_{Single-excitation quantum optics: analysis and algorithms}

_{ABSTRACT:}

_{Recent progress in experimental quantum optics has facilitated the physical construction of systems of increasing complexity. Of particular importance are experiments involving the scattering of one or two photons from a collection of atoms. In this context, a central question is to understand the time evolution of the entanglement between atoms, mediated by the field.}

_{In ths talk we will discuss analytical results on the properties of these systems, and how those properties depend on disorder or distribution of the locations of the atoms.}

_{BIO: Jeremy Hoskins received a PhD in applied mathematics from the University of Michigan and was a Gibbs assistant professor in mathematics at Yale University.}

_{Research: He is interested in problems at the interface between physics, computation, and mathematics. A major theme of his research is studying the mathematical foundations of problems arising in imaging; particularly what happens in highly-scattering and quantum systems. Along with this, he also works on developing of fast, efficient, and accurate algorithms for solving large scale problems such as those arising in the simulation of complex optical systems. These methods have broad applications in many other disciplines such as signal processing, genomics, acoustics, and medical imaging.}