“My favourite part was experiencing what research is like. I enjoyed
studying a specific concept in detail, and making new discoveries
was extremely rewarding.”

Meg Tully, The University of Melbourne

Past Student Blog Posts

Cell Type Deconvolution using LDA!

Cell Type Deconvolution using LDA!

Yichen Jiang
The University of Melbourne
Abstract: Cell Type Deconvolution is the process of uncovering cell type proportions in a biological tissue. Although it does not ...
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How learning by doing has inspired me

How learning by doing has inspired me

Rebecca Milne
Queensland University of Technology
Abstract: Research is something that is talked about a lot in the world but rarely do people get a chance ...
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I am happy to love maths

I am happy to love maths

Nina Hadzivukovic
Queensland University of Technology
As I see it, according to the media, finding “love” is the number one way to bring meaning to one’s ...
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Unveiling the Joy of Math: From Stress to Passion

Unveiling the Joy of Math: From Stress to Passion

Minh Thu Nguyen
Swinburne University of Technology
Abstract: Discover how enduring long school days and parental pressure shaped my passion for math in a demanding academic environment ...
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Exploring Techniques for Low-Diameter Networks in High-Performance Computing

Exploring Techniques for Low-Diameter Networks in High-Performance Computing

Matthew Cochran
Deakin University
Abstract: In this blog post, we delve into the fascinating world of graph theory and its intersection with computational mathematics ...
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The Journey of Mathematics

The Journey of Mathematics

Liam Barnes
The University of Newcastle
Anyone who knows me, even just a little, also knows that I have a passion for Mathematics. Admittedly, it is ...
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Equivariant Homology and Cohomology

Equivariant Homology and Cohomology

Kenrick Chung
University of New South Wales
Abstract Homology and Cohomology are functors which describe a topological spaces geometry. These invariants tell us loosely speaking about how ...
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SO(n)-invariant Einstein metrics

SO(n)-invariant Einstein metrics

Joseph Kwong
The University of Queensland
Smooth manifolds are generalisations of smooth curves and surfaces to higher dimensions. A Riemannian metric is a mathematical object defined ...
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Stochastic Optimal Control

Stochastic Optimal Control

Jonathan Mavroforas
University of Technology Sydney
Abstract In my report, stochastic optimal control and robust filtering were examined under the theory of rough paths. Methods were ...
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Incidence geometry is non-trivial, I promise!

Incidence geometry is non-trivial, I promise!

Jolyon Joyce
The University of Western Australia
Abstract: Mathematics students often joke about the word ‘trivial’. The word in its serious usage means that a given object ...
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Maths is Creative

Maths is Creative

Jason Lu
The University of Western Australia
Abstract: Questions in maths can appear strict and one-dimensional. Here, I share my thoughts on the creativity and complexity involved ...
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An interest in mathematics

An interest in mathematics

Nelly Tucker
Monash University
Abstract This blog describes what makes and has made mathematics interesting to me as a kid and still now as ...
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The Math-Data Science Dance: How I Found My Groove in Numbers

The Math-Data Science Dance: How I Found My Groove in Numbers

Saakshi Singh
Western Sydney University
Abstract: Join me on a journey of rediscovery as I share my personal story of falling in and out of ...
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Topology and Complexity of Braided Magnetic Fields of the Sun

Topology and Complexity of Braided Magnetic Fields of the Sun

Zachariah Jones
The University of Newcastle
During my participation in the AMSI Summer Research over the last 6 weeks, I have had the opportunity to delve ...
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How AI can play Pacman

How AI can play Pacman

Joel Woodfield
The University of Queensland
Abstract/Preview: Can AI play games like Pacman? Yes, they can. Reinforcement learning algorithms can get a computer to learn to ...
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Mathematics, Accounting and Dynamical Systems

Mathematics, Accounting and Dynamical Systems

James Kelly
The University of Melbourne
Abstract:   Many people are not familiar with the theory of polytonality, nor can they read sheet music. Yet nearly ...
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Safeguarding Our Data in the Post-Quantum Era

