For 50 years, evolutionary theory has emphasized the importance of neutral mutations rather than adaptive ones at the level of DNA. Real genomic data challenges that assumption.

Alexander Smith’s work on the Goldfeld conjecture reveals fundamental characteristics of elliptic curves.

Using a new CRISPR-based technique, researchers are examining how the position of DNA within the nucleus affects gene expression and cell function.

A new proof from the Australian science fiction writer Greg Egan and a 2011 proof anonymously posted online are now being hailed as significant advances on a puzzle mathematicians have been studying for at least 25 years.

The astrochemist and winner of the 2018 Kavli Prize in Astrophysics has wondered about the cosmic origin of water while enjoying Noordwijk beach near her hometown of Leiden.

A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?

Hot spots have been discovered orbiting just outside the supermassive black hole at the galaxy’s center. Their motions have given us the closest look at that violent environment.

As chemists tie the most complicated molecular knot yet, biophysicists create a “periodic table” that describes what kinds of knots are possible.

Odd enough to potentially model the strangeness of the physical world, complex numbers with “imaginary” components are rooted in the familiar.