Publication and preprint
Publications & preprints
(with Samantha Fairchild) Mean value theorems for the S-arithmetic primitive Siegel transforms (preprint, arXiv:2310.03459)
A quantitative Khintchine-Groshev theorem for S-arithmetic Diophantine approximation, Indagationes Mathematicae, 34, November 2023, 1355-1372 (arXiv)
(with Seonhee Lim and Keivan Mallahi-Karai) Asymptotic distribution for pairs of linear and quadratic forms at integral vectors (preprint, arXiv:2111.06139)
(with Mahbub Alam and Anish Ghosh) Higher moment formulae and limiting distributions of lattice points (preprint, arXiv:2111.000848)
(with Anish Ghosh) Values of inhomogeneous forms at S-integral points, Mathematika 68 (2022), no. 2, 565-593 (arXiv)
Rogers' mean value theorem for S-arithmetic Siegel transform and applications to the geometry of numbers (preprint, arXiv: 1910.01824)
(with Prasuna Bandi and Anish Ghosh) A generic effective Oppenheim conjecture for systems of forms, J. Number Theory 218 (2021), 311-333. (arXiv)
Quantitative Oppenheim conjecture for S-arithmetic quadratic forms of rank 3 and 4, Discrete Contin. Dyn. Syst., Volume 31, Number 5, May 2021, 2205-2225. (arXiv)
(with Seonhee Lim and Keivan Mallahi-Karai) Asymptotic distribution of values of isotropic quadratic forms at S-integral points, J. Modern Dynamics, Volume 11 (2017), 510-550. (arXiv)
Applications of Homogenous Dynamics to Quadratic Forms, Ph. D. Thesis at Seoul National University (2016)
(with Hyunsuk Kang, Yong-Cheol Kim, and Seonhee Lim) Distribution of integral lattice points in an ellipsoid with a diophantine center, J. Number Theory 157 (December 2015), 468-506.