Safeguarding Our Data in the Post-Quantum Era

Jason Liu
The University of Sydney
Abstract: Quantum computing poses a serious threat to the safety of our data and communications. Shor’s algorithm is a quantum ...
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Keeping Dogs Safe with Mathematics

Keeping Dogs Safe with Mathematics

Thomas Hanyang Zheng
The University of Sydney
Abstract Dogs are our best friends. We rely on them for some very important roles, like livestock herding and emergency ...
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Why People care about Constructivism

Why People care about Constructivism

Isaac Bankier
University of Wollongong
Blog Abstract: In mathematics the obvious choice is not always the right one. This applies even to the very definition ...
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An Introduction to Spectral Theory

An Introduction to Spectral Theory

Enxi Lin
The University of New South Wales
In the field of functional analysis, Spectral Theory studies the spectrum of bounded linear operators, which is a generalisation of the ...
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Language and Learning Maths

Language and Learning Maths

Emily Palit
Monash University
Abstract: What kind of language do opt for when you’re helping someone with a maths problem? How does your brain ...
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I’ve had an interesting journey deciding what area of maths - pure, applied or statistics

I’ve had an interesting journey deciding what area of maths – pure, applied or statistics

Elizabeth Mabbutt
University of Wollongong
Abstract: I’ve had an interesting journey deciding what area of maths - pure, applied or statistics - I wanted to ...
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Cooking Up Success with Data Augmentation: Demystifying the Enhancement of Machine Learning Models

Cooking Up Success with Data Augmentation: Demystifying the Enhancement of Machine Learning Models

Dillon Batdorf
RMIT University
Abstract Data Augmentation is like a chef experimenting with a recipe to improve the dish. Used in machine learning, it ...
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WHAT YOU SEE AIN’T WHAT YOU GET – EXPLORING BRAIN PERCEPTION USING BAYES THEORY

WHAT YOU SEE AIN’T WHAT YOU GET – EXPLORING BRAIN PERCEPTION USING BAYES THEORY

Chih Yuan (Yuan) Chan
University of New England
When you are looking at something, what you are seeing is not what you are getting. Allow me to explain ...
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Forgetting the direction of directed graphs

Forgetting the direction of directed graphs

Chun Hei Lee
The University of Adelaide
When people talk about graphs, there are two main kinds, namely directed graphs and undirected graphs. A graph can be ...
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Dots, lines, and Categories

Dots, lines, and Categories

Alex Marciano
The University of Adelaide
Abstract. Graphs are easily understood mathematical objects, comprised of dots and lines between them. Category theory is a way of ...
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The Universal Language

The Universal Language

Sarah Kawaguchi
Western Sydney University
Growing up I have always loved puzzles and solving problems that required logic, yet I did not discover a passion ...
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Moving Through Word Embedding Space

Moving Through Word Embedding Space

Gabriel Schussler
Western Sydney University
For me, mathematics provides a gateway to understanding the world and changing it for the better. With massive breakthroughs we ...
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BILEVEL OPTIMISATION IS ALL AROUND US

BILEVEL OPTIMISATION IS ALL AROUND US

Tran Khanh Hung Giang
University of Sydney
In the study that I was working on during six weeks of AMSI Vacation Research Scholarship 2022-23, I studied bilevel ...
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What is a Riemann Surface?

What is a Riemann Surface?

Tiernan Cartwright
University of Sydney
Riemann surfaces involve calculus, geometry, and complex numbers. This blog post goes through the main ideas related to these topics ...
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Self-similarity is a familiar geometric property. In the eyes of algebra, however, what is a self-similar group?

Self-similarity is a familiar geometric property. In the eyes of algebra, however, what is a self-similar group?

