint, 36 pages (pdf)

Orbit closures for the PSL(2,R)action on hyperbolic 3manifolds (Fields Institute Summer School Lecture Notes).
Preprint (pdf)

Geodesic planes in geometrically finite
acylindrical 3manifolds.
(with Yves Benoist), Preprint, 39 pages, submitted to a special memorial volume for A. Katok in ETDS (pdf)

Geodesic planes in the convex core of an
acylindrical 3manifold.
(with Curt McMullen and Amir Mohammadi), Preprint,32 pages
(pdf)

Local mixing and invariant measures for
horospherical subgroups on abelian covers.
(with Wenyu Pan), To appear in IMRN, 37 pages
(pdf)

Prime number theorems and
holonomies for hyperbolic rational maps
(with Dale Winter), Inventiones Mathematicae, Vol 208 (2017), 401440
(pdf)

Horocycles in hyperbolic 3manifolds
(with Curt McMullen and Amir Mohammadi), GAFA, Vol 26(2016), 961973
(pdf)

Geodesic planes in hyperbolic 3manifolds
(with Curt McMullen and Amir Mohammadi) Inventiones Mathematicae, Vol 209 (2017), 425461
(pdf)

Invariant Radon measures for unipotent flows and
products of Kleinian groups
(with Amir Mohammadi), PAMS. 146 (2018), 14691479
(pdf)

Fuchsian groups and compact hyperbolic surfaces
(with Yves Benoist), L'Enseignement MathÃ©matique, Vol 62 (2016), 189198
(pdf)

Uniform congruence counting for Schottky semigroups in SL_2(Z)
(with Michael Magee and Dale Winter), To appear in
J. Reine Angew. Math.
(pdf)

Uniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of SL_2(Z)
(with Dale Winter) Journal of the AMS, Vol 29(2016), 10691115
(pdf)

Closed geodesics and holonomies for Kleinian manifolds
(with Gregory Margulis and Amir Mohammadi)
GAFA, Vol 24 (2014), 16081636
(pdf)

Classification of joinings for Kleinian groups
(with Amir Mohammadi) Duke Math.J., Vol 165 (2016), 21552223
(pdf)

Matrix coefficients, Counting and Primes for orbits of geometrically finite groups
(with Amir Mohammadi) Journal of the
EMS, Vol 17 (2015), 837897
(pdf)

Ergodicity of unipotent flows and Kleinian groups
(with Amir Mohammadi)
Journal of the AMS, Vol 28 (2015), 531577
(pdf)

Eigenvalues of congruence covers of geometrically finite hyperbolic manifolds
Journal of Geometric
Analysis, Vol 25 (2015), 14211430 (pdf)

Counting visible circles on the sphere and Kleinian groups
(with Nimish Shah) Proceedings of
the conference on
"Geometry, Topology and Dynamics in negative curvature"
(LMS series V0l 425, 272288).
(pdf)

Apollonian circle packings: Dynamics and Number theory
Japanese Journal of Math., Vol 9 (2014), 69–97,
Based on the 13th Takagi Lecture series, given in 2013.
(pdf)

Harmonic analysis, Ergodic theory and Counting for
thin groups
In "Thin groups and superstrong approximation", edited by
Breuillard and Oh, MSRI publ.61
Cambridge Univ. Press. 2014
(pdf)

Limits of translates of divergent geodesics and integral points on onesheeted hyperboloids
(with Nimish Shah) Israel J. Math., Vol 199 (2014),
pp. 915–931
(pdf)

Effective circle count for Apollonian packings and
closed horospheres
(with Min Lee),
GAFA, Vol 23 (2013), 580–621
(pdf)

Equidistribution and Counting for orbits of geometrically
finite hyperbolic groups
(with Nimish Shah),
Journal of the AMS, Vol 26 (2013), 511–562
(pdf)

The asymptotic distribution of circles in the orbits of
Kleinian groups
(with Nimish Shah)
Inventiones Mathematicae, Vol 187 (2012), 1–35
(pdf)

On the distribution of orbits of geometrically finite hyperbolic groups on the boundary
(with Seonhee Lim) Ergod. Th. & Dynam. Sys.,
Vol 32, 173–189 (2012)
(pdf)

Almost prime Pythagorean triples in Thin orbits
(with Alex Kontorovich) J. Reine Angew. Math.
Vol 667 (2012), 89–131
(pdf)

Effective equidistribution of Sintegral points on symmetric varieties
(with Yves Benoist)
Annales de L'Institut Fourier, Vol 62 (2012), 1889–1942
(pdf )

Apollonian circle packings and closed horospheres on
hyperbolic 3 manifolds
(with Alex Kontorovich)
Journal of the AMS. 24 (2011), 603–648
(pdf)

Rational points on homogeneous varieties and Equidistribution of Adelic periods
(with Alex Gorodnik)
GAFA, Vol 21 (2011), 319–392
(pdf)

Dynamics on geometrically finite hyperbolic manifolds with
applications to Apollonian circle packings and beyond
Proceedings of International Congress of Mathematicians (2010),
Vol III, 1308–1331
(pdf)

Discreteness criterion for subgroups of products of SL(2)
(with Yves Benoist)
Transformation Groups, Vol 15 (2010), 503–515
(pdf)

