معرفی
Prof. Dr. Matthias Erbar is a faculty member in the Faculty of Mathematics at Bielefeld University, where he leads the research group AG Erbar. His work is centered on mathematical analysis, with a focus on optimal transport, gradient flows, and discrete geometric analysis. He is affiliated with the Department of Mathematics and maintains an active research profile with numerous publications in top-tier journals.
His research interests lie at the intersection of analysis, probability, and geometry. He investigates optimal transport on discrete and continuous spaces, gradient flow structures in PDEs and stochastic processes, Ricci curvature on metric measure spaces and graphs, and functional inequalities such as Poincaré and logarithmic Sobolev inequalities. His work often employs entropy-based methods and explores the geometric implications of curvature conditions in non-smooth settings.
The recent publications show a consistent trend toward understanding geometric and analytic properties of discrete systems, including graphs, Markov chains, and configuration spaces. There is a strong emphasis on formulating continuous concepts like Ricci curvature and gradient flows in discrete settings, enabling applications in probability, statistical mechanics, and numerical analysis. The work frequently involves collaboration with leading researchers in the field.
Scientific Awards:
- No awards explicitly mentioned in the provided text.
Prof. Erbar advises doctoral students and leads an active research group (AG Erbar), suggesting engagement in graduate supervision and collaborative research. While specific grants are not listed, his publication output and collaborations imply sustained research funding. He has co-authored papers with researchers across Europe, indicating international collaboration and academic leadership.
He is the principal investigator of AG Erbar, a research group within the Faculty of Mathematics at Bielefeld University. The group focuses on analysis and probability, particularly in the context of optimal transport and discrete geometry. The group likely includes PhD students and postdoctoral researchers, contributing to the broader research environment in mathematical analysis at Bielefeld.
