Research

My research interests are motivated by the study of manifolds (i.e., surfaces and their higher-dimensional analogues). For this, I use a blend of techniques from mathematical fields such as low-dimensional topology and combinatorics, tools from computer science, such as parameterised complexity theory, as well as practical skills from algorithm design and the development of mathematical software.

Here are the slides of two versions of one talk highlighting algorithmic and topological aspects of my work.

Table of contents for this page

My ORCID profile

https://orcid.org/0000-0001-6865-9483

See this page for a complete list of all of my published works.

Selected talks

width.pdf

Oct 2019: Talk at the Pure Maths Seminar, The University of Queensland, Brisbane, Australia.

Title: Linking topology and combinatorics: Width-type parameters of 3-manifold

algo.pdf

May 2019: Talk at Sydney Algorithms Group Seminar, The University of Sydney, Australia.

Title: Discrete Algorithms for Geometric Topology

accmcc.pdf

Dec 2015: Talk at the 39th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, Brisbane, Australia.

Title: Separation index of graphs and stacked 2-sphere

tvinv.pdf

Oct 2015: Talk at Institute for Science and Technology, Klosterneuburg, Austria.

Title: Algorithms and complexity for Turaev-Viro invariants

coll.pdf

Oct 2015: Presentation at Mathematical Research Institute Oberwolfach, see extended abstract above.

Title: Random collapsibility and 3-sphere recognition

param.pdf

Jun 2015: Talk at Freie Universität Berlin, Germany.

Title: Parameterised complexity theory for topological problems

geomtop.pdf

Feb 2015: Talk at University of Ulm, Germany.

Title: Geometrie und Topologie im Computeralgebrasystem GAP

tight.pdf

Dec 2014: Talk at the University of Melbourne

Title: Tightness for triangulations

bounds.pdf

Apr 2014: Talk at the Computational and Algorithmic Topology workshop (CATS), Sydney, Australia.

Title: Bounds for the genus of a normal surface

Selected Workshops and Conferences

Computational & Algorithmic Topology, Sydney (CATS 2020) (19 July - 23 July 2021)

This workshop at The University of Sydney will bring together experts and emerging researchers from Australia, the USA and Europe to report on recent results and explore future directions in computational and algorithmic topology and related areas. There will be a focus on problems in computational geometric topology and computational algebraic topology. This workshop aims to stimulate interaction between researchers in order to bring about new collaborations on difficult problems that cannot be tackled from one viewpoint alone.

Organisers:

Einstein Workshop Geometric and Topological Combinatorics (29-31 October 2018)

This will be a three day workshop on Geometric and Topological Combinatorics, with lectures in the morning and time for discussions and networking in the afternoons. It is primarily funded by the Einstein Foundation Berlin, as part of Francisco Santos' Einstein Visiting Fellowship within the Discrete Geometry Group at FU Berlin for 2016-2019. Additional funding is provided by the project Discretization in Geometry and Dynamics (SFB Transregio 109) and the Berlin Mathematical School.

Organisers:


Einstein Workshop Discrete Geometry and Topology (13-16 March 2018)

This will be a four day workshop with lectures, presentations and informal discussions on discrete geometry and topology, and related topics (combinatorial topology, computational geometry, polytope theory). It is primarily funded by the Einstein Foundation Berlin, as part of Francisco Santos' Einstein Visiting Fellowship at FU Berlin for 2016-2019. Additional funding is provided by the project Discretization in Geometry and Dynamics (SFB Transregio 109) and the Berlin Mathematical School.

Organisers: