Hi there!
This my webpage, housing various things which I have produced while at university.
Publications and Preprints

Ryan Ahern, Mathew Zuparic, Alexander Kalloniatis, and Keeley Hoek. Unifying warfighting functions in mathematical modelling: combat, manoeuvre, and C2.
Submitted, 2021. 
Alexander C. Kalloniatis, Keeley Hoek, Mathew Zuparic, and Markus Brede.
Optimising structure in a networked Lanchester model for fires and manoeuvre in warfare.
Journal of the Operational Research Society, pages 1–16, 2020. 
Richard Taylor, Alexander C. Kalloniatis, and Keeley Hoek.
Organisational hierarchy constructions with easy Kuramoto synchronisation.
Journal of Physics A: Mathematical and Theoretical, 2020. 
Mathew Zuparic and Keeley Hoek.
Green's functions and the Cauchy problem of the Burgers hierarchy and forced Burgers equation.
Communications in Nonlinear Science and Numerical Simulation, 73:275–290, 2019.
Honours Thesis
Here is my honours thesis, Drinfeld centers for bimodule categories. It was supervised by Professor Scott Morrison at the Australian National University.
At the conclusion of my honours year I gave a colloquiumstyle talk on some results from the second chapter.
Reports/Essays
Graduate

The Stone–von Neumann–Mackey theorem: Quantum mechanics in functional analysis

Rosenberg's reconstruction theorem: A path to noncommutative algebraic geometry
Undergraduate

A spectral entrée to the Ergodic theory proper, lightly seasoned with a physical perspective

Why study algebras over functors? Algebras, Monads, and the proof of Beck's monadicity theorem

Noncommutative vector bundles: The Greatest Hits™ of the Ktheory of C*algebras

Monoidal ∞categories over ∞operads: Elements of Higher Algebra

Rewrite heuristics and pair exploration for automated theorem proving

Transfers and tom Dieck splitting, via the Wirthmüller isomorphism