Amelie Skelton
University of Sydney
Self-similarity is a familiar idea to most—the idea that an object like a coastline or a branching tree can repeat ...
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The Role of Programming in Pure Mathematics

The Role of Programming in Pure Mathematics

Marcus Chijoff
The University of Newcastle
When you think about pure maths, you’ll think about pages filled with definitions and theorems becoming increasingly abstract. What you ...
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Modelling the Biological and Chemical Clogging of Permeable Reactive Barriers

Modelling the Biological and Chemical Clogging of Permeable Reactive Barriers

Lucy Dowdell
The University of Newcastle
Mathematics has always been my passion, specifically I always had an interest in mathematical modelling. So I was excited to ...
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Modelling the dynamic response of a rail track with rubber inclusion

Modelling the dynamic response of a rail track with rubber inclusion

Josiah Murray
The University of Newcastle
Mathematics is a dynasty. One that spans centuries and is intrinsically tied to our wider histories. But we often only ...
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Not a ‘Maths Person’

Not a ‘Maths Person’

Anna Carpenter
The University of Newcastle
It’s a phrase I’m sure almost every Maths student has heard. From friends, relatives – I’m just not a maths ...
Read More
Girls Can Do Maths – My Journey in Mathematics as a Girl

Girls Can Do Maths – My Journey in Mathematics as a Girl

Yuqi Liu
The University of New South Wales
Anecdotally, when I struggled with a maths concept in primary school, I was told by my teacher “It’s okay because ...
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Randomization Techniques for Large-Scale Optimization

Randomization Techniques for Large-Scale Optimization

Xiaoyu Li
The University of New South Wales
The world of optimization is an exciting and dynamic field that touches many areas of our lives. From improving the ...
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The water that bears the boat is the same that swallows it up

The water that bears the boat is the same that swallows it up

Yixin Kang
Macquarie University
In fact, for a fluid, there are two different moving states. One is called laminar, which is smooth and stable, ...
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Gambling Against Cheaters

Gambling Against Cheaters

Joel Denning
Macquarie University
Imagine a gambler playing a game repeatedly (albeit a finite number of times, say ), accumulating or losing some winnings ...
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Optimal Control in Stochastic Hydrodynamic Models

Optimal Control in Stochastic Hydrodynamic Models

Michael Nefiodovas
University of Western Australia
Inverse optimisation is an interesting and important field that seeks to solve the inverse problem of optimisation by determining the ...
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You Can’t Have Imposter Syndrome If You’re Actually an Imposter

You Can’t Have Imposter Syndrome If You’re Actually an Imposter

Joshua Troy
University of Western Australia
I share some thoughts on my experience with the all too common mathematical imposter syndrome. It must be emphasised that ...
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The immense power of mathematics

The immense power of mathematics

Brenton Horne
University of Southern Queensland
As someone that has had an interest in the world around me since early childhood, developing an interest in mathematics ...
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Supersymmetric quantum mechanics and Witten index

Supersymmetric quantum mechanics and Witten index

Yixiang Wang
The University of Melbourne
We explore a basic topological characteristic associated with supersymmetric theories, called the Witten index. The project starts with recalling basic ...
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Predicting Stock Price Volatility --- Try FDA!

Predicting Stock Price Volatility — Try FDA!

Runqiu Fei
The University of Melbourne
In support of today’s frequent and continuous decision makings in the financial stock market, we employ Functional Data Analysis (FDA) ...
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NanoSplicer

NanoSplicer

Patrick Grave
The University of Melbourne
NanoSplicer (Yupei You et al, 2022) is a program that accurately identifies splice junctions using Oxford Nanopore Sequencing data. It ...
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The Power of Pólya Urn Model: Deciphering Complex Systems with Simple Math

The Power of Pólya Urn Model: Deciphering Complex Systems with Simple Math

Jiani Xie
The University of Melbourne
Have you ever been curious about how mathematicians decipher complicated systems such as the evolution of species or the spread ...
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Riemann Integration and Lebesgue Integration

Riemann Integration and Lebesgue Integration

Yawei Chen
University of Adelaide
The Lantern Festival is a traditional Chinese festival. When I was a child, for the Lantern Festival, my parents would ...
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What is Meant by the Category of Dessins d’Enfants?

What is Meant by the Category of Dessins d’Enfants?

Thomas Dee
University of Adelaide
When I tell you my project is concerned with ‘the category of dessins d’enfants’, it is likely that three questions ...
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Why We Study Category Theory!

Why We Study Category Theory!

Paawan Jethva
University of Adelaide
Category theory is a general theory of mathematical “structures.” (We will explain what we mean by “structure” in the article.) ...
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Maths, Art, and Staring Blankly at Numbers on a Whiteboard

Maths, Art, and Staring Blankly at Numbers on a Whiteboard

Macey Lawson
University of Adelaide
I live and breathe for all types of art, so why exactly did I choose to study mathematics instead? I ...
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The Security of Cryptography

The Security of Cryptography

Lachlan Schilling
University of Adelaide
Living in a world in which technology is becoming more and more integrated with our daily lives, it is necessary ...
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Modelling Stress Fibres

Modelling Stress Fibres

Timothy Ryall
University of Queensland
When you hear stress fibres most people tend to think of muscles, these two are similar in certain ways, they ...
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An Introduction to Supergeometry

An Introduction to Supergeometry

Benjamin Kruger
University of Queensland
An extension to the standard model of particle physics is the theory of supersymmetry. In the current standard model of ...
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Dynamical System Approach to Modelling of Electromagnetic Stirring

Dynamical System Approach to Modelling of Electromagnetic Stirring

Rakindu Wickramarathne
Swinburne University of Technology
Electrodynamics and fluid mechanics might not necessarily sound like two fields with much overlap at first glance, but the range ...
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My motivation for mathematics

My motivation for mathematics

Mikaela Westlake
Queensland University of Technology
Abstract: Finding ones reason to continue through research in mathematics is a difficult and personal question to ask. My purpose ...
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Online shopping, Among Us and the Secrets of the Universe

Online shopping, Among Us and the Secrets of the Universe

Dan Tran
Queensland University of Technology
Our lives are shaped by all our past, current and future choices, but how do we make them? How can ...
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I Didn’t Like Maths

I Didn’t Like Maths

Oscar Eden
Monash University
I didn’t like maths, but just spent six weeks of my uni holidays doing mathematical research (specifically knot theory). A ...
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Life is a Random Walk on a Discrete Lattice

Life is a Random Walk on a Discrete Lattice

Liam Wood-Baker
Monash University
When I was accepted into AMSI’s summer research scholarship program, I confess I didn’t really know what I had signed ...
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Why I Study Maths, and Why You Should Too?

Why I Study Maths, and Why You Should Too?

Jack Mills
Monash University
Since choosing to major in maths at university and even more now that I am starting my honours year in ...
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What is the Potts model?

What is the Potts model?

Huateng Zhu
Monash University
In 1952, Robin Potts introduced the Potts model in his PhD thesis as a generalisation of the Ising model, which ...
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Why Math??

Why Math??

Soprom Meng
La Trobe University
There are a lot of people who hate math and does not to get involved in this subject. However, if ...
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My Journey To Mathematics

My Journey To Mathematics

Lauren White
La Trobe University
My journey to studying mathematics was not a straightforward path out of school. Whilst maths has always been a part ...
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The Journey of researching ice sheet

The Journey of researching ice sheet

Yihong Mei
James Cook University
In this blog post, I share my experience as a data science student researching ice sheets. From finding the project ...
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Minimizing Costs in Glass Cutting with Variable-Sized 2D Bin Packing: An Approximate Decomposition Based Approach

Minimizing Costs in Glass Cutting with Variable-Sized 2D Bin Packing: An Approximate Decomposition Based Approach

Xiaojuan He
Deakin University
Imagine you are an employee in the glass industry tasked with producing rectangular pieces from large glass sheets. You have ...
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Integrating Genomic and Clinical Data to Improve Ovarian Cancer Patient Outcomes

Integrating Genomic and Clinical Data to Improve Ovarian Cancer Patient Outcomes

Jecinta Jaarola
Curtin University
Ovarian cancer is the most lethal form of gynaecological malignancy, with almost 314,000 women diagnosed with ovarian cancer in 20201 ...
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Classifying Stages of Endometrial Cancer

Classifying Stages of Endometrial Cancer

Sophie Giraudo
The University of Western Australia
Endometrial cancer is the most common cancer of the female reproductive system. Though typically diagnosed quickly, it is difficult to ...
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The Essence of Mathematics Lies in Its Freedom

The Essence of Mathematics Lies in Its Freedom

Liuhao Yu
The University of Western Australia
As a Chinese student who grew up in China in early 2000s, I was greatly influenced by the social environment ...
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My Favourite Piece of Maths, the Borsuk Ulam Theorem, and a Point About Mathematical Communication

My Favourite Piece of Maths, the Borsuk Ulam Theorem, and a Point About Mathematical Communication

Daniel Claassen
The University of Western Australia
We as mathematicians are always aiming to push the field forward, which often means that we can leave some behind ...
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Bayesian Statistics

Bayesian Statistics

Mark Youssef
University of Technology Sydney
“If someone is able to show me that what I think or do is not right, I will happily change, ...
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Paths Through the Matrix

Paths Through the Matrix

Aden Northcote
University of Technology Sydney
When I first reached out to my project supervisor Murray Elder about this project, I had never dealt with generating ...
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Triangulations

Triangulations

Rajan Shankar
The University of Sydney
Triangulations are a way of decomposing surfaces into triangles. For a variety of purposes, it is of interest to understand ...
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Kepler Problem

Kepler Problem

Jonathan Skelton
The University of Sydney
Various generalisations exist of the Kepler Problem beyond flat everyday geometry to more  exotic geometries. An example of such a ...
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Why I Study Mathematics

Why I Study Mathematics

Georgio Hawi
The University of Sydney
“People study mathematics for many reasons and in this blog post I talk about why I love and study mathematics ...
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Geometries of Higher-Dimensional Spheres That Are Invariant Under Symmetries

Geometries of Higher-Dimensional Spheres That Are Invariant Under Symmetries

Patrick Donovan
The University of Queensland
We consider the problem of finding and classifying Einstein metrics on  spheres that are invariant under certain rotational symmetries. In ...
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Procrastinating on YouTube Made Me Interested in Maths

Procrastinating on YouTube Made Me Interested in Maths

Kyle Macaskill
The University of Queensland
Procrastination is something that most of us probably do. Some of us procrastinate by doing productive tasks such as cleaning ...
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The Problem With Physics

The Problem With Physics

Jesse Woods
The University of Queensland
Physics has a problem. Our two most successful theories are incompatible at the fundamental level. On one hand, we have ...
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Maths as a Kid

Maths as a Kid

Jaco van Tonder
The University of Queensland
As a kid I was introduced to ‘real maths’ through maths competitions involving visual puzzles. These puzzles stimulated creative problem ...
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Evolving the Metric by Moving in the Direction of the Bach Tensor

Evolving the Metric by Moving in the Direction of the Bach Tensor

Adam Thompson
The University of Queensland
Geometric evolution equations provide a powerful method of studying the geometry of manifolds by evolving a metric in a particular ...
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Mathematics in Insurance

Mathematics in Insurance

Patrick Gillen
University of Wollongong
Models are used extensively in the modern day, but if the foundations of a model doesn’t accurately reflect the process ...
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Data Assimilation for Korteweg-De Vries Equations

Data Assimilation for Korteweg-De Vries Equations

Michael Kaminski
University of Wollongong
The first half of my project’s title, data assimilation (or DA), is an umbrella term which describes many different statistical ...
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American Option Pricing with Transaction Costs

American Option Pricing with Transaction Costs

Jeremy Sterjovski
University of Wollongong
Many have the opinion mathematics is exclusively isolated to esoteric applications with little real-world use. This couldn’t be further from ...
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Quantifying Twistedness

Quantifying Twistedness

Jamie Bell
University of Wollongong
Mathematicians have been interested in the study of shapes since its very inception. In modern times, many very sophisticated tools ...
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Analytic Theory for Magnetic Skyrmions in a Thin Film

Analytic Theory for Magnetic Skyrmions in a Thin Film

Ellen Lu
The University of Newcastle
Have you ever complained about not enough data storage space for your computer, or your hard drive is too power ...
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Bayes or Not Bayes?

Bayes or Not Bayes?

Yuxin Yan
The University of Melbourne
There has been a long debate between Bayesian statistics and frequentist statistics. What is the difference between them? Should I ...
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What Do Trivia and Mathematics Have in Common?

What Do Trivia and Mathematics Have in Common?

Yifan Guo
The University of Melbourne
Many combinatorial identities can be proved by simply telling an intuitive story. The story doesn’t end there! When generalising existing ...
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The Relationships Between Things

The Relationships Between Things

Muhammad Haris Rao
The University of Melbourne
When I tell people outside of mathematics that I am interested in algebra, I often receive confused looks. To the ...
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Population-Size-Dependent Birth-and-Death Processes

Population-Size-Dependent Birth-and-Death Processes

Minyuan Li
The University of Melbourne
We introduce a class of stochastic models called population-size-dependent birth-and-death processes and describe their general evolutionary behaviours. We then further ...
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Jumping into Pergory

Jumping into Pergory

Miles Koumouris
The University of Melbourne
I enjoy problems whose solutions make use of things I know about. That’s part of the reason why I found ...
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Ranking of Products on Amazon – Does it Stabilise?

Ranking of Products on Amazon – Does it Stabilise?

Kate Zhang
The University of Melbourne
When you shop on Amazon, what impacts your decision of what to buy? You might have a favourite brand, or ...
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Generative and Algorithmic Art

Generative and Algorithmic Art

Hannah Perry
The University of Melbourne
In recent years there has been a surge in the interest of using computational methods and tools for art creation ...
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Friends and Random Networks

Friends and Random Networks

David Chen
The University of Melbourne
How do you meet your friends? It turns out that if we know the answer, we may know a great ...
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Passion for Mathematics

Passion for Mathematics

Jovana Kolar
The University of New South Wales
Where did my passion for mathematics arise from? How have my reasons for enjoying mathematics changed over time? I briefly ...
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Pure Mathematics

Pure Mathematics

Daniel Dunmore
The University of New South Wales
Only three years ago, I never would have expected that I would end up studying pure mathematics. From the beginning, ...
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Me and Mathematics

Me and Mathematics

Shurui Yi
University of South Australia
Throwback to my childhood, my mathematical journey started from learning how to use an abacus. It is a traditional Chinese ...
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You Know What, It’s All About Modelling

You Know What, It’s All About Modelling

Hanyi Wang
University of South Australia
Not sure how are you feeling when you first create a document and plan to type something for your blog? ...
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Introduction to Social Network Analysis

Introduction to Social Network Analysis

Nayani Ranasinghe
RMIT University
We all know that the term social networking refers to the use of internet-based social media sites to stay connected ...
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My Research Project!

My Research Project!

Luke Filippini
Queensland University of Technology
Thermal diffusivity! It’s partly why your jumper keeps you warm in winter and why your phone doesn’t blow up in ...
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Is Mathematics Really Just Right or Wrong?

Is Mathematics Really Just Right or Wrong?

Joshua Roebuck
Queensland University of Technology
Growing up, I always told people I preferred Maths over English at school, because I liked ‘knowing if I was ...
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How to Be Inspired by Your Research

How to Be Inspired by Your Research

Geneva Birtles
Queensland University of Technology
A few months ago, when I was just about to complete my final semester of my undergraduate degree, I attended ...
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When Should I Stop?

When Should I Stop?

Patrick Daley
Macquarie University
Do you often struggle to make decisions? Do you spend too much time deliberating over a bunch of options, trying ...
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Computational (Optimal) Transport for Domain Adaptation

Computational (Optimal) Transport for Domain Adaptation

Thanh Dat Tran
Monash University
Modern machine learning tasks often requires the access to high volumes of labelled data to produce exceptional and reliable performance ...
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A Bumpy Path to Mathematics

A Bumpy Path to Mathematics

Pu Ti Dai
Monash University
My name is Puti and I study mathematics at Monash University. I never thought I would end up being interested ...
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The Joy of Mathematics

The Joy of Mathematics

Preet Patel
Monash University
It is sometimes difficult to explain why I like maths, so an analogy may help. Many people aspire and train ...
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Steam Is Water in Disguise

Steam Is Water in Disguise

Peter Gill
Monash University
It’s a hot summer day. Your throat is parched. Luckily, you have a water bottle. Unluckily, in your hope to ...
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Temperature

