We asked mathematicians to choose their favorite shapes and surfaces and tell us why they find them so exciting and ...

Chirality—the property of an object that is distinct from its mirror image—has long captivated scientists across biology, ...

Symmetry is very important in nature, as it underlies conservation laws. So, when symmetry is broken, there is always ...

Molding the flow of light—whether confined to localized regions or propagating in free space—remains crucial for modern ...

Topology is a branch of mathematics that describes properties that only change in steps and not continuously - the properties remain intact when an object is stretched, twisted or defor¬med, but not ...

In the mathematics literature, there is remarkable unanimity as to what constitutes a topological property: one that is unchanged by bending or twisting the object in question. Hence the joke that ...

A Princeton team uncovered a surprising chiral quantum state in a supposedly non-chiral material, shedding light on elusive ...

A topological insulator is an insulating material that allows electric charge to flow along its boundary in spin-polarized channels that are topologically protected from impurity scattering. The ...

Before coming to Smith, Patricia Cahn was a Hans Rademacher Instructor at the University of Pennsylvania and a postdoctoral fellow at the Max Planck Institute for Mathematics. Her research is in ...

Recently though, rapid progress in the research on so-called spatiotemporal crystals, objects with repeating ... Price of the University of Birmingham: "Topology, a perhaps rather abstract but ...

Chirality — the property of an object that is distinct from its mirror ... Researchers have seen a similar phenomenon in non-topological systems, but this is the first time that such chiral ...