Chris Cave

Department of Mathematical Sciences
University of Copenhagen
Office 04.2.07
Universitetsparken 5
2100 Copenhagen Ø

first name . last name(at)

ORCID: 0000-0002-2886-2556

ResearcherID: I-3343-2016

Github page: chriscave

Chris Cave

I am a postdoctoral researcher at the University of Copenhagen at the Department of Mathematical Sciences and have been since September 2015. Before that I completed my PhD thesis in July 2015 at the University of Southampton under the supervision of Professor Jacek Brodzki. In my spare time I like to analyse any data I can get my hands on. You can find more on my github page.

I am a member of the Non-Commutative Geometry group and the Centre for Symmetry and Deformation.

I am also an organiser of the operator algebra seminar along with Gabor Szabo and Valerio Proietti.

In August 2017 I was part of the organising committee of Young Mathematicians in C*-algebras where we had more than 30% of all speakers were women.

In May 2016, Professor Magdalena Musat and myself organised the Masterclass: Expanders and rigidity of group actions.

Research Interests

My research is focused on appromixation properties of group C*-algebras and its interaction with geometric properties of the group (discrete or topological). I am very interested in how coarse geometry plays a significant role in this and how this can be applied to other areas such as geometric group theory. Other topics that interest me: property A, coarse embeddability into a Hilbert space, property (T), expander familes, non-exact groups, graphical small cancellation theory, totally disconnected groups, Hilbert space compression, locally compact hyperbolic groups.


  • Exactness of locally compact groups, Adv. Math. 312 (2017), 209-233. (with Jacek Brodzki and Kang Li) Published, preprint.
  • Embeddings of locally compact hyperbolic groups into Lp-spaces, Topology Appl. 214 (2016) 66-88. (with Dennis Dreesen) Published, preprint.
  • Equivariant compression of certain direct limit groups and amalgamated free products, Glasgow Math J 58 (2016), no 03, 739-752. (with Dennis Dreesen) Published, preprint.
  • Embeddability of generalised wreath products, Bull. Aust. Math. Soc. 91 (2015), no 2, 250-263. (with Dennis Dreesen) Published, preprint.

Places where you might have seen me

Invited Talks

  • Geometric group theory seminar, IMPAN, September 2016
  • Combinatorics and groups Będlewo, April 2016.
  • Coarse geometry seminar, University of Southampton, March 2016.
  • Analysis seminar, University of Glasgow, March 2015.
  • Operator algebra seminar, University of Copenhagen, January 2015.
  • Geometry and analysis on groups seminar, Universität Wien, March 2014.
  • Pure mathematics seminar, University of Southampton, November 2013.
  • Coarse geometry seminar, University of Southampton, March 2013.