Orbital counting via mixing and unipotent flows
in Homogeneous flows, Moduli Spaces and Arithmetic,
Clay Mathematics Proceedings, 2010, Vol 10, 339–375
(pdf)

Strong Wavefront lemma and counting lattice points in sectors
(with Alex Gorodnik and Nimish Shah)
Israel J. Math., Vol 176 (2010), 419–444
(pdf)

Discrete subgroups of SL_3(R) generated by triangular matrices
(with Yves Benoist)
Int. Math. Res. Notices, Article ID 149, 2009
(pdf)

Integral points on symmetric varieties and Satake
compactifications
(with Alex Gorodnik and Nimish Shah). American J. Math.,
Vol 131 (2009), 1–57
(pdf)

Manin's and Peyre's conjectures on rational points and Adelic mixing
(with Alex Gorodnik and Francois Maucourant)
Ann. Sci. Ecole Norm. Sup. Vol 41 (2008) 47–97
(pdf)

Polar decomposition for padic symmetric spaces
(with Yves Benoist) Int. Math. Res. Notices (2007),
Article ID 121
(pdf)

Equidistribution of rational matrices in their conjugacy classes
(with Yves Benoist)
Geom. and Funct. Analysis, Vol 17 (2007)
(pdf)

Orbits of discrete subgroups on a symmetric space
and the Furstenberg boundary
(with Alex Gorodnik)
Duke Math. J. Vol 139 (2007), 483–525
(pdf)

Representations of integers by an invariant polynomial and unipotent flows
(with Alex Eskin)
Duke Math. J., Vol 135 (2006), 481–506
(pdf)

Ergodic theoretic proof of equidistribution of Hecke points
(with Alex Eskin)
Erg. The & Dyn. Sys, Vol 26 (2006), 163–167
(pdf)

On uniform exponential growth for linear groups
(with Alex Eskin and Shahar Mozes)
Inventiones Math. Vol 160 (2005), 1–30
(pdf)

Lattice action on finite volume homogeneous spaces
J. Korean Math. Soc., Vol 42 (2005), 635–653
(pdf)

The Ruziewicz problem and distributing points on
homogeneous spaces of a compact Lie group
Israel J. Math (Furstenberg volume),
Vol 149 (2005), 301–316
(pdf)

On a problem concerning arithmeticity of
discrete groups acting on $H \times ... \times H$
in "Algebraic groups and Arithmetic" (TIFR, India)
(pdf)

Harmonic analysis and Hecke operators
in "Rigidity in Dynamics and Geometry", SpringerVerlag,
edited by Burger and Iozzi
(pdf)

HardyLittlewood system and representations of integers by
an invariant polynomial
Geom. and Funct. Analysis, Vol 14 (2004) 791–809
(pdf)

Finiteness of compact maximal flats of bounded volume
Ergod. Th and Dynam. Sys. Vol 24 (2004), 217–225
(pdf)

Cartan decomposition subgroups of SO(2,n)
(with Dave Witte) Trans. AMS Vol 356 (2004) 1–38
(pdf)

Equidistribution of integer points on a family of
homogeneous varieties: a problem of Linnik
(with Wee Teck Gan) Compositio Math. Vol 136 (2003), 323–352
(pdf)

Uniform pointwise bounds for matrix coefficients of unitary
representations and applications to Kazhdan constants
Duke Math. J., vol 113 (2002), pp. 133–192
(pdf)

Uniform exponential growth for linear groups (announcement)
(with Alex Eskin and Shahar Mozes) Int. Math. Res. Not. no 31 (2002), 1675–1683

Compact CliffordKlein forms of homogeneous spaces of SO(2,n)
(with Dave Witte) Geom. Dedicata, vol 89 (2002), 25–57
(pdf)

Hecke operators and equidistribution of Hecke points
(with Laurant Clozel and Emmanuel Ullmo) Inventiones Math.,
vol 144 (2001), pp. 327–351
(pdf)

Adelic version of Margulis arithmeticity theorem
Math. Ann. vol 321 (2001), 4, pp. 789–815
(pdf)

New examples of compact CliffordKlein forms of homogeneous
spaces of SO(2,n)
(with Dave Witte). IMRN, 2000, no 5, pp. 235–251
(pdf)

Sarithmeticity of discrete subgroups containing lattices in
horospherical subgroups
Duke Math. J., vol 101 (2000), pp. 209–219

On discrete subgroups containing a lattice in a
horospherical subgroup
Israel J. of Math., vol 110 (1999), pp. 333–340
(pdf)

Tempered subgroups and representations with minimal decay of matrix coefficients
Bull. Math. Soc. France, vol 126 (1998), pp. 355–380
(pdf)
Minor correction: (pdf)

Discrete subgroups generated by lattices in opposite horospherical subgroups
J. Algebra, vol 203 (1998), pp. 621–676
(pdf)

Arithmetic properties of some Zariski dense subgroups
Proceedings of International Colloquium on "Lie groups and
Ergodic theory" in TIFR, Bombay, 1996

Discrete subgroups of SL_n(R) generated by lattices in horospherical subgroups
C. R. Acad. Sci. Paris, Series I, vol 323 (1996),
pp. 1219–1224
(pdf)