Research
I am a research assistant and doctoral candidate at TU Bergakademie Freiberg, Sachsen. A link to my group's webpage can be found here. I am in the structural combinatorics team headed by Prof. Johannes Carmesin.
Current research interests
Topological combinatorics. This includes planar graph theory as well as embeddability-theory of higher-dimensional analogues.
Connectivity theory and decomposing graph-like structures. Finding and using canonical ways to break down combinatorial objects.
Matroids arising from graphs. This includes theory of graphic matroids as well as some surrounding theory.
I often combine the above with complexity theory and sometimes category theory.
Ongoing collaborations
I am working with Prof. Johannes Carmesin on generalising planar graph theory to certain sequences of graphs.
I am working with Dr Benjamin Merlin Bumpus to lift results from graph theory to more general categorical settings.
Papers
| Pushing tree decompositions along graph homomorphisms | Benjamin Merlin Bumpus, James Fairbanks, Will J. Turner |
| preprint August 2024 | arxiv |
| Towards a Stallings-type theorem for finite groups | Johannes Carmesin, Jan Kurkofka, George Kontogeorgiou, Will J. Turner |
| preprint March 2024 | arxiv |
Selected talks
Matroid reconstruction: part 2
Research Seminar DMA - TU Freiberg
6th November 2024
Matroid reconstruction: part 1
Research Seminar DMA - TU Freiberg
30th October 2024
Towards a Stallings-type theorem for finite groups: part 2
Research Seminar DMA - TU Freiberg
3rd July 2024
Towards a Stallings-type theorem for finite groups: part 1
Research Seminar DMA - TU Freiberg
22nd May 2024
Towards a Stallings-type theorem for finite groups: part 1
Combinatorics Seminar - University of Warwick
23nd February 2024
Forbidden Spiders: a forbidden substructure characterisation of temporal planarity
Combinatorics Seminar - University of Birmingham
12th Oct 2023
Local separators of Cayley graphs
QTMC Conference - Queen Mary University London
07th July 2023
What on earth is a matroid: A journey through topological graph theory to Rota’s conjecture
Pure Détour - University of Birmingham
21st April 2023
Local separators of Cayley graphs
Postgraduate Combinatorics Conference - University of Birmingham
29th March 2023
