I am interested in geometric group theory, low dimensional topology. In the recent years I have studied Relatively hyperbolic groups, associated boundaries, \( \mathbb{R} \)-trees, Rips machine, JSJ decompositions and similar objects at the confluence of geometry and topology.


Remark: The following paper solves a 30 year old problem in Geometric Group Theory about local connectedness of Bowditch Boundaries. I worked on the same problem in my doctoral dissertation. The paper (joint work with my doctoral adviser) further generalizes the result and uses different (and more robust) techniques.

  • Local connectedness of boundaries for relatively hyperbolic groups, (with Chris Hruska). arXiv:2204.02463