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The COVID-19 emergency resulted in some amazing mathematical collaborations.

The COVID-19 pandemic has amplified the differences between us. Understanding these inequalities is crucial for this and future pandemics.

Now it's the turn of mathematicians to help to improve the communities of the future.

How long does it take for one person to infect another?

Can you capture people's behaviour in epidemiological models?

How can sporting events, concerts, or festivals be kept safe in the face of rising COVID-19 infections?

Could COVID-19 change our expectations for clear air indoors?

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

New research shows that ventilation is crucial and that masks are effective.

How can we all get back to work safely in the face of a lingering pandemic?

Mathematical models can help the nation return to (some sort of) normality.

How far can virus-carrying droplets fly in different environments — from buses to supermarkets? Maths can provide some answers.