Hee Oh
Blessed is the man
who does not walk in the councel of the wicked
or stand in the way of sinners
or sit in the seat of mockers.
But his delight is in the law of the LORD,
and on his law he meditates day and night.
He is like a tree planted by streams of water,
which yields its fruit in season
and whose leaf does not wither.
from Psalm 1
How to reach me
 Paper mail:
Mathematics department
10 Hillhouse ave
P.O. Box 208283
Yale Univeristy
New Haven, CT 06520
USA
 Email:
hee.oh(AT)yale(DOT)edu
 Phone:
(203) 4324193 (office)
 Fax: (203) 4327316
 Office: 212B LOM
Photos of YoonYoung & Joy
Photo with Pythagoras
Teaching
Introduction to homogeneous Dynamics: Tuesdays and Thursdays 10:2011:30 at LOM205
Recent and Upcoming meetings that I am coorganizing
KIAS Summer school on Homogeneous Dynamics (Seoul, July 26, 2013):
organized
by Emmanuel Breulliard, Dmitry Kleinbock, SeonHee Lim and Hee Oh
Geometric and Arithmetic Aspects of Homogeneous Dynamics (MSRI onesemester program, JanMay, 2015):
organized by Dmitry Kleinbock, Elon Lindenstrauss, JeanFrancois Quint, Alireza SalehiGolsefidy and Hee Oh
Seminars
Yale Group Actions and Dynamics
seminar (Mondays at 4:15pm)
Other Yale
seminars
In press
Article in American Scientist
by Dana Mackenzie on Apollonian gasket
Slides
ICWM Plenary lecture (2014)
Preprints and publications
Some papers below can be slightly different from their printed versions.
Please refer to the numbering from the printed versions.
For the link to my papers in MathSciNet, click here
 Uniform exponential mixing for finitely generated
congruence subgroups of SL_2(Z) and Affine sieve.
(with Dale Winter)
Preliminary version (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) arXiv:1404.1510
(pdf)
 Ergodicity of unipotent flows and Kleinian
groups
(with Amir Mohammadi) arXiv:1112.4024 To appear in Journal of AMS.
(pdf)
 Apollonian circle packings: Dynamics and Number theory
Japanese Journal of Math., Vol 9 (2014), 6997,
Based on the 13th Takagi Lecture series, given in 2013. (pdf)
 Eigenvalues of congruence covers of geometrically finite
hyperbolic manifolds
arXiv:1302.2950 To appear in Journal of Geometric
Analysis (pdf)
 Matrix coefficients, Counting and Primes for orbits of geometrically finite groups
(with Amir Mohammadi) arXiv:1208.4139 To appear in Journal of European Math. Society (pdf)
 Harmonic analysis, Ergodic theory and Counting for thin groups
In "Thin groups and superstrong approximation", edited by Breuillard
and Oh, Math. Sci.Res.Inst.Publ. 61, Cambridge Univ. Press. Cambridge 2014 (pdf)
 Effective circle count for Apollonian packings and
closed horospheres
(with Min Lee), GAFA, Vol 23 (2013), 580621
(pdf)
 Equidistribution and Counting for orbits of geometrically finite hyperbolic
groups
(with Nimish Shah), Journal of AMS, Vol 26 (2013), 511562
(pdf)
 The asymptotic distribution of circles in the orbits of Kleinian groups
(with Nimish Shah) Inventiones Mathematicae, Vol 187 (2012), 135 (pdf)
 Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond
Proceedings of International Congress of Mathematicians (2010), Vol III, 13081331
(pdf)
 Apollonian circle packings and closed horospheres on hyperbolic 3
manifolds
(with Alex Kontorovich, and an appendix
by Oh and Shah) Journal of AMS. 24 (2011), 603648
(pdf)
 On the distribution of orbits of geometrically finite hyperbolic
groups on the boundary
(with Seonhee Lim) Ergod. Th. & Dynam. Sys., Vol 32, 173189 (2012) (pdf)
 Limits of translates of divergent geodesics and integral points on onesheeted
hyperboloids
(with Nimish Shah) Israel J. Math., Vol 199 (2014), pp. 915931 (pdf)
 Counting visible circles on the sphere and Kleinian groups
(with Nimish Shah) To appear in Proceedings of the conference on
