“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
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
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
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?
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?
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
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
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
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’
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
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
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
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
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
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
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
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
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!
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
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
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
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?
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!
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
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
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
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
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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Electrodynamics and fluid mechanics might not necessarily sound like two fields with much overlap at first glance, but the range of practical scenarios in this area might be surprising. One such situation is mixing fluids without mechanical interference. Why not just mix with a finger or a spoon? well, that’s effective – except when mixing molten steel at 1500°c, where mechanical interference becomes less desirable
Rakindu Wickramarathne
Swinburne University of Technology
A technique used in these kinds of situations is EMS, or Electromagnetic Stirring. The idea is to induce motion in ...
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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
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
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
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?
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?
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??
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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?
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?
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
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
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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Gloyping Into Gloyperville
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?
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
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
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
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
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
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
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
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!
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?
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
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?
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
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
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
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
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
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
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
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
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
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
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
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
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?
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?
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?
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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?
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
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?
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
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
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
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
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
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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Bayesian Statistics and the Intuition Behind Thinking in Context
Meg Tully
The University of Melbourne
My blog post briefly summarises an interesting example used to teach students about application of conditional probabilities—the high rates of ...
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Influence Online
Bridget Smart
The University of Adelaide
Fake news, misinformation, echo chambers—recently, these words have been popping up in our news articles. But what do they mean ...
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The Joys and Pains of Real Data
Liam Blake
The University of Adelaide
Experimental data allows mathematicians to verify their results and understand and predict the world around us. However, real data brings ...
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My Maths Journey
Ngoc Phuong Van Nguyen
Swinburne University of Technology
I have been studying and have interest in mathematics since the age of seven years old. I continuously achieved many ...
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How I Became a Mathematician
Joshua Rogers
Swinburne University of Technology
Mathematics isn’t something that many people choose to do, but it is a necessity of life. From counting change at ...
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My Journey in Maths
Eamonn Kashyap
RMIT University
Maths has been in my life in many forms over the years, throughout primary school, high school, leisure, and university ...
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My Vacation Research Scholarship Summer Project
Cameron Mclaren
RMIT University
I feel that this research project has broadened my horizons. I have wandered through the desert of coursework and have ...
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Don’t Be Afraid of Maths!
Angus Walsh
RMIT University
While I was homeschooled I was free to direct my own learning. One of my hobbies was card games, and ...
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How Mathematics Became My Personality
Montana Wickens
Queensland University of Technology
A raw recount of my childhood encounters with mathematics and how small, insignificant events made huge impacts. By the age ...
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Inference for a Complex World
Abhishek Varghese
Queensland University of Technology
A quick glance at the United Nations list of global issues here shows us the myriad of complex and diverse ...
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Making Elective Surgery More Equitable and Transparent
Jack Powers
Queensland University of Technology
Elective surgery is a fundamental part of any modern-day health care system. If a patient requires elective surgery in the ...
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A Tale of Two Disciplines
Monica Seeber
Murdoch University
Some people think philosophy and mathematics don’t mix. Those people are wrong. By the time I began my final year ...
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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 Journey Towards Mathematics
Jiayu Li
Monash University
I grew up with the doubts about my ability to do maths as a girl by hearing the voices from ...
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Why I Make My Life More Problematic
Jacob Vandenberg
Monash University
Since restrictions have lifted, I have had the chance to do an escape room with a few of my friends ...
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Can Machine Learning Predict Complex Time-Series Models?
Gaurangi Gupta
Macquarie University
We know humans learn from their past experiences and machines follow instructions given by humans, but what if humans can ...
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Exploring Exotic Probability Theory
Ashley (Yannan) Lin
Macquarie University
It is universally acknowledged that the Kolmogorov probability axioms are the foundations of classical probability theory. The first axiom states ...
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Where Finance and Mathematics Come Together
Peter Nguyen
Macquarie University
Mathematics exists everywhere around us. Almost all greatest achievements of mankind have been built on the foundation of Mathematics, more ...
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Fighting Viruses with Numbers?
Kristian Caracciolo
La Trobe University
Whenever science is mentioned in the context of viruses and disease, it’s likely that the first image that comes into ...
