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math.GT2025
The number of ends of big mapping class groups
Josiah Oh, Yulan Qing, Xiaolei Wu
We analyze the number of ends of the mapping class group of a stable avenue surface. We prove that the mapping class group is one-ended whenever the stable avenue surface has at le…
math.GT2025
Quasi-isometric rigidity for a product of lattices
Josiah Oh
We demonstrate quasi-isometric rigidity for the product of a non-uniform rank one lattice and a nilpotent lattice. Specifically, we show that any finitely-generated group quasi-iso…