Operator Algebras, deformation/rigidity theory, classification of finite von Neumann algebras.

Measure/Orbit equivalence (rigidity) theory.

Ergodic theory, dynamics of group actions on measure spaces, group approximation properties.

I.Ishan: On von Neumann equivalence and group approximation properties. Groups Geom. Dyn. 18 (2024), no. 2, pp. 737–747 

I.Ishan, J. Peterson, L. Ruth: Von Neumann equivalence and properly proximal groups, Adv.Math., 438, Article 109481, (2024). 

Talk in Operator Theory Seminar at University of Iowa (online), Sep 28, 2021.

Talk in Subfactor Seminar at Vanderbilt University, Sep 10, 2021.

Talk at YMC*A-2021 at WWU Munster and on Zoom, Aug 05, 2021.

Talk at Summer School in Operator Algebras hosted by the Fields Institute and the University of Ottawa (online), June 14, 2021.

Talk in Operator Theory Seminar at University of Iowa (online), Apr 06, 2021.

Talk in Wabash Modern Analysis Seminar at Wabash College, Nov 23, 2019.

Talk in AMS: Fall Western Sectional Meeting at UC Riverside, Nov 10, 2019.