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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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Where Mathematics Meets Biology
Susanna Grigson
Flinders University
Mathematics is valuable to our understanding of the living world around us. Throughout history mathematics has been used to solve ...
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Our World Is a Function
Bob La
Deakin University
No! Really! This world can all be considered as a function if you think deeply enough. After all, in the ...
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My Mathematical Journey
Ponpot Jartnillaphand
Curtin University
When I was in elementary school, I took extra tutorial classes of mathematics as I found mathematics interesting. Mathematics generally ...
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The Complexity of Entanglement
Nick Bermingham
Australian National University
Entanglement as a concept is simultaneously plainly obvious and quite abstract. Anyone can look at an object or a drawing ...
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How I Became Interested in Mathematics
Pavel Stoilescu
Australian National University
Although I now spend the majority of my waking hours doing something mathematics-related, this wasn’t always so; mediocre high-school teachers ...
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Maths to Physics and Beyond
Lucky Antonopoulos
RMIT University
At the age of 17 years old, I had begun to find interest in mathematics and the sciences, thanks to ...
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Bouncing Balls on Oscillating Tables
Julian Ceddia
La Trobe University
I know what you’re thinking… “Bouncing balls? Bouncing balls on oscillating tables? Err.. ok… cool project man. Take the easy ...
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Groups and Abstraction
Rohan Hitchcock
University of Western Australia (The University of Melbourne)
Consider a square. How can we transform the square so that its shape doesn't change? One way we can do ...
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Researching NLP Techniques
Daniel Stratti
Western Sydney University
I enjoyed the AMSI Vacation Research Scholarship project. It allowed me to explore the mathematical formulation of a wide array ...
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Why I Became Interested in Mathematics
Luke Robinson
University of Western Australia
I became interested in mathematics halfway through my first year at University. I had originally planned to do a Bachelor ...
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Group Theory
Aaron Jenkins
University of Western Australia
Group theory is an important topic in pure mathematics that has many different applications. Examples of mathematical groups are all ...
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Identifying Influential Molecular Factors of Wheat Genomes
Timothy Chapman
University of Western Australia
Wheat is the world's most prevalent food source. An improved understanding of how molecular parameters affect the physical characteristics can ...
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Inner Product Spaces on Subsets of the Powerset of Riemannian Manifolds
David Perrella
University of Western Australia
The original title for this project was “Subsets of the powerset of R^n as inner product spaces”. Meaning I wanted ...
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Stochastic Differential Equations
Rory Jacques
University of Technology Sydney
When we hear symmetries we think of geometry. A symmetry of a shape is a manipulation or transformation of the ...
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What I Wish I’d Known
Alexander Hiller
University of Technology Sydney
There are three realisations I have come to me over my summer of research that I wish I knew at ...
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Machine Learning in the Age of Big Data
Alex Oakley
University of Tasmania
The amount of data in the world is growing exponentially. The question is, can we use machine learning to find ...
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Why I Study Maths
Nicholas Maurer
University of Queensland.
How did I end up studying mathematics? What are some of the lessons I have learnt along the way? This ...
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The Rise of Machine Learning
Jonathan Wilton
University of Queensland
When the topic of Machine Learning arises, it is often accompanied by topics such as artificially intelligent terminator robots taking ...
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How Best to Model Diffusion?
Dylan Green
University of Wollongong
What is diffusion and how can it be described using mathematics? While scientists and mathematicians have put a lot of ...
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The Galerkin Method
Dean Noble
University of Wollongong
This blog post was written in February of 2020. The post introduces and explains the purpose of the Galerkin method ...
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Fredholm Operators
Dion Nikolic
University of Wollongong
Throughout this project I studied Fredholm operators (a certain subset of bounded linear operators) and used them to study the ...
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Pure Maths and Computer Science
Amelia Lee
University of Wollongong
Pure mathematics and computer science intersect more than the people in either field would have you believe. As a software ...
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Bragg Edge Neutron Strain Tomography
Thomas Vandenberg
The University of Newcastle
Weaknesses in materials can arise from a variety of sources. If too much force or heat is applied to a ...
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What We Can Learn From Effect Size
Mikayla Goodwin
The University of Newcastle
In simple terms, effect size is the quantifiable differences between two population parameters. While frequently overlooked in many statistical readings, ...
