Operator Algebras (von Neumann algebras, C*-algebras),
Ergodic Theory (measured group theory, orbit equivalence),
Group Theory (representation theoretic and analytic aspects),
Logic (descriptive set theory, continuous model theory).

I am especially interested in classification and rigidity for von Neumann algebras and equivalence relations arising from groups and their actions on measure spaces.

My research has been supported by: NSF FRG Grant #1854074, NSF Career Grant DMS #1253402, NSF Grant DMS #1161047, a Sloan Foundation Fellowship and a Clay Research Fellowship.


Remi Boutonnet, Lewis Bowen, Ionut Chifan, Yoann Dabrowski, Daniel Drimbe, Damien Gaboriau, Daniel Hoff, Alekos S. Kechris, Yoshikata Kida, Srivatsav Kunnawalkam Elayavalli, Denis Osin, Jesse Peterson, Sorin Popa, Alireza Salehi Golsefidy, Pieter Spaas, Bin Sun, Todor Tsankov, Robin Tucker-Drob, Stefaan Vaes. Matthew Wiersma.