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math.GT2026
Holomorphic realizations of pairs of foliations on Riemann surfaces
Nathaniel Sagman, Dragomir Saric
Let be a hyperbolic Riemann surface and let and be laminations on homotopic to measured foliations with finite Dirichlet integral. We prove that and are fil…
math.GT2023
Non-convexity of extremal length
Nathaniel Sagman
With respect to every Riemannian metric, the Teichmüller metric, and the Thurston metric on Teichmüller space, we show that there exist measured foliations on surfaces whose extrem…