18 citations · 22 across the 7 of their papers we have counts for
8 papers
On Rationality of Cubic and Quartic Number Fields
Hang Li, Derong Qiu
In this paper, a new criterion is given to determine the rationality of some complex cubic number fields in terms of divisibility of certain terms of a third-order recurre…
Explicit Result on Equivalence of Rational Quadratic Forms Avoiding Primes
Wai Kiu Chan, Haochen Gao, Han Li
Given a pair of regular quadratic forms over which are in the same genus and a finite set of primes , we show that there is an effective way to determine a rational…
On effective equidistribution for quotients of SL(d)
Menny Aka, Manfred Einsiedler, Han Li +1
We prove the first case of polynomially effective equidistribution of closed orbits of semisimple groups with nontrivial centralizer. The proof relies on uniform spectral gap, buil…
Effective equidistribution of translates of maximal horospherical measures in the space of lattices
Kathryn Dabbs, Michael Kelly, Han Li
Recently Mohammadi and Salehi-Golsefidy gave necessary and sufficient conditions under which certain translates of homogeneous measures converge, and they determined the limiting m…
Small generators of cocompact arithmetic Fuchsian groups
Michelle Chu, Han Li
In the study of Fuchsian groups, it is a nontrivial problem to determine a set of generators. Using a dynamical approach we construct for any cocompact arithmetic Fuchsian group a…
Spectral gap actions and invariant states
Han Li, Chi-Keung Ng
We define spectral gap actions of discrete groups on von Neumann algebras and study their relations with invariant states. We will show that a finitely generated ICC group is i…