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“So What Have You Actually Been Doing as a Mathematics Researcher?”
Luke Yerbury
The University of Newcastle
I have been in pursuit of answers to difficult questions throughout the course of this summer research project. When not ...
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Time-Series Analysis
Thomas McCarthy McCann
The University of Newcastle
A time series is a collection of random variables indexed according to the order in which they are observed in ...
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Symmetry Actions
Jack Berry
The University of Newcastle
The concept of symmetry gives rise to a pervasive field of interest within the mathematical community with direct applications to ...
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Connected Graphs
Aditya Joshi
The University of Newcastle
A graph is a collection of nodes (called vertices), some of which are joined together by edges. Connected simple graphs ...
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Approximation
Zhou Dai
University of New England
Maths is about approximation. Starting by Calculus, Maclaurin and Taylor series are about how to approach or estimate a function ...
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Curve-Shortening Flow and Grayson’s Theorem
Nicholas Garrett
University of New England
Over the course of my project, what I found was most interesting was all the unexpected interconnections and relations that ...
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Modelling Language Representations
Ana-Maria Vintila
University of New England
Vast amounts of knowledge are trapped in presentation media such as videos, html, PDFs, and paper as opposed to being ...
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Research Project Takeaways
Yee Chin
The University of Sydney
Hello! This project was my first real Mathematics research project, so I’m excited to tell you about my experience working ...
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What Is Mathematical Research, Anyway?
Tony Wang
The University of Sydney
For many years, and even now, the world of mathematical research was shrouded in mystery. What do people work on ...
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Permutations
Steven Condell
The University of Sydney
Permutations are interesting mathematical objects, with many different applications. One use of permutations is as a tool for encrypting secret ...
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Mademoiselle Who Bid Science Farewell Back to Sell Single Cell
Samantha Chew
The University of Sydney
Having given up all science subjects since the beginning of university, doing a research project about precision medicine was quite ...
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The Emotive Qualities of Mathematics
Fern Gossow
The University of Sydney
The abstract artist Agnes Martin once lamented: ‘from music people accept pure emotion, but from art they demand explanation’. A ...
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Not Everyone Dreams in Mathematics
Kenneth Guo
The University of Sydney
Not once have I ever drifted off while thinking about a problem and woke up with the solution. Not once ...
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A Short Journey Through My VRS Project
Cameron Eggins
The University of Sydney
A short journey through my VRS project, including all my difficulties and achievements. While the project did not go as ...
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Modelling T-Cell Proliferation
Holly Casey
Swinburne University
Over the summer I was given the opportunity to study T-cell proliferation using an original model I wrote in MATLAB ...
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Human Computer
Stephanie Fuser
RMIT University
I just heard the news that Katherine Johnson had died a few days before writing. For those who are not ...
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Why I Am Learning as Much Mathematics as Possible
Bayan Khalili
RMIT University
We live in an era of “fake news” and false advertising. But then again, fake news has a LONG history, ...
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My Journey Through Mathematics
Stefano Giannini
Queensland University of Technology
I have always been interested in mathematics, as a young primary school student mathematics was simple arithmetic, that is, addition, ...
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Lattice Frames for Artificial Skin
Reuben Hill
Queensland University of Technology
3D printing is a relatively new invention that could prove to be the next printing press when it comes to ...
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Advanced Bayesian Statistical Inference Methods for Simulation-Based Models in Cell Biology
Michael Carr
Queensland University of Technology
Understanding the parameters which govern the cell cycle and spread of cells has wide impacts in many areas. One being ...
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The Journey to Enlightenment Through Mathematics
Joshua Wilson
Queensland University of Technology
What does mathematics mean to me and my life? I discuss how my journey with mathematics has led me to ...
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Diffusion-Decay Problems
Jonah Klowss
Queensland University of Technology
You might wonder why your coffee cools down more in the first 5 minutes after you’ve made it than it ...
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My Journey Towards Research
Caren Rattray
Queensland University of Technology
I chose the Bachelor of Mathematics at QUT for several reasons. Primarily because my OP was above the prerequisite, and ...
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How to Get the Most Out of Electropherograms
Louise Branch-Smith
Murdoch University
A DNA profile is valuable to eliminate certain persons of interest from a forensic case. They do not prove that ...
