Research

The broad area of my research is Geometric Group Theory, Measured Group Theory.

In particular I am interested in various approximation properties of a group (eg,: amenability, Haagerup property, weak amenability etc). I am also interrested in studying property T for groups. The other directions that I am interested in (but not limited to) are Probability and analysis on groups, random walks on groups, von neumann algebras associated to groups and various actions of groups.

Publications:

1.  Stability of the Haagerup property under graph products , Archiv Der Mathematik, 121(3), 2023, 257-265 (with Shubhabrata Das).

2.  Stability of the Weak Haagerup Property under Graph Products (with Shubhabrata Das)  (accepted in Journal of Topology and Analysis).

3. Amenable actions of groups with weak hyperbolicity properties. (under preparation) (with Shubhabrata Das).

Research Talks: 

1. Delivered an invited talk at the international conference 'World of Group Craft III' on the topic 'Haagerup Property is Stable Under Free Product' (here).