Humboldt Fellow Dr. Yi-Hsuan Lin
How mathematics decodes the hidden
- 19.02.2025
Inverse problems and their applications are being researched by Dr. Yi-Hsuan Lin from the National Yang Ming Chiao Tung University (Taiwan). He is a guest of Prof. Dr. Irwin Yousept in the Department of Mathematics for 18 months. Lin's stay is funded by a research fellowship for experienced researchers in the Humboldt Foundation’s Henriette Herz Scouting Program.
Put simply, inverse problems investigate how one can deduce the internal properties of a system from external measurements. Take magnetic resonance imaging (MRI), for example: it does not capture images directly, but magnetic signals from the body. Mathematical methods are used to reconstruct the internal structures of the body from these signals. Because inverse problems are difficult to solve, mathematicians like Dr. Lin develop special methods. In addition to medicine, inverse problems also occur in technology and physics.
“It's not easy to describe what I do in general terms,” says Dr. Lin. “Because a large part of my research involves very difficult mathematical analyses.” His basic research involves non-local and non-linear equations as well as homogenization. “I am particularly interested in the entanglement principle of quantum mechanics.In this phenomenon, two particles remain connected even when they are far apart,” says Lin. “Recently, we investigated the entanglement principle for the fractional Laplacian. This captures interactions between distant points of a system.”
Dr. Yi-Hsuan Lin studied mathematics at the National Taiwan Normal University. After receiving his doctorate (2016), he conducted research for several years as a postdoctoral fellow at several universities: the Hong Kong University of Science and Technology, the University of Washington, USA, and the Finnish University of Jyväskylä. Since 2019, Dr. Lin has been Assistant Professor at the National Yang Ming Chiao Tung University in Taiwan. At UDE, he is employed as a tenured associate professor.
For more information:
Ass. Prof. Yi-Hsuan Lin, Ph.D., yihsuanlin3@gmail.com