Kutz Research Group

Research topics: Nonlinear waves and coherent structures
Current Projects: Phase sensitive amplifier; Stability of optical problems; Waveguide arrays; Mode-Locking with passive polarizers; Mathematical neuroscience
Members: Nathan Kutz; Eli Shlizerman; Edwin Ding; Jacob Grosek; Christopher Jones; Pedro Maia; Matthew Williams; Simon Hachey; Kyle Luh; Colin McGrath; (Former Members)
Group Focus: The Kutz research group is interested in a unified approach to applied mathematics which includes modeling, computation and analysis. The area of current interest concerns phenomena in the optical sciences: laser dynamics and modelocking in fiber lasers, soliton propagation and mode-coupling dynamics for optical fiber communications, and pattern formation and stability of optical structures in optical parametric oscillators. Mathematically, the analysis and computation of the above phenomena naturally fall within the context of the methods of contemporary dynamical systems, nonlinear wave propagation, perturbation and asymptotic methods, and bifurcation theory applied to the underlying nonlinear differential equations and partial differential equations.