Hee Oh
There is no fear in love.
But perfect love drives out fear,
because fear has to do with punishment.
The one who fears is not made perfect in love.
---1 John 4:18
How to reach me
- E-mail:
heeoh(AT)math(DOT)brown(DOT)edu
- Phone:
(401) 863-1134 (office)
- Fax: (401) 863-9013
- Office: 113 Kassar
Photo with Yoon-Young
Joy
Photo with Pythagoras
Seminars
I am on Sabbatical leave for the academic year 2009-2010
and hence no GA seminar is organized during this period.
Brown Group Actions seminar (Tuesdays at 4)
Other Brown
seminars
Preprints and publications
Some papers below can be slightly different from their printed versions.
For the link to my papers in MathSciNet, click here
- Discreteness criterion for subgroups of products of SL(2)
.
(with Y. Benoist) Preprint (pdf)
- Discrete subgroups of SL_3(R) generated by triangular matrices
.
(with Y. Benoist) IMRN, Article ID 149, 2009 (pdf)
- Apollonian circle packings and closed horospheres on hyperbolic 3
manifolds
.
(with A. Kontorovich, and with an appendix
by Oh and Shah) revised version as of Nov 2009
(pdf)
- Orbital counting via mixing and unipotent flows
.
(Lecture notes for an Advanced mini course,
Clay Summer School on Homogeneous flow, Moduli Spaces, and Arithmetic, Pisa 2007)
(pdf)
- Rational points on homogeneous varieties and
Equidistribution of Adelic periods
.
(with A. Gorodnik, and with an appendix by M. Borovoi)
revised version as of Nov 2009
(pdf)
- Effective equidistribution of $S$-integral points on
symmetric varieties .
(with Y. Benoist). updated version
as of Dec 2008
(pdf )
- Polar decomposition for p-adic symmetric spaces .
(with Y. Benoist). Int. Math. Res. Notices (2007), Article ID 121
(pdf)
- Strong Wavefront lemma and counting lattice points in sectors
.
(with A. Gorodnik and N. Shah). To appear in Israel J. Math
(pdf)
- Integral points on symmetric varieties and Satake compactifications .
(with A. Gorodnik and N. Shah). American J. Math., Vol 131 (2009), 1--57
(pdf)
- Manin's and Peyre's conjectures
on rational points and Adelic mixing .
(with A. Gorodnik
and F. Maucourant). Ann. Sci. Ecole Norm. Sup. Vol 41 (2008) 47--97
(pdf)
- Equidistribution of rational matrices in their
conjugacy classes .
(with Y. Benoist). GAFA., Vol 17 (2007)
(pdf)
- Orbits of discrete subgroups on a symmetric space
and the Furstenberg boundary .
(with A. Gorodnik).
Duke Math. J. Vol 139. (2007), 483--525
(pdf)
- Representations of integers by an invariant polynomial and
unipotent flows .
(with A. Eskin). Duke Math. J., Vol 135. (2006), 481--506
(pdf)
- Ergodic theoretic proof of equidistribution of Hecke points .
(with A. Eskin). Erg. The & Dyn. Sys, Vol 26. (2006), 163--167
(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)
- Hardy-Littlewood system and
representations of integers by an invariant polynomial
.
GAFA, Vol 14 (4), (2004) 791--809
(pdf)
Minor correction: (ps)
- Finiteness of compact maximal flats of bounded volume
.
Ergod. Th and Dynam. Sys. Vol 24(1), (2004), 217--225
(pdf)
- On
uniform exponential growth for linear groups .
(with A. Eskin and S. Mozes). Invent. Math. Vol 160 (1), (2005), 1--30
(pdf)
- On a problem concerning arithmeticity of
discrete groups acting on $H \times ... \times H$ .
in "Algebraic groups and Arithmetic" (TIFR, India)
(pdf)
- Uniform exponential growth for linear groups (announcement) .
(with A. Eskin and S. Mozes). Int. Math. Res. Not. no 31 (2002), 1675-1683
(dvi or ps)
- Harmonic analysis and Hecke operators .
in "Rigidity in Dynamics and Geometry", Springer-Verlag,
edited by Burger and Iozzi
(pdf)
- Equidistribution of integer points on a family of
homogeneous varieties: a problem of Linnik.
(with W. T. Gan). Compositio Math. Vol 136 (2003), 323--352
(pdf)
- Hecke operators and equidistribution of Hecke points .
(with L. Clozel and E. Ullmo). Invent. Math., vol 144 (2001), pp. 327-351
(pdf)
- Adelic version of Margulis arithmeticity theorem .
Math. Ann. vol 321 (2001), 4, pp. 789-815
(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)
- New examples of compact
Clifford-Klein forms of homogeneous spaces of SO(2,n)
.
(with D. Witte). IMRN, 2000, no 5, pp. 235-251
(pdf)
- Cartan decomposition subgroups of SO(2,n).
(with D. Witte). Trans. AMS vol 356 (2004) 1-38
(pdf)
- Compact Clifford-Klein forms of homogeneous spaces of SO(2,n).
(with D. Witte). Geom. Dedicata, vol 89 (2002), 25-57
(pdf)
-
S-arithmeticity 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 )