About

I am a Post-Doctoral Research Fellow at All Souls College and an affiliate researcher at the Mathematical Institute, University of Oxford. I recently completed my DPhil (PhD) in Mathematics at Oxford working in combinatorics. My thesis, on Graph Reconstruction and Structure, was supervised by Alex Scott. Previously, I was an undergraduate at the Australian National University, where my Honours thesis in graph theory was supervised by Brendan McKay. While syncing academic years between hemispheres, I enjoyed support from Catherine Greenhill.

Research

Papers

Boundary rigidity of 3D CAT(0) cube complexes, arXiv:2309.04385, submitted (with John Haslegrave, Alex Scott and Youri Tamitegama)

Product structure of graph classes with bounded treewidth, arXiv:2206.02395, submitted (with Rutger Campbell, Katie Clinch, Marc Distel, J. Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Freddie Illingworth, Youri Tamitegama and David R. Wood)

On comparable box dimension, Proc. 38th International Symposium on Computational Geometry (SoCG) 2022, 38:1-38:14. DOI:10.4230/LIPIcs.SoCG.2022.38 (with Zdenek Dvorák, Daniel Goncalves, Abhiruk Lahiri and Torsten Ueckerdt)

Induced subgraphs of induced subgraphs of large chromatic number, arXiv:2203.03612, submitted (with António Girão, Freddie Illingworth, Emil Powierski, Michael Savery, Alex Scott and Youri Tamitegama)

Decomposing random permutations into order-isomorphic subpermutations, arXiv:2202.10789, submitted (with Carla Groenland, Tom Johnston, Dániel Korándi, Alexander Roberts and Alex Scott)

Counting partitions of G(n,1/2) with degree congruence conditions, arXiv:2105.12612, to appear in Random Structures and Algorithms (with Paul Balister, Emil Powierski and Alex Scott)

Reconstructing trees from small cards, arXiv:2103.13359, submitted (with Carla Groenland, Tom Johnston and Alex Scott)

Reconstructing the degree sequence of a sparse graph from a partial deck, arXiv:2102.08679, to appear in J. Combin. Theory Ser. B (with Carla Groenland, Tom Johnston, Andrey Kupavskii, Kitty Meeks and Alex Scott)

Graph pseudometrics from a topological point of view, Research in Computational Topology 2, Springer (2022). DOI:10.1007/978-3-030-95519-9_5 (with Ana Garcia-Pulido, Kathryn Hess, Kate Turner, Bei Wang and Naya Yerolemou)

A note on infinite antichain density, arXiv:2102.00246, SIAM Journal on Discrete Mathematics 36 (2022) (with Paul Balister, Emil Powierski and Alex Scott)

Eulerian circuits and path decompositions in quartic planar graphs, arXiv:1910.02819, submitted.

Small 4-regular planar graphs that are not circle representable, Australas. J. Combin., 76 (2020), 428-435. (pdf)

Talks

Teaching

I am tutoring C8.3 Combinatorics in Michaelmas 2022. Here is the course website.

Notes and projects