Publications

Book Chapters

  1. 03/25 Computational aspects of totally disconnected locally compact groups, with M. Ferov and G. Willis
    In Handbook of Visual, Experimental and Computational Mathematics - Bridges through Data, Springer.
    publisher
  2. 02/18 Automorphism groups of trees: generalities and prescribed local actions, with A. Garrido and Y. Glasner
    In New Directions in Locally Compact Groups, Cambridge University Press.
    publisher | arxiv

Software

  1. 11/21 SRGroups: Self-Replicating Groups, with S. King, C. Murtagh and S. Shotter
    GAP package and library for self-replicating groups acting on regular rooted trees.
    github | youtube
  2. 07/21 UGALY: Universal Groups Acting LocallY, with K. Hannouch
    GAP package (peer-reviewed) to create, analyse and find local actions of universal groups.
    website | github | manual | youtube

Preprints

  1. 09/24 Discrete (P)-closed groups acting on trees, with M. Chijoff
    arXiv preprint 2409.13240, 2024.
    arXiv
  2. 02/20 Locally compact groups acting on trees with Property (P), by C. Reid and S. Smith (appendix by S. Tornier)
    arXiv preprint 2002.11766, 2020.
    arXiv | youtube

Journal Articles

  1. 10/23 Groups acting on trees with prescribed local action
    Journal of the Australian Mathematical Society, Volume 115, Issue 2, pp. 240-288, 2023.
    journal | arxiv | youtube
  2. 10/20 On free products of graphs, with M. Carter and G. Willis
    Australasian Journal of Combinatorics, Volume 78, Issue 1, pp. 154-176, 2020.
    journal | arxiv
  3. 09/19 Willis theory via graphs, with T. Bywaters
    Groups, Geometry, and Dynamics, Volume 13, Issue 4, pp. 1335-1372, 2019.
    journal | arxiv
  4. 04/17 Prime localizations of Burger-Mozes-type groups
    Journal of Group Theory, Volume 21, Issue 2, pp. 229-240, 2018.
    journal | arxiv
  5. 12/16 Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups, with T. Bywaters and H. Glöckner
    Israel Journal of Mathematics, Volume 227, Issue 2, pp. 691-752, 2018.
    journal | arxiv

Expository Notes

  1. 06/25 An Introduction to groups acting on trees
    Lecture notes of a 3 x 1 hour mini-course aimed at doctoral students.
    notes
  2. 06/20 Haar measures
    arXiv preprint 2006.10956.
    arxiv
  3. 01/20 An introduction to group theory
    Lecture notes of a 4 x 2 hour mini-course aimed at first-year students.
    notes
  4. 01/17 On almost-automorphisms of trees and topological dynamics, by A. Le Boudec (notes prepared by S. Tornier)
    2016, Matrix Annals, Springer 2018.
    publisher

Theses

  1. 05/18 Groups acting on trees and contributions to Willis theory
    Doctoral thesis, ETH Zürich, doi:10.3929/ethz-b-000265512.
    repository
  2. 02/16 On a theorem of Shalom
    Master thesis, ETH Zürich, doi:10.3929/ethz-a-010590629.
    repository
  3. 10/12 On low-dimensional group cohomology
    Bachelor thesis, ETH Zürich
    thesis