My research interests revolve around geometric group theory and representation theory of groups. I am mainly interested in quasi-regular representations associated to group actions on measure spaces, and the interplay between their properties, and the dynamics of the underlying action.

Articles

1. Analogs of principal series representations for Thompson’s groups F and T. Indiana Univ. Math. J., 61(2):619–626, 2012.
2. The problem of zero divisors in convolution algebras of supersolvable Lie groups. J. Lie Theory, 23(1):119–125, 2013.
3. Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms. Colloq. Math., 134(2):287–296, 2014.
4. Factoriality of Hecke–von Neumann algebras of right-angled Coxeter groups. J. Funct. Anal., 270:1202-1219, 2016.
5. Property of rapid decay for extensions of compactly generated groups. Publicacions Matemàtiques, 59(2):301–312, 2015.

Preprints

1. Boundary representations of hyperbolic groups. arXiv:1404.0903, 2014.
2. (with Nir Lazarovich) The Neretin groups. arXiv:1502.00991, 2015.
3. Mini-course: property of rapid decay. arXiv:1603.06730, 2016.