My research lies broadly in the area of Geometric Group Theory. In particular, I am interested in Combination Theorems for complexes of (relatively) hyperbolic groups, existence and nonexistence of continuous extension between the boundaries of hyperbolic subgroups and the ambient hyperbolic group (Cannon-Thurston (CT) maps), properties of (relatively) hyperbolic groups, Out(Fn).
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Publications
Preprints:
Rakesh Halder; Surjectivity of the Cannon-Thurston map in metric (graph) bundles arXiv (2025)
With Pranab Sardar; On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups arXiv (2025)
With Mahan Mj and Pranab Sardar; Landing rays and ray Cannon-Thurston maps arXiv (2025) (Submitted)
Rakesh Halder; A Combination Theorem for Trees of Metric Bundles arXiv (2022) To appear in J. Ramanujan Math. Soc.
Thesis; Hyperbolicity and Cannon-Thurston maps for Complexes of spaces (2024)
In Preparations:
With Pranab Sardar; On the existence of Cannon-Thurston maps for morphisms of trees of hyperbolic spaces
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