Lattice paths and submonoids of Z²
With James East.
Research / mathematics
Structure, symmetry
and enumeration.
My research sits mainly in algebra and combinatorics, particularly diagram semigroups and algebras, lattice paths, and symmetry in finite strategic-form games.
Published work
Papers
Enumeration of idempotents in planar diagram monoids
With Igor Dolinka, James East, Athanasios Evangelou, Des FitzGerald, James Hyde, Nicholas Loughlin and James Mitchell.
Enumeration of idempotents in diagram semigroups and algebras
With Igor Dolinka, James East, Athanasios Evangelou, Des FitzGerald, James Hyde and Nicholas Loughlin.
Theses
Long-form work
The Planar Modular Partition Monoid
Supervised by Des FitzGerald and Peter Jarvis.
Some Structure Properties of Finite Normal-Form Games
Supervised by Des FitzGerald.
Beyond papers
Teaching and mathematical community.
I lectured in Analysis 3 and Quantitative Methods, tutored across mathematics and economics, organised a weekly algebra seminar, and served as treasurer of the 4th Australian Mathematical Sciences Student Conference.
I have also contributed to sequences in the OEIS, including A005043, A005165, A035343, A067955, A097609 and A308087.
Find OEIS contributions →