List by Author: marianne freiberger

Complex square roots

How to take the square root of a complex number — and discover a beautiful new surface in the process.

Euler's formula

There are a million things in maths named after Leonard Euler. Here's a beautiful formula involving complex numbers.

The Delta variant: What do we know?

As the Delta variant is worrying the UK, researchers from the JUNIPER consortium have published all they know about it.

Tony Hoare: Beyond Quicksort

Imagine a world without computer errors. Tony Hoare, inventor of the famous Quicksort algorithm, is working on making it possible.

Happy birthday Quicksort!

Quicksort is a famous algorithm which celebrates its 60th birthday this year. We explore its clever workings.

Happy birthday Quicksort: Starting with bubbles

Next month sees the 60th birthday of a famous algorithm called Quicksort. Its inventor Tony Hoare told us that it all started with bubbles.

Will the virus escape the vaccines?

Can the virus that causes COVID-19 mutate into a vaccine-resistant strain? And if yes, what would this mean for our vaccination strategy?

Seeing traffic through new eyes

Using artificial intelligence to improve traffic, protecting the environment and human health.

Vaccination: Where do we stand and where are we going?

Where have the COVID-19 vaccines got us so far and where we are likely to be when the rollout is complete?

New perspectives in symmetry

What is group theory and why is it such an exciting area of maths? Two experts explain.

R's not all you needWhen it comes to loosening COVID restrictions all eyes are usually on R — but it's also important to take account of prevalence.
Compound infectionsWhy does the number e appear in models of exponential growth?