Research Interest

My research interest lies in homogeneous dynamics and their interactions with number theory and geometry. You can find my research papers below.

Publications & Preprints

on Realization of isometries for higher rank quadratic lattices over number fields (with W. K. Chan) Transactions of the american mathematical society, 375 (2022), 4619-4640.

Explicit result on equivalence of rational quadratic forms avoiding primes (with W. K. Chan and H. Gao) Journal of Number Theory, 225 (2021), 281-293.

On Effective Equidistribution for Quotients of SL(d, R) (with M. Aka, M. Einsiedler and A. Mohammadi) Israel Journal of Mathematics, 327 (2018), 365-391.

New bounds in reduction theory of indefinite ternary integral quadratic forms (with Gregory A. Margulis) Advances in Mathematics, 327 (2018), 410-424.

Effective estimates On integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory (with Gregory A. Margulis) Geometric and Functional Analysis, 26 (2016), no.3, 874-908.

Small Generators Of Cocompact Arithmetic Fuchsian Groups (With Michelle Chu) Proceedings of the AMS, 144 (2016), no.12, 5121-5127.

Effective equidistribution of translates of maximal horospherical measures in the space of lattices (With kathryn dabbs and michael kelly) Journal of Modern Dynamics,10 (2016), 229-254.

Effective Limit distribution of the frobenius numbers Compositio Mathematica,151 (2015), no.5, 898-916.

Spectral gap actions and invariant states (with chi-keung ng) international mathematics research notices, (2014), no.18, 4917-4931.