Johannes Agerskov Schiødt, PhD student
Johannes started as a PhD student on 1 October 2019 at the section for Geometric Analysis and Mathematical Physics. He will be working with the Centre for the Mathematics of Quantum Theory (QMATH). Jan Philip Solovej will be his supervisor.
Johannes has his Bachelor's and Master's degrees from the Niels Bohr Institute, University of Copenhagen. His master's thesis entitled "One-loop Yang-Mills from the CHY formalism" explored scattering amplitudes in Yang-Mills theory in the framework of the formalism developed recently by Cachazo, He, and Yuan (CHY).
In his thesis, Johannes developed a method for going from tree level (0th order) to one-loop level (1st order) in the usual perturbative expansion of the scattering amplitude. His master's supervisor was Emil Bjerrum-Bohr.
Johannes’ PhD project will investigate gases of particles in two and three dimensions exhibiting point- or scale-invariant interactions. Specifically, he will investigate the stability of the Fermi gas with point-interactions in two and three dimensions. It is a known result that the Bose gas with point-interactions and positive scattering length is unstable. The Fermi gas, on the other hand, is expected to be stable; however, this has not been mathematically established in the most general case.
In addition to the Fermi gas, Johannes will during his project study the 2-dimensional anyon gas. Anyons are neither bosons nor fermions. They exhibit instead intermediate statistics as they are described by representations of the braid group. It is a known result that the Abelian anyon gas is stable, however other physical quantities such as the pressure is not well understood. It will thus be part of his PhD project to study these quantities. Finally, he will also study non-Abelian anyons gasses and their stability.
You can meet Johannes in office 04.0.07.