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, and A. Wu, Von Neumann orbit equivalence, (2024), submitted, arXiv:2409.15535

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). 

NSF/CBMS Regional Conference in the Mathematical Sciences: Classifying amenable operator algebras, Texas Christian University, June 2025

Canadian Operator Algebras Symposium, University of Waterloo, Canada, May 2025

AMS: Spring Central Sectional Meeting, University of Kansas, Lawrence, March 2025

Analysis Seminar, Michigan State University, March 2025

Operator Algebras Seminar, Purdue University, March 2025

Functional Analysis Seminar at University of California, San Diego, January 2025

Operator Algebras Seminar at University of Nebraska--Lincoln, September 2024

Great Plains Operator Theory Symposium at University of Nebraska--Lincoln, June 2024

Operator Theory Seminar at University of Virginia, September 2023

Geometry Seminar at University of California Riverside, May 2022

Joint Mathematics Meeting (virtual), AMS Special Session on Advances in Operator Algebras, April 2022

Operator Theory Seminar at The University of Iowa (online), September 2021.

Subfactor Seminar at Vanderbilt University, September 2021.

YMC*A-2021 at WWU Munster and on Zoom, August 2021.

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

Operator Theory Seminar at The University of Iowa (online), April 2021.

Wabash Modern Analysis Seminar at Wabash College, November 2019.

AMS: Fall Western Sectional Meeting at University of California Riverside, November 2019.