Sometimes mathematical models can lead research in new directions. When Maxwell described electromagnetism in his four equations, it led to a revolution in telecommunications. Researchers now believe that the same thing is about to happen with an advanced form of mathematics, topology, which describes topological material. These materials may provide a foundation for future quantum computers, since their quantum mechanical properties make them extremely resistant to disturbances.

Emil Bergholtz is developing mathematical theories for how this can be achieved, and for understanding the properties of new types of topological materials. One important aim is to produce materials that can robustly house non-Abelian anyons, a type of exotic particle that can only exist in extremely thin layers of material, and which is characterized by topological quantum numbers. Dr. Emil Bergholtz is a researcher at Freie Universität Berlin, as Wallenberg Academy Fellow he will be based at Stockholm University.

“The funding will make it possible for me to move my research group to Stockholm for long-term exploration of exciting and fundamental questions within the theory of quantum particle systems. The research combines several seemingly different strongly developing research areas, from material science and quantum optics to the theory of topological phases and modern mathematics. At the same time there is a potential for building a foundation for future technology”, says Emil Bergholtz.

## About Wallenberg Academy Fellows:

Wallenberg Academy Fellows is a program to support some of Sweden’s – and the world’s – most promising young researchers within medicine, natural sciences, engineering sciences, humanities and social science. The five year grant gives the most promising young researchers a work situation that enables them to focus on their projects and address difficult research questions. Of the 29 new Wallenberg Academy Fellows 2015, three will conduct their research at Stockholm University.