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math.GT2025
Simultaneous Uniformization and Algebraic Correspondences
Mahan Mj, Sabyasachi Mukherjee
We prove a generalization of Bers' simultaneous uniformization theorem in the world of algebraic correspondences. More precisely, we construct algebraic correspondences that simult…
math.GT2025
Landing rays and ray Cannon-Thurston maps
Rakesh Halder, Mahan Mj, Pranab Sardar
In this paper, we describe a procedure to construct pairs of hyperbolic groups with the following properties. 1) Every geodesic ray in converges to a point $ξ_γ\in…
math.GT2024
Tight contact structures on hyperbolic homology 3-spheres
Mahan Mj, Balarka Sen
We produce a large class of hyperbolic homology 3-spheres admitting arbitrarily many distinct tight contact structures. We also produce a sub-class admitting arbitrarily many disti…