معرفی
Prof. G. S. Weiss is a full professor at the University of Duisburg-Essen's Faculty of Mathematics, leading the Analysis of Partial Differential Equations (PDEs) research group. He previously held positions at the University of Tokyo and Heinrich Heine University Düsseldorf. His research focuses on free boundary problems, electrohydrodynamics, and geometric analysis, with significant contributions to obstacle problems and water wave dynamics.
Education: Diplom (1991) and PhD (1993) in Mathematics from the University of Bonn. Professional experience includes roles at the Max Planck Institute and JSPS/Humboldt Fellowships. He served as Dean of the Faculty of Mathematics at Duisburg-Essen from 2020–2022.
Research interests emphasize PDEs, free boundary analysis, and applications to fluid dynamics, with a focus on singularities, regularity theory, and nonlinear phenomena. His work bridges pure and applied mathematics, addressing challenges in mathematical physics and engineering.
Recent articles explore global solutions to obstacle problems, fractional Laplacian applications, and neural network training via gradient flows. His research group actively collaborates on topics like water waves and ReLU neural network optimization.
Advising includes doctoral students such as Anthony Salib and Simon Eberle. The research group maintains an active presence in international conferences and publishes in top journals like Annals of Mathematics and Communications on Pure and Applied Mathematics.
