studying a specific concept in detail, and making new discoveries

was extremely rewarding.”

*Meg Tully, The University of Melbourne
*

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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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