Papers & pre-prints

A link to an arXiv version of all my papers can be found here. My ORCid profile can be found here.

When t-intersecting hypergraphs admit bounded c-strong colourings

Submitted

With Kevin Hendrey, Nina Kamčev, and Jane Tan


Dominating Kt-models

Submitted

With David Wood


Fat minors cannot be thinned (by quasi-isometries)

Submitted

With James Davies, Robert Hickingbotham, and Rose McCarty


Non-Homotopic Drawings of Multigraphs

Submitted

With António Girão, Alex Scott, and David Wood


Abundance: Asymmetric Graph Removal Lemmas and Integer Solutions to Linear Equations

Submitted

With António Girão, Eoin Hurley, and Lukas Michel


Chromatic number is not tournament-local

Journal of Combinatorial Theory, Series B 168, 86-95, 2024

With António Girão, Kevin Hendrey, Florian Lehner, Lukas Michel, Michael Savery, and Raphael Steiner


Flashes and rainbows in tournaments

Combinatorica 44, 675-690, 2024

With António Girão, Lukas Michel, Michael Savery, and Alex Scott


The structure and density of k-product-free sets in the free semigroup

Submitted

With Lukas Michel and Alex Scott


On tree decompositions whose trees are minors

Journal of Graph Theory 106(2), 296-306, 2024

With Pablo Blanco, Linda Cook, Meike Hatzel, Claire Hilaire, and Rose McCarty


Reconstructing a point set from a random subset of its pairwise distances

Submitted

With António Girão, Lukas Michel, Emil Powierski, and Alex Scott


Notes on Aharoni's rainbow cycle conjecture

2021-2022 MATRIX Annals (eds. Wood, de Glier, Praeger), 187-202, 2024

With Katie Clinch, Jackson Goerner, and Tony Huynh


Product structure of graphs with an excluded minor

To appear in Transactions of the AMS

With Alex Scott and David Wood


Product structure of graph classes with bounded treewidth

Combinatorics, Probability, and Computing 33(3), 351-376, 2024

With Rutger Campbell, Katie Clinch, Marc Distel, Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Youri Tamitegama, Jane Tan, and David Wood


Induced subgraphs of induced subgraphs of large chromatic number

Combinatorica 44, 37-62, 2024

With António Girão, Emil Powierski, Michael Savery, Alex Scott, Youri Tamitegama, and Jane Tan


Defective colouring of hypergraphs

Random Structures and Algorithms 64, 663-675, 2024

With António Girão, Alex Scott, and David Wood


Treewidth, circle graphs, and circular drawings

SIAM Journal on Discrete Mathematics 38(1), 965-987, 2024

With Robert Hickingbotham, Bojan Mohar, and David Wood


Balancing connected colourings of graphs

Electronic Journal of Combinatorics 30(P1.54), 2023

With Emil Powierski, Alex Scott, and Youri Tamitegama


Minimum degree stability of H-free graphs

Combinatorica 43, 129-147, 2023


The chromatic profile of locally colourable graphs

Combinatorics, Probability, and Computing 31(6), 976-1009, 2022


The chromatic profile of locally bipartite graphs

Journal of Combinatorial Theory, Series B 156, 343-388, 2022


The χ-Ramsey problem for triangle-free graphs

SIAM Journal on Discrete Mathematics 36(2), 1124-1134, 2022

With Ewan Davies


Graphs with no induced K2,t

Electronic Journal of Combinatorics 28(P1.19), 2021





Other written work:


The Chromatic Structure of Dense Graphs

PhD Thesis, 2021


A note on induced Turán numbers