Matroid theory, graph theory, computational complexity, cryptography and coding.
BMus (VUW), BA (Cantab.), BAHons (VUW), MA (VUW), DPhil (Oxon.)
Fellows: Rutherford Discovery Fellowship
I studied music and mathematics alongside each other when I was a student. Mathematics won out eventually, but I still play music with orchestras around New Zealand.
My research is concentrated in matroid theory, which is type of abstract geometry. Over the years, I have enjoyed learning more about other fields of mathematics, including computability theory (the study of what computers are capable of doing), complexity theory (the study of what computers are capable of doing efficiently), model theory (the study of what formal languages are capable of expressing), and algebraic number theory.
The VUW matroid theory research group.
Marsden Fast-Start Grant (2009), Rutherford Discovery Fellowship (2014)
Matroid theory, combinatorics
I am happy to be approached by potential students.
Current Master and PhD students:
Meenu Mariya Jose, PhD - Well-quasi-ordering and axiomatisability
Past Master and PhD students:
Will Critchlow, PhD, 2017 – Randomness in classes of matroids
Xander Perrott, MSc, 2016 - Identically self-dual matroids
Kadin Prideaux, MSc, 2015 – Families of cyclic flats of matroids
Michael Welsh, PhD, 2014 – On maximum-sized golden-mean matroids
Amanda Cameron, MSc, 2013 – Kinser inequalities and related matroids
Michael Snook, PhD, 2013 – Matroids, complexity, and computation
Michael Welsh, MSc, 2011 – Golden-mean and secret sharing matroids
List of selected publications:
Please see website: