Preprints

• First-order model checking on monadically stable graph classes. [arXiv]
  With Jan Dreier, Ioannis Eleftheriadis, Nikolas Mählmann, Michał Pilipczuk, and Szymon Toruńczyk.
• Sparse universal graphs for sparse graph families. [arXiv]
  With Noga Alon, Natalie Dodson, Carmen Jackson, and Lani Southern.
• Prime and polynomial distances in colourings of the plane. [arXiv]
  With James Davies and Michał Pilipczuk.
• Decomposing a signed graph into rooted circuits. [arXiv]
  
• Induced C_4-free subgraphs with high average degree. [arXiv]
  With Xiying Du, António Girão, Zach Hunter, and Alex Scott.
• On tree decompositions whose trees are minors. [arXiv]
  With Pablo Blanco, Linda Cook, Meike Hatzel, Claire Hilaire, and Freddie Illingworth.

To appear

• Sparse induced subgraphs in P_6-free graphs. [arXiv]
  To appear at SODA 2024. With Maria Chudnovsky, Marcin Pilipczuk, Michał Pilipczuk, and Paweł Rzążewski.

Published

• Grounded L-graphs are polynomially Chi-bounded. [journal, arXiv]
  With James Davies, Tomasz Krawczyk, and Bartosz Walczak.
• Geometric graphs with unbounded flip-width. [conference, arXiv]
  CCCG, 2023. With David Eppstein.
• Flipper games for monadically stable graph classes. [conference, arXiv]
  ICALP, 2023. With Jakub Gajarský, Nikolas Mählmann, Pierre Ohlmann, Michał Pilipczuk, Wojciech Przybyszewski, Sebastian Siebertz, Marek Sokołowski, and Szymon Toruńczyk.
• Colouring polygon visibility graphs and their generalizations. [journal, conference, arXiv]
  SoCG, 2021 and JCTB, 2023. With James Davies, Tomasz Krawczyk, and Bartosz Walczak.
• Dense induced subgraphs of dense bipartite graphs. [journal, arXiv]
  SIDMA, 2021.
• Obstructions for bounded shrub-depth and rank-depth. [journal, arXiv]
  JCTB, 2021. With O-joung Kwon, Sang-il Oum, and Paul Wollan.
• Sublinear separators in intersection graphs of convex shapes. [journal, arXiv]
  SIDMA, 2021. With Zdeněk Dvořák and Sergey Norin.
• Circle graphs are quadratically Chi-bounded. [journal, arXiv]
  Bull. LMS, 2020. With James Davies.
• The grid theorem for vertex-minors. [journal, arXiv]
  JCTB, 2020. With Jim Geelen, O-joung Kwon, and Paul Wollan.
• 7-Connected Graphs are 4-Ordered. [journal, arXiv]
  JCTB, 2020. With Yan Wang and Xingxing Yu.
• The extremal function for bipartite linklessly embeddable graphs. [journal, arXiv]
  Combinatorica, 2019. With Robin Thomas.
• The extremal function and Colin de Verdière graph parameter. [journal]
  The Electronic Journal of Combinatorics, 2018.

Thesis

• Local structure for vertex-minors. [click here]