Topology, which you won’t find defined in the ordinary dictionary, was on the tip of mathematical tongues at the Columbus science meetings. This new geometry is as popular with the mathematicians as ...

Knot theory is the mathematical branch of topology that studies mathematical knots, which are defined as embeddings of a circle in 3-dimensional Euclidean space, R3. This is basically equivalent to a ...

• There are three possibilities for the curvature of the universe: space can be flat, spherical or hyperbolic • The geometry of the universe depends on its curvature and also on its topology, which ...

Yakov Matevich Eliashberg and Helmut Hofer are amongst the leading re-searchers in the area of mathematical topology. Their pioneering contributions have expanded this basic research discipline with ...

Manuscript in preparation. Kramer, Linus. Metric aspects of euclidean buildings. Lecture Notes from the Winter Meeting 2015 on Bruhat-Tits Buildings at Imperial College, London. Kramer, Linus. Notes ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics. Standing in the middle of a field, we can ...

How to ‘See’ the 4th Dimension with Topology Mathematician Maggie Miller explores the strange and fascinating world of 4D topology — the study of shapes, or manifolds, that resemble flat Euclidean ...