Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to design secure sensor networks, mine data or use origami to deploy ...

For example, the surface of a giant doughnut is another 2D space. Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to ...

For example, the surface of a giant doughnut is another 2D space. Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to ...

As a supercoiled structure can be classified using a topological index — the linking number — this conflation of geometry with topology is understandable. White's theorem 6 states that the ...

Researchers have solved a long-standing problem in topology by helping classify four-dimensional shapes (4-manifolds) that ...

Geometry, Algebra, and Topology are pure mathematics and essential to modern mathematical research. In the MAST programme, we study topics such as Riemannian geometry, algebraic topology, and ...

Whether trying to design secure sensor networks, mine data or use origami to deploy satellites, the underlying language and ideas are likely to be that of topology. The shape of the universe ...

While you don’t need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

What shape do you live on? Geometric topology is a beautiful and complex subject, and there are still countless exciting questions to answer about spaces. For example, the smooth 4D Poincaré conj ...

That is, what other spaces around you are 2D? For example, the surface of a giant doughnut is another 2D space. Through a field called geometric topology, mathematicians like me study all possible ...