Montgomery happened to find strikingly similar behavior in the prime numbers— specifically, the correlations between the ...

An unknot (also known as the trivial knot) can be drawn with any number of crossings. Any possible manipulation of a knot ...

Overview GitHub repos for math provide structured learning from basics to advanced topics.Interactive tools turn complex math ...

Have you read that K-12 education must focus on “critical thinking,” “positive mindset” and “metacognitive skills“? If you ...

This set itself can also be described by a system of equations; the corresponding geometric object is called the Hilbert scheme. Each point on the Hilbert scheme therefore corresponds to a system of ...

DEAR DR. ROACH: A cardiologist recently suggested that I should consider taking a statin because of my “borderline” cholesterol level. So, I took a dive into the details of statin therapy. I learned ...

Your DNA contains millions of genetic variants that interact with each other in ways that affect whether diseases such as ...

This is an amazing discovery for the potential habitability of the moon’s ocean. The Cassini observations have shown that ...

Gravitational waves are energy-carrying waves produced by the acceleration or disturbance of massive objects. These waves, ...

The Nobel Prize in Physics for 2025 honors scaled-up quantum physics—while sidestepping controversies swirling around quantum ...

UC Berkeley emeritus professor John Clarke, UC Santa Barbara professor Michel H. Devoret and UC Santa Barbara professor John ...

The 2025 Nobel Prize in physics has been awarded to a trio of scientists – a Briton, a Frenchman and an American – for their ground-breaking discoveries in the field of quantum mechanics.