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Personal profile

Biography

I am a vice chancellor's fellow in mathematics at Northumbria University.

My research interests include the theoretical areas of nonlinear waves, pattern formation, dynamical systems, and statistical physics, and the applied areas of metamaterials, nonlinear optics, climate dynamics, and fluid mechanics. I am part of the research group on mathematics of complex and nonlinear phenomena.

My teaching interests include differential equations, linear algebra, multivariate calculus, applied analysis, computational mathematics, and mathematical modeling.

Previously, I held postdoctoral positions at University of Colorado at Boulder, Northwestern University, and University of Chicago, and obtained my PhD in physics at University of California at Berkeley advised by Edgar Knobloch.

My personal website can be found here

My Google Scholar profile can be found here.

Research interests

My research belongs to applied nonlinear mathematics and physical applied mathematics, with focuses on the following three areas. A central theme is the study of nonlinear differential equations via analytical and numerical means.

Nonlinear waves; Metamaterials; Nonlinear optics: I am interested in nonlinear waves in optical and mechanical metamaterials. My prior work focused on nonlinear edge waves in optical and mechanical topological insulators. I have also worked on dispersive shock waves in the KP and 2D BO equations, and self-similar solutions to the 2D hyperbolic NLS equation.

Climate dynamics; Statistical physics; Fluid mechanics: I am interested in meltwater patterns under-represented in climate models. My prior work focused on using statistical physics to explain the geometric characteristics of Arctic melt ponds. I have also worked on some fluid problems including Rayleigh-Bénard convection and Homann stagnation-point flow.

Pattern formation; Dynamical systems: I am interested in spatially localized states in driven dissipative systems. These solutions are often found using dynamical systems methods. My prior work focused on 1D and 2D localized Turing patterns in forced oscillatory systems. I have also worked on Turing-Hopf localized states in the 1D Brusselator model.

Education/Academic qualification

Physics, PhD

1 Dec 201131 Dec 2099

Award Date: 1 Dec 2011

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