“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

Solve This Puzzle To Understand Semigroup Presentations

Solve This Puzzle To Understand Semigroup Presentations

Luka Carroll
Western Sydney University
Abstract: Can you solve this puzzle? If you can, great work! You’ll have proven an important mathematical result and gained ...
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Relearning How to Love Mathematics

Relearning How to Love Mathematics

Yangda Bei
Australian National University
Abstract Many students enter university with a passion for mathematics, only to find themselves disillusioned by its abstract and rigorous ...
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Knots Everywhere: A Summer Research Story

Knots Everywhere: A Summer Research Story

Uli Krahn
The University of New England
‘And now we work’, said my supervisor, the week after I got accepted for SRS. This suited me fine, it’s ...
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How Cloud Computing Helps Large-Scale Data Analysis

How Cloud Computing Helps Large-Scale Data Analysis

Toby Mew
Monash University
Organisations like the Australian Bureau of Statistics (ABS) collect and manage a large amount of data to estimate key population ...
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Post-Quantum Security: Rethinking Cryptography before it’s too Late

Post-Quantum Security: Rethinking Cryptography before it’s too Late

Shirley Wang
The University of Sydney
Abstract: Prime numbers are deceptively simple yet incredibly powerful. They are the foundation of modern cryptography, securing everything from online ...
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Modular Algorithms for Computation in Simple Algebraic Extension Fields

Modular Algorithms for Computation in Simple Algebraic Extension Fields

Mitchell Holt
The University of Queensland
Abstract: A much-celebrated method for fast algorithms is to do computation on shadows of mathematical objects, instead of on the ...
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Decoding Sound: How Mathematics Helps Phonetic Spelling Correction

Decoding Sound: How Mathematics Helps Phonetic Spelling Correction

Louisa Best
Deakin University
Abstract Have you ever wondered why some people spell words exactly as they sound?  For individuals who tend to spell ...
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Uncertainty in Structural Phylogenetic Analysis

Uncertainty in Structural Phylogenetic Analysis

LI FU ZHANG
The University of Melbourne
Abstract: Nowadays, artificial intelligence is revolutionizing many fields, including mathematics. As an important branch of bioinformatics, phylogenetics, which is the ...
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Deep Learning in Hidden Markov Models

Deep Learning in Hidden Markov Models

Kyan Percevault
The University of Adelaide
Hidden Markov Models (HMMs) have many applications, including in the identification of genes which code for proteins within a sequence ...
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Vertex Operator Algebras and the Monster

Vertex Operator Algebras and the Monster

James Jensen
The University of Western Australia
One of the greatest achievements of modern mathematics is the classification of finite simple groups, the culmination of over 10,000 ...
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Fast and Furious Bayesian Inference!

Fast and Furious Bayesian Inference!

Jack Fewtrell
Queensland University of Technology
Abstract: Mathematical models often have unknown parameters which can be determined by fitting them to data using Bayesian inference methods ...
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The Magnetic Dance of Liquids: How Electromagnetic Forces Shape Fluid Flow

The Magnetic Dance of Liquids: How Electromagnetic Forces Shape Fluid Flow

Ishwarabroto Mridha
Swinburne University of Technology
Abstract Have you ever wondered how magnets can make liquids move? Scientists are uncovering the hidden forces that shape liquid ...
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Tempo-Spatial Analysis of Australian Fuel Price Dynamics

Tempo-Spatial Analysis of Australian Fuel Price Dynamics

Gurushey Deo
The University of Queensland
Abstract: Have you ever driven past a servo in the morning, then looked again at lunch to see the price ...
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“Oh, I could never study maths!”

“Oh, I could never study maths!”

Faith Sawers
The University of Adelaide
Abstract: Maths is a vast and beautiful discipline, with many applications, research, industry, and everyday life. Yet it is often ...
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Feral Pigs, Mosquitoes, and Japanese Encephalitis: A Viral Time Bomb?

Feral Pigs, Mosquitoes, and Japanese Encephalitis: A Viral Time Bomb?

Emma Naumann
James Cook University
Abstract: Japanese encephalitis virus (JEV) is a mosquito-borne disease with potentially deadly consequences for humans and animals. Once considered a ...
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Mathematics is Scary

Mathematics is Scary

Emily Sykes
Macquarie University
Abstract: The vastness and difficulty of mathematics is a big challenge. Embracing the uncertainty associated with learning new things has ...
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Options are very easy to explain, yet very difficult to quantify.

Options are very easy to explain, yet very difficult to quantify.

Billy Bourdaniotis
The University of New South Wales
Abstract Over the Summer Holidays, I investigated pricing models for a specific style of option called American options. I was ...
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Rolling the Dice on Maths

Rolling the Dice on Maths

Bernice Laitly
The University of New South Wales
Abstract: This blog explores my relationship with maths—why I never considered myself a “maths person” (and still don’t!), how I ...
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Why Maths is Awesome

Why Maths is Awesome

Ben Cicchini
Queensland University of Technology
Abstract: While you may not enjoy maths, or think that it is necessary, it plays a vital role in how ...
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The Gauss-Bonnet theorem

The Gauss-Bonnet theorem

Annalisa Calvi
Monash University
Abstract: The Gauss-Bonnet theorem is an interesting and non-trivial classical theorem. It says that surfaces with certain similar properties will ...
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Creating beautiful, intricate patterns with mathematics

Creating beautiful, intricate patterns with mathematics

Akito Koike
The University of Sydney
Abstract Fractals are geometric shapes with detail at any scale. Many fractals are self-similar. What this means is that it ...
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Hidden randomness in Dirichlet’s problem

Hidden randomness in Dirichlet’s problem

Aidan Petrowski
The University of Melbourne
Abstract: Mathematicians and physicists have long been interested in figuring out how heat settles to equilibrium in different media. Usual ...
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Checkmate and Calculations: Embracing the Beauty of Problem Solving Through Chess, Math, and Research

Checkmate and Calculations: Embracing the Beauty of Problem Solving Through Chess, Math, and Research

Aaron Alonso Garcia
La Trobe University
Abstract: In this blog, I share my journey connecting the strategic realms of chess, mathematics, and scientific research. Growing up ...
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The Alternating Sign Matrix Conjecture and The Beauty of Mathematics

The Alternating Sign Matrix Conjecture and The Beauty of Mathematics

Ainsley Nicoll
The University of Melbourne
Something that I have always admired as I’ve learnt mathematics is its amazing ability to connect disparate and seemingly distinct ...
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Finding Questions

Finding Questions

Lekh Bhatia
Australian National University
There is a convincing and prevalent rhetoric that beneath mathematics lies a deep and elegant mystery, and that the questions ...
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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 ...
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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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