Research Activities

2025
  • Loop groups and Kac-Moody groups, summer school
    Willebadessen, Germany
    website
  • Buildings 2025, conference
    Université catholique de Louvain, Louvain-la-Neuve, Belgium
    Presentation: The scale of (P)-closed groups acting on trees
    website | notes
  • Postgraduate Group Theory Conference, conference
    University of Bristol, England
    website
  • Groups in the Midlands, workshop
    University of Lincoln, England
    Mini-course: Introduction to groups acting on trees
    website | notes
2024
  • Zero-dimensional symmetry in honour of George Willis, conference
    Tocal Agricultural College, Australia
    website
  • Research visit, research visit (1 week)
    Universität Münster, Germany: Katrin Tent
  • Research visit, research visit (1 week)
    University of Iceland, Reykjavik, Iceland: Rögnvaldur Möller
  • Computational Aspects of Thin Groups, conference
    Institute for Mathematical Sciences (IMS), Singapore
    Presentation: Recent developments in groups acting on trees
    website | slides | notes
  • Groups and Combinatorics Seminar, seminar
    University of Western Australia, Perth, Australia
    Presentation: Discete (P)-closed groups acting on trees
    website | slides | poster | poster
  • Symmetries of Discrete Objects 2024, conference
    University of Auckland, New Zealand
    Presentation: Discrete (P)-closed groups acting on trees
    website | slides | notes
  • Research visit, research visit (3 weeks)
    University of Auckland, New Zealand: Florian Lehner, Jeroen Schillewaert
2023
  • Totally disconnected locally compact groups: local to global, conference
    Universität Münster, Germany
    Presentation: A characterisation of discrete (P)-closed groups acting on trees
    website | notes
  • Focus Programme, program (2 months)
    Universität Münster, Germany
    website
2022
  • Meeting of the Australian Mathematical Society, conference
    University of New South Wales, Sydney, Australia
    Presentation: Compatibility cocycles of finite permutation groups
    website | slides
  • Computational Aspects of T.D.L.C. Groups, conference
    The University of Newcastle, Australia
    Presentation: Two GAP packages for groups acting on trees
    website
  • Strukturtheorie-Seminar, seminar
    TU Graz, Austria
    Presentation: Groups acting on trees from finite permutation groups
    website | notes
  • Research visit, research visit (1 week)
    TU Graz, Austria: Florian Lehner
  • Marc Burger's Prime, conference
    ETH Zurich, Switzerland
    website
2021
  • Meeting of the Australian Mathematical Society, conference
    The University of Newcastle, Australia (online)
    website
  • Groups and Geometries, workshop
    MATRIX, Creswick, Australia (online)
    Presentation: A permutation group problem relating to groups acting on trees
    website | slides
  • World of GroupCraft: Geometric Group Theory Online, conference
    Worldwide (online)
    website
  • Totally Disconnected Locally Compact Groups via Group Actions, conference
    Banff International Research Station, Banff, Canada (online)
    Presentation: A GAP package for self-replicating groups
    website | slides | youtube
  • Groups and Combinatorics Seminar, seminar
    University of Western Australia, Perth, Australia
    Presenation: Groups acting on trees from finite combinatorial data
    website | slides | youtube
  • Research visit, research visit (2 weeks)
    University of Western Australia, Perth, Australia: Michael Giudici
  • Pure Math Seminar, seminar
    University of New South Wales, Sydney, Australia (online)
    Presentation: Groups acting on trees: constructions, computations and classifications
    website | slides
  • Australian Algebra Conference, conference
    University of Melbourne, Australia (online)
2020
  • Annual Meeting of the Australian Mathematical Society, conference
    University of New England, Australia (online)
    Presentation: Think globally, act locally
    website | slides | notes | youtube
2019
  • Séminaires liés à la théorie des groupes, seminar
    UC Louvain, Belgium
    Presentation: On the k-closures of locally transitive groups acting on trees
    website | notes
  • Research visit, research visit (1 week)
    UC Louvain, Belgium
  • CARMA Seminar, seminar
    The University of Newcastle, Australia
    Presentation: Think globally, act locally
    website | slides | notes
  • KAFKA Seminar, seminar
    Charles University, Prague, Czech Republic
    Presentation: Groups acting on trees with prescribed local action
    website | notes
  • Geometric and Asymptotic Group Theory with Applications (GAGTA) 2019, conference
    Ben Gurion University, Tel Aviv, Israel
    Presentation: One question to ask yourself about everything you do
    website | slides
  • Groups, spaces and geometries in honour of Alessandra Iozzi, conference
    ETH Zurich, Switzerland
    website
2018
  • Annual Meeting of the Australian Mathematical Society, conference
    University of Adelaide, Australia
    Presentation: Totally disconnected, locally compact groups from field extensions
    website | notes
  • Effective Visualisation in the Mathematical Sciences, conference
    The University of Newcastle, Australia
    website
  • Diagrammatic Reasoning in Higher Education, conference
    The University of Newcastle, Australia
    website
  • Zerodimensional Symmetry Seminar, seminar
    The University of Newcastle, Australia
    Presentation: Totally disconnected, locally compact groups from transcendental field extensions
    website | notes
  • Research visit, research visit (1 week)
    ETH Zurich, Switzerland: Dominik Gruber
  • Trees, dynamics and locally compact groups, workshop
    Universität Düsseldorf, Germany
    Presentation: Groups acting on trees with non-trivial quasi-center
    website | notes
2017
  • Interactions between Semigroups and Operator Algebras, workshop
    The University of Newcastle, Australia
    website
  • Non-Positive Curvature Group Actions and Cohomology, conference
    Isaac Newton Institute, Cambridge, England
    website
  • Group Actions Seminar, seminar
    The University of Sydney, Australia
    Presentation: p-localization of Burger–Mozes universal groups
    website | notes
2016
  • Permutation Groups, conference
    Banff International Research Station, Canada
    website
  • Winter of Disconnectedness, workshop
    The University of Newcastle, Australia
    Presentation: Groups acting on trees with prescribed local action
    website | notes
  • Winter of Disconnectedness, workshop
    MATRIX, Creswick, Australia
    Presentation: Groups acting on trees with prescribed local action
    website | notes
2015
  • Manifolds and Groups, workshop
    Ventotene, Italy
    website
  • Focus on Group Theory Day, one-day meeting
    The University of Newcastle, Australia
    Presentation: On a generalization of Burger–Mozes universal groups
    website | notes
2014
  • Annual Meeting of the Australian Mathematical Society, conference
    The University of Melbourne, Australia
  • Totally Disconnected Groups, Arbeitsgemeinschaft
    Mathematisches Forschungsinstitut, Oberwolfach, Germany
    Presentation: (with A. Garrido) Automorphism groups of trees: prescribed local actions
    website | long abstract | book | chapter | arxiv
  • Superrigidity, Arbeitsgemeinschaft
    Mathematisches Forschungsinstitut, Oberwolfach, Germany
    Presentation: Property (T), Property (FH) and cohomology
    website
  • Group Structure, Group Actions and Ergodic Theory, workshop
    Fields Institute, Toronto, Canada
    website
2013
  • Geometric and Analytic Group Theory, workshop
    Ventotene, Italy
    website