I work in the Discrete Mathematics Research Group of the School of Mathematics at Monash University in Melbourne, Australia. I am also Deputy Director of the Mathematical Research Institute MATRIX. My research interests lie in discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring, poset dimension, graph drawing, and combinatorial geometry.

#### News and Events

- MATRIX-IBS workshop Structural Graph Theory Downunder III, April 2023.
- 10th Annual Workshop on Geometry and Graphs, Bellairs Research Institute, February 2023.
- Congratulations to my PhD student Robert Hickingbotham who won the CMSA Anne Penfold Street Student Prize for best student talk at the 44th Australasian Combinatorics Conference. His talk “Product structure of graph classes with bounded treewidth” was based on work performed at the MATRIX workshop Structural Graph Theory Downunder II.
- Second 2022 Barbados Graph Theory Workshop, Bellairs Research Institute, December 2022.
- Institute 424 Workshop on Graphs and Probability, Monash University, November - December 2022.
- Revised paper Product structure of graphs with an excluded minor with Freddie Illingworth and Alex Scott, August 2022
- New paper Defective Colouring of Hypergraphs with António Girão, Freddie Illingworth and Alex Scott, July 2022
- International Colloquium on Graph Theory and Combinatorics, Montpellier, 4-8 July 2022
- Third Southwestern German Workshop on Graph Theory, Heidelburg, 27 June - 1 July 2022
- Oxford one-day meeting in Combinatorics, 1 June 2022
- MATRIX-IBS Workshop: Structural Graph Theory Downunder II, Creswick, 20-27 March 2022. This workshop produced the papers:

Product structure of graph classes with bounded treewidth with Rutger Campbell, Katie Clinch, Marc Distel, J. Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Freddie Illingworth, Youri Tamitegama, Jane Tan;

Graphs of Linear Growth have Bounded Treewidth with Rutger Campbell, Marc Distel, Pascal Gollin, Daniel Harvey, Kevin Hendrey, Robert Hickingbotham, Bojan Mohar. - 2022 Barbados Graph Theory Workshop, Bellairs Research Institute, 4-11 March 2022
- New paper Reduced bandwidth: a qualitative strengthening of twin-width in minor-closed classes (and beyond) with new collaborators Édouard Bonnet and O-joung Kwon, February 2022
- 9th Annual Workshop on Geometry and Graphs (v2), Bellairs Research Institute, 21-28 January 2022
- 43rd Australasian Combinatorics Conference, Melbourne, 13-17 December 2021
- New papers Shallow minors, graph products and beyond planar graphs and Structural properties of graph products with my student Robert Hickingbotham, November 2021
- Graph Product Structure Theory, Banff, 21-26 November 2021. Outputs:

Three-dimensional graph products with unbounded stack-number with David Eppstein, Robert Hickingbotham, Sergey Norin, Laura Merker, Michal Seweryn

Improved product structure for graphs on surfaces with Marc Distel, Robert Hickingbotham and Tony Huynh. - New Perspectives in Colouring and Structure, Banff, 17-22 October 2021
- Sparsity in Algorithms, Combinatorics and Logic, Dagstuhl, 26 September - 1 October 2021
- EUROCOMB, Barcelona, 6-10 September 2021