Temperature

Huan Chen
Monash University
When you go back home in the cold winter, you may like to turn on the air conditioner or heater ...
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Numbers, Knots and Whatnot

Numbers, Knots and Whatnot

Emma McQuire
Monash University
When I tell people that I’ve been doing a research project on knots, some people say ‘oh that’s cool’ or ...
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Why I Chose Maths, the Building Block of Science

Why I Chose Maths, the Building Block of Science

Adam Brown-Sarre
La Trobe University
I started out my University journey believing I would go into Physics, However I found the fundamental nature of maths ...
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Predicting House Prices Is Hard

Predicting House Prices Is Hard

Adam Bilchouris
La Trobe University
I am sure you have checked your house’s price on realestate.com.au and Domain and were happy with the price, but ...
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My Maths Journey

My Maths Journey

Jamie Keegan-Treloar
Flinders University
If I had been asked as a child what I wanted to be when I grew up, I don’t think ...
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My Journey Towards Appreciating Mathematics

My Journey Towards Appreciating Mathematics

Cecilia Andersson
Flinders University
At no point growing up was I sure that mathematics was what I would pursue. Sure, it was something I ...
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Me and Mathematics

Me and Mathematics

Tyson Rowe
The University of Adelaide
From a young age, I developed a fascination with mathematics through numbers and how they interacted with each other at ...
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Image Processing Using the Fourier Transform

Image Processing Using the Fourier Transform

Sami Salem
The University of Adelaide
During my research into Image Processing techniques, I came across a number of different approaches – with a vast majority ...
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What Is Dense Correspondence?

What Is Dense Correspondence?

Paimoe Tapsell
Edith Cowan University
When we see two images of the same scene, with slight differences, we can usually tell they are the same ...
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Can Mathematics Produce Low-Risk Investment Portfolios Which Stand the Test of Time?

Can Mathematics Produce Low-Risk Investment Portfolios Which Stand the Test of Time?

Zachary Tindale
Curtin University
In a world where we are bombarded with scam advertisements claiming we can make 6 figures a month from the ...
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Music Sounds Nice to Our Ears. Can Maths Tell Us How?

Music Sounds Nice to Our Ears. Can Maths Tell Us How?

Olin Gao
Australian National University
When I was only five years old I heard this little song. It sounded really nice, I couldn’t help but ...
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Naturally Reductive Metrics on Homogeneous Spaces

Naturally Reductive Metrics on Homogeneous Spaces

Marcus Flook
The University of Queensland
A smooth manifold is a topological space which locally resembles a Euclidean space, allowing us to perform calculus. Curves in ...
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Music > Notes Played

Music > Notes Played

Anthony Warwick
Western Sydney University
Many people associate the word ‘mathematics’ with a palpable sense of dread, but there is a lot that can be ...
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Population Heterogeneity and COVID-19

Population Heterogeneity and COVID-19

Tianze Wei
University of Wollongong
For well over a year, the current COVID-19 pandemic has transformed the way we live, resulting in over one hundred ...
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Cats and the Quantum Measurement Problem

Cats and the Quantum Measurement Problem

Alex Paviour
University of Wollongong
Is the cat in the box alive or dead? In fact, until we look at it, both. By the mid-1920s, ...
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From Games to Mathematics

From Games to Mathematics

John Cu
University of Technology Sydney
As a child, I loved video games. I could spend all day just sitting in front of the computer screen ...
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Nanoscale Droplets

Nanoscale Droplets

Benjamin Babu
University of South Australia
My project focused on nanoscale droplets (extremely small droplets), more specifically, nanoscale oil droplets that are on a flat surface ...
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Building Good Policy with Data

Building Good Policy with Data

Luke Thomas
The University of Western Australia
Australia faces unprecedented challenges over the coming decade. We need to fight off COVID-19 and rebuild the economy. We need ...
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On the Joys of Mathematics Education

On the Joys of Mathematics Education

Joshua Crawford
The University of Western Australia
It’s incredible to think how my view on mathematics has changed over the last ten years, and It couldn’t have ...
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Modelling Complicated Things Might Not Be So Complicated

