Servicenavigation

Project Details

Index

Projekt Print View

EXC 2044:  Mathematics Münster: Dynamics – Geometry – Structure

Subject Area Mathematics
Term since 2019
Website Homepage
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 390685587
 
Mathematics Münster advances cutting-edge research by implementing integrated approaches to solve fundamental problems across various mathematical disciplines. These approaches combine different techniques, perspectives, or fields of expertise to address challenges compre- hensively. Guided by the three unifying principles Dynamics–Geometry–Structure, we thoroughly analyse how mathematical objects dynamically evolve, consistently adopt a geometric perspective, and identify deeper, often hidden structures behind specific problems. We focus on ten research topics, each spanning multiple mathematical fields and uniting many researchers. These topics are organised in three areas: Invariants and Foundations, Non-linear Spaces and Operators, and Models, Approximations and Data. Specifically, we explore the interplay between algebra and topology to advance K-theory, the (local) Langlands programme, and central open questions in C*-algebras. Using tools from mathematical logic, we build models and investigate their interactions with arithmetic geometry. By transferring methods between differential geometry and the analysis of partial differential equations, we address fundamental questions in general relativity and geometric analysis. We also tackle mathematical challenges motivated by real-world phenomena, such as analysing field theories with new tools in stochastic analysis or developing mathematical models, their ap- proximations, and data-driven machine learning approaches in the context of random structures and multiscale problems. The Cluster is embedded in and advances an excellent research environment in Münster, interacting with several CRCs and interdisciplinary research centres. Münster is home to renowned mathematicians with outstanding research results. This is documented, for instance, by an Alexander von Humboldt professorship, six recent ERC Grants and five Leibniz Prizes, one of them in 2024. The next milestone will be the foundation of the Centre of Mathematics Münster, hosted in a new research building that is currently under construction on the Maths Campus. The centre will enable us to expand and take our approach to the next level. Our most ambitious structural goal is to implement an integrated approach across mathemati- cal disciplines. This will require us to excel individually, hire top talents in each field, connect mathematical fields and facilitate the transfer of methods. Key measures include establishing two new Bridging the Gaps chairs, creating exchange platforms, and introducing emerging projects and sabbatical programmes. Our early-career programmes, designed to attract top mathematicians and guide them to early scientific independence and successful careers, are central to our hiring strategy. 37 of our early-career researchers have earned a professorship. As diverse perspectives are crucial for successfully implementing our integrated approach, we stress equity, diversity, and internationalisation.
DFG Programme Clusters of Excellence (ExStra)
Applicant Institution Universität Münster
 
 

Additional Information

© 2026 DFG Disclaimer / Copyright / Privacy Policy

Textvergrößerung und Kontrastanpassung