#### 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

Martin 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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