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math.GT2026
On the length sets of closed hyperbolic surfaces
Yanlong Hao
For every closed surface of genus , we prove that there exists a countable union of positive-codimension algebraic subsets of Teichmüller space such that, for every h…
math.GR2026
Groups Generated by Root Unipotents: Higher-rank and rank-one
Yanlong Hao
For , let \[ Γ(Q)=\langle E_{ij}(q_{ij}):i\neq j\rangle \] be the subgroup of generated by elementary matrices with nonzero rational param…