Hi, my name is Declan. I'm interested in mathematics and, more broadly, quantitative problem solving. I graduated with an Honours degree in Mathematics from the University of Queensland in mid-2025; my supervisor was Masoud Kamgarpour. Currently, I'm working as an Associate at Apogee in Perth. At Apogee, I work on problems in data analysis and data visualisation, amongst other things.

You can contact me by emailing declan.fletcher at uq.edu.au. Here is a nice formula:

\[ 1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \frac{1}{11} + \cdots = \frac{\pi}{4}. \]

Mathematics

At the moment, I'm learning about modular forms, following Serre's book.

In Semester 1, 2025, I organised a reading group about Galois theory.

Below are some of my writings and talks from my studies:

• My honours thesis is on Affine Toric Varieties and Torus Quotients. I gave a talk about my project for a general mathematics audience.
• I gave a talk about Maximum and Hitting Times for the Wiener Process for an advanced probability course. The talk follows section 6.5 of Dirk Kroese's book.
• I wrote a summary of the section of Stein and Shakarchi's book about Dirichlet Theorem on Primes in Arithmetic Progressions. This was part of Adrian Dudek's reading course on Fourier analysis in number theory.
• I wrote a report on Polynomial Representations of \(\mathrm{GL}_n(\mathbb{C})\) for a course on representation theory.

Previous Work

During my studies, I worked as a tutor. I tutored numerous first-, second-, and third-year mathematics and statistics courses, including MATH3303, MATH3401, and STAT2004.

I was a trading intern at VivCourt in Sydney during summer 2023/24.

Music