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Refining Clinical Thresholds for Diagnosing Equine Pituitary Gland Dysfunction
George Malone
Murdoch University
After a spur-of-the-moment decision to apply for the AMSI Vacation Research Scholarship, this student learned about a long-known condition in ...
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What Is the Dimension of a Network?
Will Veenman
Monash University
My research focused on answering what the typical metric dimension of a network is by probabilistic methods. Networks are structures ...
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Four Vertex Theorem and Its Converse
Jia Jia Qian
Monash University
Curves are fundamental objects in differential geometry. The simplest examples are ones which lie in a plane; curves that we ...
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The Finite Element Method
Connor Mallon
Monash University
This blog intends to introduce the general ideas behind the finite element method as a means of finding numerical solutions ...
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Game Theory
Baihe Zhang
Monash University
As a student now embarking on the way to researching in mathematics, I gradually find that I would not make ...
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Modelling Gene Expression Data
Yong See Foo
The University of Melbourne
My summer research consisted of comparing the performance of different statistical methods for sparse factor models. Sparse factor models are ...
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How I Came to Study Fluid Mechanics
Matthew Walker
The University of Melbourne
To quote the great David Byrne, ‘how did I get here?’ Did mathematicians always want to be mathematicians? Well, some ...
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My Research Project
Kulunu Dharmakeerthi
The University of Melbourne
A brief introductory note into the contents of my AMSI research. We discuss the motivation for the project, as well ...
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Betting on Maths
Matthew Hanna
Macquarie University
Everyone has their lovingly reminisced tale of their first love with mathematics. Mine is a little different. A bet made ...
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The Rewards of Maths
Grace Klimek
La Trobe University
My research project was on Group Theory and tiling problems. I had quite a bit of fun working on it, ...
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There Is Always a Faster Way to Perform Your Calculations
Daniel Roberts
La Trobe University
My project looked at the risks of refusing vaccination. One of the things I came to appreciate was the importance ...
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The VRS Journey
An Ky Duy Nguyen
La Trobe University
Mathematics has not always been my passion; in fact, quite to the opposite. I used to hate Maths during my ...
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My VRS Experience
Aidan Brohm
La Trobe University
Last year I finished my 2nd year of studies and up until that point I had never had an experience ...
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Programming and Mathematics
Duong Thuy Dung Le
Deakin University
Mathematics was a nightmare for me when I was in secondary and high school. I have chosen programming as my ...
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The Stable Marriage Problem
James Morgan
The Australian National University
Can we always pair two groups of people together in such a way that there is no mutual incentive for ...
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A Topos? Puzzles!
Yuchen Jiang
The University of Adelaide
Take a moment and think about your childhood science classes. Remember how your teacher showed you how to make batteries ...
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PDE Discovery with Machine Learning
Sean McGowan
The University of Adelaide
In science, engineering and mathematics we often seek models of real-life dynamics to better our understanding and help predict behaviour ...
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Entropy, Elvish and the New Testament
Megan Crossing
The University of Adelaide
Abstract: Have you ever wondered how realistic Tolkien’s languages really are? Or how might they differ statistically from natural languages? ...
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Fixing Sore Knees: Mechanics of Articular Cartilage
Lin Jiang
The University of Adelaide
Articular cartilage is a mechanically strong tissue found in joints (knee, hip) that acting as a lubricating surface to prevent ...
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Modelling Electrospun Fibres Using Differential Equations
Jesse Tonkin
The University of Adelaide
Mathematical modelling involves an incredible range of powerful techniques that can be used to describe and predict real-world phenomena. One ...
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Mathematical Modelling of Post-Transcriptional Regulation of Gene Expression
Eunice Blessica Yuwono
The University of Adelaide
Mathematical Modelling of Post-Transcript…”, what does the title even mean? Read on to decipher the title as well as to ...
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Using Mathematics to Untangle World War One Documents
Christina Tait
The University of Adelaide
Abstract As a student who has studied both mathematics and history it has become quite apparent that the two subjects ...
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Do the rich get richer on Reddit?
Alexander Lai De Oliveira
University Of Adelaide
Until starting the Vacation Research Scholarship, I had only used MATLAB and R when writing code. At the recommendation of ...
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