Discrete Mathematics

Welcome to new PhD student, Jeffrey Santrio, who will work on decomposition thresholds of graphs, supervised by Daniel Horsley.

Sophia Witham has won big at the Faculty of Science baking competition. Her Latin cube of order 5 won both the mathematics prize and the people’s choice awards. An amazing work — and believe me it tasted really good too. I’m really looking forward to her 4-dimensional hypercube in next year’s competition!!!

The group will be well-represented at the Canadian Discrete and Algorithmic Mathematics Conference (CanaDAM) in June next year. Daniel Horsley is an invited speaker and organiser of an invited minisymposia “Graph Decompositions and Designs”, and David Wood is a co-organiser of an invited minisymposia “Structural Graph Theory”, while Ian Wanless is on the program committee.

Huge congratulations to Dr Carly Bodkin, whose PhD thesis entitled “The combinatorics of binary matrices” has just been officially passed. The referees were impressed with the thesis and recommended it be passed with only minor corrections.

Carly was supervised by Ian Wanless.

Following the MATRIX workshop, we are hosting several visitors this week: Vida Dujmovic (Ottawa), Gwenael Joret (ULB Brussels), Piotr Micek (Krakow), Freddie Illingworth (UCL London).

This week several group members are at the MATRIX workshop Global Structure and Geometry of Graphs in Creswick. A stellar cast of international researchers are attending.

Massive congratulations to Jack Allsop whose 2025 PhD Thesis “Latin Subrectangles” has been awarded the Vice-Chancellor’s Commendation for Thesis Excellence. His thesis was supervised by Ian Wanless.

Welcome to the following new PhD students in the discrete maths group:

• Raj Kaul (from Monash Uni, structural graph theory, supervised by David Wood)
• Neel Kaul (from Monash Uni, structural graph theory, supervised by David Wood)
• Nivedita Tewary (from Uni Auckland, New Zealand, supervised by Ian Wanless)
• Sophia Witham (from Uni Canterbury, New Zealand, supervised by Ian Wanless)

Congratulations to Carly Bodkin, who today submitted her PhD thesis entitled “The Combinatorics of Binary Matrices”. Her thesis was supervised by Ian Wanless.

Due to serious health issues it’s been a long and difficult journey to this point. But persistence is now reaping its sweet reward. A huge achievement!!

Congratulations to Marc Distel who has submitted his PhD thesis entitled “Global Structure of Minor-Free Graphs and Beyond” (supervised by David Wood). Marc’s candidature has been a tremendous success, producing 16 papers, including publications in Advances in Combinatorics; Combinatorics, Probability & Computing; Electronic J. Combinatorics; Innovations in Graph Theory; and SIAM J. Discrete Math. The thesis is based on five single-authored papers within the themes of coarse graph theory and graph product structure theory, which have been hot topics in structural graph theory over the past few years.

Update (18th May): Marc’s thesis has been accepted with no revisions. Both examiners rated it as exceptional. Congratulations Marc!

Update (7th June): The thesis is now on the Monash website.