UCLA Mathnet Login

The question is deceptively simple: Given a geometric space — a sphere, perhaps, or a doughnut-like torus — is it possible to divide it into smaller pieces?

Ciprian Manolescu

Wave equations help describe waves of light, sound and water as they occur in physics. Also known as partial differential equations, or PDEs, they have valuable potential for predicting weather or earthquakes, or certain types of natural disasters...

UCLA's Terence Tao

As more police are equipped with cameras on their bodies to capture footage of interactions with the public, a group of researchers at the University of California, Los Angeles, has been given permission to study video and audio streams from one police department to learn how best to prevent...

Some police are now using wearable cameras to record interactions with the public. The one shown here was made by a company called Vievu.
Marcus Roper

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Breakthrough Prize