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math.GT2026
Systolic pants decompositions with polynomial growth
Tarik Aougab, Jonah Gaster, Nicholas Miller
We investigate improved bounds on the kissing number of a hyperbolic surface under the assumption that the systole set contains pants decompositions with volume growth constraints.…
math.GT2026
Finiteness of closed arithmetic hyperbolic surface bundles
Tam Cheetham-West, Homin Lee, Nicholas Miller
For each , we show that there are finitely many cyclic commensurability classes of closed, fibered arithmetic hyperbolic -manifolds with genus fiber. More generally,…