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

When it comes to loosening COVID restrictions all eyes are usually on R — but it's also important to take account of prevalence.

Why does the number e appear in models of exponential growth?

We can't say for sure, but everything depends on how many people agree to be vaccinated.

Modelling shows that old and vulnerable people should be prioritised.

Like any medical drug, vaccines are tested in large-scale randomised controlled trials.

The efficacy of vaccines is estimated from trials, using statistical techniques.

Because the vaccine may not stop transmission of the virus.

Yes the approved vaccines are safe. If you balance the risks, then taking the vaccine is much safer than taking your chances with COVID-19.

Holly Krieger has won a Whitehead Prize for work that combines number theory and dynamical systems.

Maria Bruna has won a Whitehead Prize for finding a systematic way of simplifying complex systems.