I started my research career in high energy theory and enjoy applying methods from this field to problems in condensed matter theory - usually low dimensional strongly correlated systems. I have recently and am currently working in a number of different fields:

• topological materials: I have been studying interactions of Majorana fermions - both a single isolated Majorana fermion at the end of a topological insulator interacting with ordinary electrons and a macroscopic number of Majorana fermions interacting with each other, as can occur in a superconducting vortex lattice on top of a topological insulator
• spin chains: I have been using (1+1) dimensional field theory techniques to study the phase diagrams of both ordinary spin chains and their SU(n) generalization, which are relevant to cold atom experiments. Topological terms occur in the field theories, an observation that was recognzied in the 2016 Nobel Prize to Duncan Haldane.
• quantum computers: I have been collaborating with Prof. Raussendorf and a post-doc on using SU(n) spin chains as qubits
• graphene: I am currently studying the Kondo effect in graphene, resulting from isolated impurities and have previously studied ferromagnetism on the edges of graphene nanoribbons
• entanglement entropy: I have recently worked on entanglement entropy in the 2-channel Kondo model which exhibits interesting non-Fermi liquid behavior