Research

I am interested in Banach algebras, their K-theory, and connections with coarse geometry, groups, semigroups, and dynamics.

Publications and preprints

  • Property A and coarse embeddability for fuzzy metric spaces. Preprint. [arXiv]

  • (with Piotr W. Nowak) Expanders are counterexamples to the lp coarse Baum-Connes conjecture. Preprint. [arXiv (updated version in preparation)]

  • (with Bruno M. Braga and Kang Li) Coarse Baum-Connes conjecture and rigidity for Roe algebras. Journal of Functional Analysis, 279(9):108728, 2020. [arXiv | journal]

  • (with Kang Li) Structure and K-theory of lp uniform Roe algebras. To appear in Journal of Noncommutative Geometry. [arXiv]

  • Dynamical complexity and K-theory of Lp operator crossed products. To appear in Journal of Topology and Analysis. [arXiv | journal]

  • (with Kang Li) Rigidity of lp Roe-type algebras. Bulletin of the London Mathematical Society, 50(6):1056-1070, 2018. [arXiv | journal]

  • Quantitative K-theory for Banach algebras. Journal of Functional Analysis, 274(1):278-340, 2018. [arXiv | journal]

Upcoming events I may be interested in