Is the Universe finite or infinite? Is there infinity inside a black hole? Is space infinitely divisible or is there a shortest length? Can infinity occur at all in the cosmos or is it a mathematical construct? Find out more in our podcast with Anthony Aguirre, John D. Barrow and George Ellis.

Cutting the threads of the spacetime fabric and reinstating the aether could lead to a theory of quantum gravity.

To understand how spacetime might have emerged in the early cosmos we need to heat up the equations, and thaw the space and time dimensions.

Space is the stage on which physics happens. It's unaffected by what happens in it and it would still be there if everything in it disappeared. This is how we learn to think about space at school. But the idea is as novel as it is out-dated.

Space is the stage on which physics happens. It's unaffected by what happens inside it and it would still be there if everything in it disappeared. This is how we learn to think about space at school. But the idea is as novel as it is out-dated.

Cosmologists gathered in the Netherlands last week to discuss a new view of the Universe. The Universe as seen by Planck was an international conference to discuss the recently released scientific results from the Planck satellite, including two particularly striking snapshots of the early Universe.

This year's Abel Prize has been awarded to the Belgian mathematician Pierre Deligne for "seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields".

The number pi can be expressed beautifully in terms of infinite sums. For practical purposes though, these sums are rather disappointing: they converge slowly, so you need to sum a large number of terms to get accurate estimates of pi. Here's a clever way to make them converge faster.

Mathematics of Planet Earth 2013 is a year-­long international effort highlighting the contributions made by mathematics in the study of global planetary problems: migrations, climate change, sustainability, natural disasters, pandemics... and in the search for solutions.