The following are a selection of (all unpublished) mathematical essays I have written for various courses and projects:
My master’s thesis on the geometric Satake Equivalence written under the supervision of Alexis Bouthier.
84 page Honours (Bachelor) thesis written under the supervision of Associate Professor Uri Onn, in which I studied a 2004 paper by Lubotzky and Martin on the congruence subgroup property and polynomial representation growth.
A 10 page paper with lots of diagrams I wrote for a course in 3-manifolds given by Joan Licata at the ANU. We discuss braid groups, pure braids, finite type invariants and combing.
A 5 page essay I wrote for a course in Functional Analysis given by Pierre Portal at the ANU. We discuss the representation theory of compact topological groups, comparing it at each stage to the theory for finite groups.
A 39 page informal summary of the second half of the reading course “Fourier Analysis on Number Fields” I took with Uri Onn at the ANU.
A 50 page (unofficial) summary document of solutions to homework problems given in the course in “Algebraic Groups” I took with Paul Nelson at ETH Zürich. Written in lock-down as part of my revision for the course.
An 11 page report from a project I undertook with Katharine Turner at the ANU during the Summer of 2018-2019.