Research Interests

Functional
Analysis -
Operator Algebras: structure and classification of
C*-algebras
and von Neumann Algebras, especially those coming from groups and their
actions on spaces (metric spaces, probability measure spaces);
rigidity aspects in von Neumann algebras (W*-rigidity)

Subfactor Theory: analysis of subfactors of finite Jones index, combinatorics of standard invariants, relations to Algebraic Quantum Field Theory and Conformal Field Theory.

Ergodic Theory: actions of groups by measure preserving transformations, their classification up to orbit equivalence, invariants (such as cost, L2-Betti numbers, etc), related rigidity aspects (such as orbit equivalence and cocycle superrigidity, etc).

Group Theory: L2 invariants, rigidity properties, approximation properties, aspects of geometric group theory, etc

Subfactor Theory: analysis of subfactors of finite Jones index, combinatorics of standard invariants, relations to Algebraic Quantum Field Theory and Conformal Field Theory.

Ergodic Theory: actions of groups by measure preserving transformations, their classification up to orbit equivalence, invariants (such as cost, L2-Betti numbers, etc), related rigidity aspects (such as orbit equivalence and cocycle superrigidity, etc).

Group Theory: L2 invariants, rigidity properties, approximation properties, aspects of geometric group theory, etc