Shengyuan Zhao

collaborators

3 papers

math.DS2026

Equidistribution of currents under Anosov group actions

Nguyen-Bac Dang, Michael Kapovich, Mikhail Lyubich +1

We study the behavior of currents on flag-manifolds under actions of Anosov subgroups of complex semisimple Lie groups G. Given a current T of bidimension (k, k) on the full flag-m…

math.DS2026

On cube and Cremona rigidity for higher-rank lattices

Shengyuan Zhao

For irreducible lattices in semisimple Lie groups of real rank at least $2$ , we prove a cohomological vanishing result implying that any action on a CAT(0) cube complex fixes a ver…

math.NT2026

Decay of weighted cusp counts for congruence subgroups of $S L_{2}$ over number fields

Shengyuan Zhao

For congruence subgroups commensurable with $SL_{2}$ over number fields, we study cusp counts with arithmetic multiplicities. We prove that the ratio of the total weig…

Equidistribution of currents under Anosov group actions

On cube and Cremona rigidity for higher-rank lattices

Decay of weighted cusp counts for congruence subgroups of SL2​ over number fields

Decay of weighted cusp counts for congruence subgroups of $S L_{2}$ over number fields