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Kevin Li

I am a Postdoc working with Prof. Clara Löh at the University of Regensburg, Germany.
Prior, I completed my PhD with Dr. Nansen Petrosyan and Prof. Ian J. Leary at the University of Southampton, UK.

Email: kevin (dot) li @mathematik.uni-regensburg.de

Online seminar

In the winter term 2022, I am co-organising an international online seminar on bounded cohomology and simplicial volume. Please write to us if you would like to attend.

Research interests

I work in the areas of algebraic topology and geometric group theory.
Specifically, I am interested in the following topics:

  • Classifying spaces for families of subgroups
  • Bredon cohomology of groups
  • Bounded cohomology
  • Farber’s topological complexity
Papers
  1. Amenable covers of right-angled Artin groups
    To appear in Bull. Lond. Math. Soc., arxiv, 2022.
  2. Bounded acyclicity and relative simplicial volume (with Clara Löh and Marco Moraschini)
    Preprint, arxiv, 2022.
  3. Higher topological complexity of hyperbolic groups (with Sam Hughes)
    J. Appl. Comput. Topol., 6(3):323–329, journal, arxiv, 2022.
  4. Bounded cohomology of classifying spaces for families of subgroups
    To appear in Algebr. Geom. Topol., arxiv, 2021.
  5. On the topological complexity of toral relatively hyperbolic groups
    Proc. Amer. Math. Soc., 150(3):967–974, journal, arxiv, 2022.
  6. K- and L-theory of graph products of groups (with Daniel Kasprowski and Wolfgang Lück)
    Groups Geom. Dyn., 15(1):269–311, journal, arxiv, 2021.