Terry Shang is a third-year student at the University of Sydney, currently studying a degree in Physics and Maths. He is interested in a variety of mathematical fields, in particular differential equations and fluid mechanics, and is hoping to pursue an Honours degree in Physics in the near future.
Hill Equation with Complex Potential
Hill’s equation in the real is a classical subject with many beautiful results. An ongoing study of stability of stationary solutions of the Euler fluid equations on the torus leads to a Hill’s equation with a complex parameter. The goal of the project is to study such a complex Hill’s equation, in particular it’s spectrum when viewed as a differential operator.