Amir Mohammadi
How to reach me
Preprints and publications

An effective version of the Oppenheim conjecture with a polynomial error rate.
pdf,
(with E. Lindenstrauss, Z. Wang, and L. Yang).
Preprint.

Quantitative equidistribution and the local statistics of the spectrum of a flat torus.
pdf,
(with E. Lindenstrauss and Z. Wang).
Preprint.

Effective equidistribution for some one parameter unipotent flows.
pdf,
(with E. Lindenstrauss and Z. Wang).
Preprint.

Polynomial effective equidistribution.
pdf,
(with E. Lindenstrauss and Z. Wang).
C. R. Math., to appear.

Polynomial effective density in quotients
of H^{3} and H^{2} × H^{2}.
pdf,
(with E. Lindenstrauss).
Invent. Math., to appear.

Finitary analysis in homogeneous spaces.
pdf,
Proceedings of the ICM 2022, to appear.

Property tau in positive characteristic.
pdf,
(with N. Tamam).
Israel J. Math., to appear.

BenjaminiSchramm convergence of periodic orbits.
pdf,
(with K. Rafi).
Geom. Dedicatae, to appear.

Locally random groups.
pdf,
(with K. Mallahi Karai and A. Salehi Golsefidy).
Michigan Math. J. (Prasad volume), to appear.

Isolations of geodesic planes in the frame bundle of a hyperbolic 3manifold.
pdf,
(with H. Oh).
Compositio Math., to appear.

Effective counting of simple closed geodesics on hyperbolic surfaces.
pdf,
(with A. Eskin and M. Mirzakhani).
Journal of European Math. Society, to appear.

Quantitative behavior of unipotent flows and an effective avoidance principle.
pdf,
(with E. Lindenstrauss, G. Margulis, and N. Shah).
Journal d'Analyse, to appear.

Arithmeticity of hyperbolic 3manifolds with infinitely many totally geodesic surfaces.
pdf,
(with G. Margulis).
Ergodic Theory and Dynam. Systems, special volume in the memory of A. Katok, to appear.

Diameter of homogeneuous spaces: An effective account.
pdf,
(with A. Salehi Golsefidy and F. Thilmany).
Math. Ann., to appear

Effective arguments in unipotent dynamics.
pdf,
(with M. Einsiedler).
In: Dynamics, Geometry, Number theory: The impact of Margulis on Modern Mathematics.

Geodesic planes in the convex core of an acylindrical 3manifold.
pdf,
(with C. McMullen and H. Oh).
Duke Math. J., 171 (2022), no. 5, 10291060.

Diagonal actions in positive characteristic.
pdf,
(with M. Einsiedler and E. Lindenstrauss).
Duke Math. J., 169 (2020), no. 1, 117175.

Effective equidistribution and property tau.
pdf,
(with M. Einsiedler, G. Margulis, and A. Venkatesh).
Journal of the AMS, 33 (2020), 223289

On effective equidistribution for quotients of SL(d, R).
pdf,
(with M. Aka, M. Einsiedler, and H. Li).
Israel J. of Math., 236 (2020), 365391

Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces.
pdf,
(with A. Salehi Golsefidy).
Geom. and Func. Anal., 28 (2018), no. 1, 179227.

Geodesic planes in hyperbolic 3manifolds.
pdf,
(with C. McMullen and H. Oh).
Invent. Math., 209 (2017), 425461.

Horocycles in hyperbolic 3manifolds.
pdf,
(with C. McMullen and H. Oh).
Geom. and Func. Anal., 26 (2016), no. 3, 961973.

Invariant Radon measures for Unipotent flows and products of Kleinian groups.
pdf,
(with H. Oh).
Proc. of the AMS, 146 (2018), 14691479

Closed geodesics and holonomies for Kleinian manifolds.
pdf,
(with G. Margulis and H. Oh).
Geom. and Func. Anal., 24 (2014), no. 3, 16081636.

Classification of joinings for Kleinian groups.
pdf,
(with H. Oh).
Duke Math. J., 165 (2016), no. 11, 21552223.

Isolation, equidistribution, and orbit closures for the SL(2, R) action on Moduli space.
pdf,
(with A. Eskin and M. Mirzakhani).
Ann. of Math., 182 (2015), no. 2, 673721.

Matrix coefficients, counting and primes for orbits of geometrically finite groups.
pdf,
(with H. Oh).
Journal of European Math. Society, 17 (2015), 837897.

On ergodic properties of the BurgerRoblin measure.
pdf,
In "Thin groups and superstrong approximation", edited by E. Breuillard and H. Oh, Math. Sci. Res. Inst. Publ. 61, Cambridge Univ. Press. Cambridge 2014.

Ergodicity of unipotent flows and Kleinian groups.
pdf,
(with H. Oh).
Journal of the AMS, 28 (2015), 531577

Logarithm laws for one parameter unipotent flows.
pdf,
(with D. Kelmer).
Geom. and Func. Anal., 22 (2012), no. 3, 756784.

On presentations of integer polynomial points of simple groups over number fields.
pdf,
(with K. Wortman).
Geometriae Dedicata, 164 (2013), 131137.

A special case of effective equidistribution with explicit constants.
pdf,
Ergodic Theory Dynam. Systems, 32 (2012), no. 1, 237247.

Measures invariant under horospherical subgroups in positive characteristic.
pdf,
J. Mod. Dynamics, 5 (2011), no. 2, 237254.

The extremal symmetry of arithmetic simplicial complexes.
pdf,
(with B. Farb).
Advances in Math., 231 (2012), no. 2, 843854

Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms.
pdf,
(with G. A. Margulis).
Duke Math. J., 158 (2011), no. 1, 121160.

A joining classification and special case of Raghunathan's conjecture in positive characteristic.
pdf,
(with M. Einsideler, with an appendix by K. Wortman).
J. D'Analyse Math., 116 (2012), 299334

Discrete transitive actions on vertices of BruhatTits buildings.
pdf,
(with A. Salehi Golsefidy).
Duke Math. J., 161 (2012), no. 1, 483544.

Translates of horospheres and counting problems.
pdf,
(with A. Salehi Golsefidy).
American J. Math., 136 (2014), no. 5, 13011346.

Unipotent flows and isotropic quadratic forms in positive characteristic.
pdf.
Int. Math. Res. Notices, (2011), no. 20, 45354554

Simultaneous Diophantine approximation on nondegenerate padic manifolds.
pdf
(with A. Salehi Golsefidy).
Israel J. Math., 188 (2012), 231258

SArithmetic Khintchine type theorem.
pdf
(with A. Salehi Golsefidy).
Geom. and Func. Anal., 19 (2009), no. 4, 11471170.

SL(n, Z[t]) is not FP_{n1}.
pdf
(with K. U. Bux and K.Wortman).
Comm. Math. Helv., 85 (2010), no. 1, 151164.
Seminars
Curriculum Vitae
 Click here to see a more or less up to date vitae.
Research supported in parts by the NSF and Alfred P. Sloan research fellowship.
Amir Mohammadi (
ammohammadi@ucsd.edu)