Topology revealing new states of matter
I will present research on topology. Topology describes the properties of an object when it is deformed, stretched or twisted, but is not torn apart. As an example, a cup and a donut belong to the same topological classification because they can be deformed one into the other without breaking the material. However, a sphere belongs to a different classification, since it cannot be transformed into a donut without creating holes. The application of these mathematical ideas has led to the discovery of new properties in materials that can be exploited for a wide range of applications, such as the development of efficient electronic devices.
