Publications and Preprints
Publications and Preprints
Effective equidistribution of translates of tori in arithmetic homogeneous spaces and applications
Preprint. 55 pages, 1 figure. arXiv.
Exponential mixing and essential spectral gaps for Anosov subgroups (with Michael Chow)
Preprint. 47 pages. arXiv.
Finitary estimates for the distribution of lattice orbits in homogeneous spaces I: Riemannian metric (with Zuo Lin)
Journal d'Analyse Mathématique. Accepted. 73 pages, 3 figures. arXiv.
Exponential mixing of frame flows for geometrically finite hyperbolic manifolds (with Jialun Li and Wenyu Pan)
Journal of the European Mathematical Society. Accepted. 62 pages, 8 figures. arXiv.
Exponential mixing of frame flows for convex cocompact locally symmetric spaces (with Michael Chow)
Preprint. 28 pages. arXiv.
Congruence counting in Schottky and continued fractions semigroups of SO(n, 1)
Journal d'Analyse Mathématique. Accepted. 41 pages, 1 figure. arXiv.
Local mixing of one-parameter diagonal flows on Anosov homogeneous spaces (with Michael Chow)
International Mathematics Research Notices, 18, 15834–15895, 2023. arXiv.
Generalization of Selberg's 3⁄16 theorem for convex cocompact thin subgroups of SO(n, 1)
Advances in Mathematics, 409:Paper No. 108610, 58, 2022. arXiv.
Exponential mixing of frame flows for convex cocompact hyperbolic manifolds (with Dale Winter)
Compositio Mathematica, 157(12):2585–2634, 2021. arXiv.
Uniform exponential mixing for congruence covers of convex cocompact hyperbolic manifolds
Not intended for publication; superseded by Generalization of Selberg's 3⁄16 theorem for convex cocompact thin subgroups of SO(n, 1). arXiv.
Bifurcating entanglement-renormalization group flows of fracton stabilizer models (by Arpit Dua, Pratyush Sarkar, Dominic J. Williamson, and Meng Cheng)
Physical Review Research, 2:033021, 2020. arXiv.