36 citations · 106 across the 26 of their papers we have counts for
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math.GT2019
Effective counting of simple closed geodesics on hyperbolic surfaces
Alex Eskin, Maryam Mirzakhani, Amir Mohammadi
We prove a quantitative estimate, with a power saving error term, for the number of simple closed geodesics of length at most on a compact surface equipped with a Riemannian me…
math.GT2019★ 6 cited
Arithmeticity of hyperbolic 3-manifolds containing infinitely many totally geodesic surfaces
Gregory Margulis, Amir Mohammadi
We prove that if a closed hyperbolic 3-manifold M contains infinitely many totally geodesic surfaces, then M is arithmetic.