From Granular to Nano: Big Science at Small Scales – with Prof Natalie Thamwattana

In this episode of The Random Sample, we explore the science of scale – from the behaviour of granular materials to the remarkable world of nanotechnology. Professor Natalie Thamwattana, an applied mathematician from the University of Newcastle, shows how studying the very small can lead to big ins…

Tracking the Spread of Vaccine Hesitancy - with Prof Stacey Smith?

Mathematics is often used to model how diseases spread. But what about the spread of information – or misinformation – about those diseases and their vaccines? Professor Stacey Smith? from the University of Ottawa is a trans mathematician whose research focuses on modelling infectious diseases. In…

What Maths can tell us about Women's Health - with Prof Alys Clark & Dr Claire Miller

Mathematics is not often associated with women’s health, yet the mathematical sciences are playing an increasingly important role in understanding pregnancy, reproductive health, and chronic conditions that disproportionately affect women. Professor Alys Clark and Dr Claire Miller, both from the A…

Game Theory: The Mathematics of Strategic Choices - with Dr Maria Kleshnina

Each year, the L’Oréal-UNESCO For Women in Science Program recognises a small number of exceptional female early‑career researchers in Australia and New Zealand with a prestigious fellowship. In 2025, for the first time since the program began in 2007, the award went to a mathematician: Dr Maria Kl…

The Kalman Filter: The Mathematics of Knowing Where You Are

The Kalman filter is a hidden mathematical tool with an enormous impact on our daily lives. Most people have never heard of it – yet it quietly powers everything from spaceflight and aviation to our GPS, smartphones, and wearable devices. Developed in the late 1950s and early 60s, the Kalman filt…

Maths Meets Biology: Inside the Mission to Model a Living Cell - Part 2

Scientists are generating more biological data than ever before, and new technologies now allow us to peer inside the cell in ways we couldn’t have imagined a decade ago.  But even the most advanced tools can’t explain how a living cell actually works as a complete system. That’s the challenge at …

Maths Meets Biology: Inside the Mission to Model a Living Cell - Part 1

Understanding a living cell is one of the biggest challenges in modern science. Cells carry out an extraordinary number of tasks every second and understanding how all those processes fit together is central to biology. But even with advanced experiments and mountains of data, scientists still don…

From Surveys to LLMs: The New Era of Social Data – with Professor Frauke Kreuter

Technology is transforming how we understand society. For decades, researchers relied on surveys to learn about populations. But today, data comes from everywhere - administrative records, social media, and even fitness trackers. In this episode, we explore this shift with Professor Frauke Kreuter…

Multi-Source Data & the Evolution of Official Statistics - with Dr Anders Holmberg

For decades, surveys have been the backbone of official statistics - helping us measure everything from population trends to economic activity. But response rates have been falling dramatically across the world for the past few decades. This decline is forcing statistical agencies to rethink how th…

Making the Invisible Visible: The Global Hackathon Against Modern Slavery

Modern slavery is often hidden in corporate supply chains, making it hard to detect and eliminate. Countries like Australia now require companies to publish annual reports on their efforts to combat slavery - but with thousands of reports, no government can read them all. That’s where Project AIMS…