Writing
Here is a list of all the papers, essays and notes I’ve written.
Undergraduate: ANU
Semester 1 2017
 Notes on Quantum Field Theory. I have written course notes for an introductory quantum field theory course, aimed at third year undergraduate course at the Australian National University. The aim is to create a course which provides a solid conceptual and computation foundation for undergraduate students, whilst developing the basics of topics in both particle physics and condensed matter theory. The notes cover canonical quantization, pathintegrals, Feynman diagrams, fermions, treelevel QED and the basics of spontaneous symmetry breaking.
Honours  2016

Honours Thesis. My honours project studied the emergence of nuclear interaction from higher energy physics. In particular, I was aiming to relate the phenomenological energy density functionals used in nuclear manybody simulations to underlying mesonic physics. My supervisor was Cedric Simenel, a nuclear theorist specializing in nuclear dynamics.

I gave two presentations on my honours thesis. The midyear was delivered after I had completed my preliminary research, and the final was given after my thesis had been written.

NonAnomalous Semigroups and Real Numbers. A paper presenting a novel definition of the real numbers, which I wrote as part of a course on category theory. The paper can be found on the arxiv at https://arxiv.org/abs/1607.05997.

Dark Matter and the Diphoton Excess. Some notes I wrote in January on the 750 GeV diphoton resonance, while I was at Melbourne University. The diphoton resonance now appears to have been a statistical fluctuation, so my notes are no longer useful for anything.
2015

The Quantum Zeno Effect. In this essay I show that the quantum Zeno effect is nonphysical in the sense that any system which can perform the necessary arbitrarily quick measurements requires infinite energy. I wrote this as part of a measurement theory course run by Matt James, which heavily influenced my thinking on the measurement problem.

I did a reading course on general relativity with Susan Scott. My final report was a collation of various tasks I completed through the semester. The most interesting parts are a discussion of the energy conditions in FRW cosmology, and a book review of Quantum Field Theory: The Why, What and How by Thanu Padmanabhan. My final presentation was on the singularity theorems.

I also did a reading course on quantum field theory with Vladimir Bazhanov. My final report was on higher order corrections to the WKB method, as was my final presentation.

My PHYS 3033 lab report, which was on neutron activation analysis. This mainly serves as proof (to myself mostly) that I can do labs, and I had a lot of fun automating peak detection and statistical analysis. The most fun part about this was the background peak identification, as I managed to detect both the \(^{238}\)U and \(^{232}\)Th sequences, along with a few other harder to identify peaks.

Here are my (terse) notes for Algebraic Topology and for Algebra 3 (on Lie algebras and representation theory).
2014

Supersymmetric Quantum Mechanics, an essay I wrote for PHYS3001. Pretty much every single solvable model in quantum mechanics can be understood in this framework.

The Ergodic Theorem, an essay I wrote for Analysis 3. It presents a proof of the Pointwise Ergodic Theorem, and then uses the theorem to prove Borel’s Theorem for Normal Numbers as well as the Strong Law of Large Numbers.

Stochastic Simulation of a TwoLevel Quantum System and Truncated Wigner Simulation of Squeezing in an Anharmonic Oscillator. I wrote these as part of an open quantum systems project undertaken with Joseph Hope. My final presentation was on Wigner functions.
High School (20022013)
In years 11 and 12 I studied for the International Baccalaureate, which requires students to write an extended essay on a topic of their choosing. Against pretty much all advice I read I decided to do one in maths. Since I struggled to find good maths extended essays, I have uploaded mine here in the hope it will prove useful to future students (and also to prove you don’t have to do cryptography as your topic if you do a maths extended essay).