"Geometry, Topology and Dynamics in negative curvature" to be published by
the LMS Lecture series. (pdf)
 Almost prime Pythagorean triples in Thin orbits
(with Alex Kontorovich) J. Reine Angew. Math. Vol 667 (2012), 89131
(pdf)
 Discreteness criterion for subgroups of products of SL(2)
(with Yves Benoist) Transformation Groups, Vol 15 (2010), 503515 (pdf)
 Orbital counting via mixing and unipotent flows
in Homogeneous flows, Moduli Spaces and Arithmetic,
Clay Mathematics Proceedings, 2010, Vol 10, 339375
(pdf)
 Rational points on homogeneous varieties and
Equidistribution of Adelic periods
(with Alex Gorodnik, and with an appendix by Mikhail Borovoi)
GAFA, Vol 21 (2011), 319392
(pdf)
 Effective equidistribution of $S$integral points on
symmetric varieties
(with Yves Benoist) Annales de
L'Institut Fourier, Vol 62 (2012), 18891942
(pdf )
 Strong Wavefront lemma and counting lattice points in sectors
(with Alex Gorodnik and Nimish Shah) Israel J. Math., Vol 176 (2010), 419444
(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), 157
(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) 4797
(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), 483525
(pdf)
 Representations of integers by an invariant polynomial and
unipotent flows
(with Alex Eskin) Duke Math. J., Vol 135 (2006), 481506
(pdf)
 Ergodic theoretic proof of equidistribution of Hecke points
(with Alex Eskin) Erg. The & Dyn. Sys, Vol 26 (2006), 163167
(pdf)
 On
uniform exponential growth for linear groups
(with Alex Eskin and Shahar Mozes) Inventiones Math. Vol 160 (2005), 130
(pdf)
 Lattice action on finite volume homogeneous
spaces
J. Korean Math. Soc., Vol 42 (2005), 635653
(pdf)
 The Ruziewicz problem and distributing points on
homogeneous spaces of a compact Lie group
Israel J. Math (Furstenberg volume), Vol 149 (2005), 301316
(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) 791809
(pdf)
Minor correction: (ps)
 Finiteness of compact maximal flats of bounded volume
.
Ergod. Th and Dynam. Sys. Vol 24 (2004), 217225
(pdf)
 Cartan decomposition subgroups of SO(2,n)
(with Dave Witte) Trans. AMS Vol 356 (2004) 138
(pdf)
 Equidistribution of integer points on a family of
homogeneous varieties: a problem of Linnik
(with Wee Teck Gan) Compositio Math. Vol 136 (2003), 323352
(pdf)
 Uniform pointwise bounds for matrix coefficients of
unitary representations and applications to Kazhdan constants
Duke Math. J., vol 113 (2002), pp. 133192
(pdf)
 Uniform exponential growth for linear groups (announcement) .
(with Alex Eskin and Shahar Mozes) Int. Math. Res. Not. no 31 (2002), 16751683
(dvi or ps)
 Compact CliffordKlein forms of homogeneous spaces of SO(2,n)
(with Dave Witte) Geom. Dedicata, vol 89 (2002), 2557
(pdf)
 Hecke operators and equidistribution of Hecke points
(with Laurant Clozel and Emmanuel Ullmo) Inventiones Math., vol 144 (2001), pp. 327351
(pdf)
 Adelic version of Margulis arithmeticity theorem
Math. Ann. vol 321 (2001), 4, pp. 789815
(pdf)
 New examples of compact
CliffordKlein forms of homogeneous spaces of SO(2,n)
(with Dave Witte). IMRN, 2000, no 5, pp. 235251
(pdf)

Sarithmeticity of discrete subgroups containing lattices in
horospherical subgroups
Duke Math. J., vol 101 (2000), pp. 209219

On discrete subgroups containing a lattice in a
horospherical subgroup
Israel J. of Math., vol 110 (1999), pp. 333340
(pdf)
 Tempered subgroups and representations with minimal decay of matrix
coefficients
Bull. Math. Soc. France, vol 126 (1998), pp. 355380
(pdf)
Minor correction: (pdf)
 Discrete subgroups generated by lattices in opposite horospherical
subgroups
J. Algebra, vol 203 (1998), pp. 621676
(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. 12191224(pdf )