Modelling Complicated Things Might Not Be So Complicated

Jack Mulqueeney
The University of Western Australia
Over the summer, I investigated how effective stochastic modelling methods can be in modelling overly complicated physical behaviour. Using fairly ...
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Characterising Geometric Objects

Characterising Geometric Objects

Youheng Yao
The University of Sydney
The problem of characterising geometric objects is always interesting. In a three dimensional space, we can characterise a compact surface ...
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Probability in Mathematics

Probability in Mathematics

Andrew Rajchert
The University of Sydney
Probability is almost always treated as an entirely separate field of mathematics, more akin to statistics and not treated in ...
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The Forests of Research

The Forests of Research

Dibyendu Roy
The University of Sydney
Mathematical research is unique in that it is physically accessible to anyone with pen and paper but also so abstract ...
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Collaboration in Climate Modelling

Collaboration in Climate Modelling

Elizabeth Rose
The University of Sydney
Mathematical models are incredibly powerful tools that use the relationships between variables to understand how a system will evolve. One ...
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The Box-Ball System

The Box-Ball System

Benjamin Solomon
The University of Queensland
The box-ball system is a discrete dynamical system composed of a finite number of balls in an infinite line of ...
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How to Handle Correlated Data

How to Handle Correlated Data

Wilson Lorensyah
The University of Queensland
In simplest term, linear model can describe a continuous response variable as a function of predictor variables. For example, a ...
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Mathematical Creativity

Mathematical Creativity

Bowen Parnell
The University of Newcastle
When trying to create an artwork, you are often trying to send a message. The purpose of your art might ...
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The Puzzle of Mathematics

The Puzzle of Mathematics

Cameron Shaw-Carmody
The University of Newcastle
My interest in mathematics is so much a part of my life that it is difficult to know how or ...
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Why Maths

Why Maths

Sona Reddy
UNSW
Beauty, creativity and... maths? Most people do not associate being creative and expression with mathematics, when speaking of creativity, we ...
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Why Maths?

Why Maths?

Sona Reddy
UNSW
Beauty, creativity and... maths? Most people do not associate being creative and expression with mathematics, when speaking of creativity, we ...
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The Solid of Minimal Resistance

The Solid of Minimal Resistance

Juan Avila Molina
UNSW
What is the first thing we envision when we think of something aerodynamic? A sports car, maybe? A bullet train, ...
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What's the Most Painless Way to Implement a Large Search on a Computer?

What’s the Most Painless Way to Implement a Large Search on a Computer?

Tiana Tsang Ung
UNSW
In this AMSI project, the solution I found was simply to avoid implementing the search completely. Instead, code was written ...
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The Sum of Its Parts

The Sum of Its Parts

Saleh Naghdi
The University of Melbourne
Say, what’s so natural about the natural numbers, that is, {1, 2, 3, …}?  Well, you might agree with me ...
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Rules Governing the Motion of Ground-Feeding Galahs

Rules Governing the Motion of Ground-Feeding Galahs

Rebecca Rasmussen
The University of Melbourne
Have you ever wondered how flocks of birds or schools of fish can move so well as a group? Research ...
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How I Fell in Love with Machine Learning

How I Fell in Love with Machine Learning

Gyu Hwan Park
The University of Melbourne
What is machine learning? Why is it so interesting? Will the advancements in these technologies lead to the development of ...
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The Strong Law of Small Numbers

The Strong Law of Small Numbers

Michael Law
The University of Melbourne
According to the Strong Law of Small Numbers: ‘There aren’t enough small numbers to meet the many demands made of ...
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Intensive Care Units Behaving Strategically

Intensive Care Units Behaving Strategically

Ashley Hanson
The University of Melbourne
Many large hospitals include an intensive care unit (ICU) for the care and treatment of patients who are critically ill ...
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People of Mathematics

People of Mathematics

Aram Perez
Monash University
Mathematics is exciting and all, but I’d like to discuss some of the people in mathematics. Growing up I found ...
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My VRS Project

My VRS Project

Nauvoo Perez
La Trobe University
I often feel as if mathematics is extremely far removed from real life. However, sometimes there are surprise instances where ...
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