On Inverse Shape Problems, Regular Cloaking and Geometric Structures of Transmission Eigenfunctions

Abstract

In this talk, the speaker shall discuss his recent research progress on three different but interestingly connected topics in wave scattering. They are the geometrical inverse problem of recovering the shape of a scatterer, independent of the content, by a minimal number of scattering measurements; the invisibility cloaking by regular mediums; and the geometric structures of transmission eigenfunction.

About the speaker

Prof. Liu Hongyu received his PhD in Mathematics from The Chinese University of Hong Kong in 2007. He then joined the University of Washington as an Acting Assistant Professor before he moved to the University of California, Irvine in 2010 as a Visiting Assistant Professor and a Lecturer/Assistant Professor at the University of Reading. During 2011–2014, he was an Assistant Professor at The University of North Carolina at Charlotte. He joined Hong Kong Baptist University in 2014 and is currently an Associate Professor in the Department of Mathematics.

Prof. Liu’s research interests include inverse problems and imaging, partial differential equations, mathematical materials science, scattering theory, spectral theory, geometric integration for dynamical systems, numerical analysis and scientific computing. He is on the editorial boards of the Inverse Problems and Imaging, the Journal of Korean Society for Industrial and Applied Mathematics and the Contemporary Analysis and Applied Mathematics.

About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/inverseproblems.