Mehrdad Kalantar

I am a Professor of Mathematics in the Mathematical Institute at the University of Oxford. I completed my PhD at Carleton University in Canada in 2011 and was a faculty member at the University of Houston before joining Oxford. My research is in operator algebras, with a particular focus on their connections with group theory, representation theory and dynamics.

At Trinity, I teach the tutorials for some of the courses in pure mathematics for first years, and I teach the tutorials for Metric Spaces for second years. At departmental level, my teaching this year includes a part C course in Operator Algebras. I currently supervise two DPhil students who are working on problems related to representation theory, dynamics and operator algebras of discrete groups.

My research concerns the analytic theory of discrete groups. In particular, I study connections between the dynamical properties of a group’s continuous and measurable actions, its representation theory, and the structure of the associated operator algebras. A central aim of my work is to understand what these associated objects reveal about the underlying group.

P.-E. Caprace, M. Kalantar and N. Monod, ‘A type I conjecture and boundary representations of hyperbolic groups’, Proceedings of the London Mathematical Society 127 (2023), no. 2, 447–486.

Y. Hartman and M. Kalantar, ‘Stationary C*-dynamical systems’, Journal of the European Mathematical Society 25 (2023), 1783–1821.

M. Kalantar, P. Kasprzak, A. Skalski and R. Vergnioux, ‘Noncommutative Furstenberg boundary’, Analysis & PDE 15 (2022), 795–842.

B. Bekka and M. Kalantar, ‘Quasi-regular representations of discrete groups and associated C*-algebras’, Transactions of the American Mathematical Society 373 (2020), 2105–2133.

E. Breuillard, M. Kalantar, M. Kennedy and N. Ozawa, ‘C*-simplicity and the unique trace property for discrete groups’, Publications mathématiques de l’IHÉS 126 (2017), 35–71.

M. Kalantar and M. Kennedy, ‘Boundaries of reduced C*-algebras of discrete groups’, Journal für die reine und angewandte Mathematik 727 (2017), 247–267.