The propagation of waves in space, such as that of electromagnetic waves in telecommunication, is instrumental to many aspects of science and engineering. Various physical phenomena, such as dispersion or interference of waves, can be understood via a mathematical study of the wave equation that governs wave propagation.
In this talk, we will formulate a number of fascinating mathematical questions concerning wave propagation, and reveal surprising connections to geometry and number theory. Some of these questions remain open, and we will examine some challenges that lie ahead.
About the speaker
Dr Po-Lam Yung studied harmonic analysis at Princeton University under the supervision of Professor Elias M. Stein (Wolf Prize Laureate 1999). He obtained his PhD in 2010, and has since taken up positions at Rutgers, the State University of New Jersey, University of Oxford, and the Chinese University of Hong Kong before being offered a Senior Lectureship at the Mathematical Sciences Institute at the ANU. Dr Yung's research revolves around harmonic analysis and related areas, with particular focus on singular integrals, Sobolev embeddings, time-frequency analysis, oscillatory integrals and Fourier decoupling. His work has been recognized by a Titchmarsh Fellowship from the University of Oxford, an Early Career Award from the Hong Kong Research Grants Council, and a Future Fellowship from the Australian Research Council.