My research lies broadly in the area of Geometric Group Theory. So far, my research has focused on hyperbolic and relatively hyperbolic groups, Cannon--Thurston maps, and combination theorems. More recently, I have been exploring the hyperbolicity of free group extension. I am also interested in groups acting on CAT(0) spaces, conformal dimension of boundaries of hyperbolic groups, and related areas.Â
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Publications
Preprints:
With Pranab Sardar; Embeddings of trees of hyperbolic spaces and Cannon--Thurston maps arXiv (2025)
Rakesh Halder; Surjectivity of the Cannon-Thurston map in metric (graph) bundles arXiv (2025) (Submitted)
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) J. Ramanujan Math. Soc. 40 (2025), no. 3, 269-331
Thesis; Hyperbolicity and Cannon-Thurston maps for Complexes of spaces (2024)
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