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. Planar graph theory and higher-dimensional analogues.
Connectivity theory and graph decomposition. Finding and using canonical ways to break down combinatorial objects.
Matroids. Matroid representability.
I often combine the above with complexity theory and sometimes category theory.
Ongoing collaborations
I am working with Prof. Johannes Carmesin developing a graph minor theory for temporal sequences.
I am working with Dr Benjamin Merlin Bumpus using a category-theory lense to prove things in combinatorics.
Papers
| A graph minors approach to temporal sequences | Johannes Carmesin, Will J. Turner |
| preprint April 2025 | arxiv |
| 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 |
Upcoming events
Bertinoro Worshop on Algorithms and Graphs
Bertinoro
October 2025
ProofBench Initiative
TU Freiberg
September 2025
Selected talks
Temporal sequences
SEG workshop Chemnitz
30th June 2025
Invited Minisymposium: Matroid Theory
CanaDAM - U Ottowa
22nd May 2025
A graph minors approach to temporal sequences
Forschungsseminare - U Hamburg
29th Apr 2025
Coloured matroid reconstruction: part 2
Research Seminar DMA - TU Freiberg
06th Nov 2024
Coloured matroid reconstruction: part 1
Research Seminar DMA - TU Freiberg
30th Oct 2024
Towards a Stallings-type theorem for finite groups: part 2
Research Seminar DMA - TU Freiberg
03rd Jul 2024
Towards a Stallings-type theorem for finite groups: part 1
Research Seminar DMA - TU Freiberg
22nd May 2024
A forbidden substructure characterisation of temporal planarity
Combinatorics Seminar - University of Warwick
23nd Feb 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 Jul 2023
What on earth is a matroid: A journey through topological graph theory to Rota's conjecture
Pure Détour - University of Birmingham
21st Apr 2023
Local separators of Cayley graphs
Postgraduate Combinatorics Conference - University of Birmingham
29th Mar 2023
Demonstrating
Komplexitätstheorie exercise classes
TU Freiberg
Summer 2025
Algorithmic Graph Theory 2 exercise classes
TU Freiberg
Summer 2025
Algorithmic Geometry exercise classes
TU Freiberg
Winter 2024
Algorithmics exercise classes
TU Freiberg
Summer 2024
