Some of the most significant breakthroughs
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Computation of the K-theory of Z/n
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Shimura varieties and moduli spaces of G-shtukas
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Martin’s Maximum++ implies Woodin’s P_max axiom
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Constructions for sharply 2-transitive groups & model-theoretic approach to perfectoid fields
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Non-linear stability in general relativity
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Proof of the Hopf conjecture under symmetry assumptions
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Proof of cases of the Farrell-Jones conjecture & disproof of the unit conjecture for group rings
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Structure and classification of C∗-algebras
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Research highlights in quantum field theories & stochastic analysis
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New formulas in stochastic geometry
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Stochastic homogenisation of free-discontinuity functionals
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Numerics in high-dimensional non-linear geometric spaces
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Advancing the frontier of model order reduction
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Deep Learning methods for high-dimensional PDEs
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Research

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The aim of research at Mathematics Münster is the implementation of integrated approaches to solve important problems across different mathematical fields. We view mathematical research as an organic whole with countless connections between fields, and specifically promote the development of mathematical methods that lead to cross-disciplinary scientific breakthroughs.

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.

Latest research news

© Harald Sippel
© MM/vl

Von Kaven Prize for Thomas Nikolaus

This year’s von Kaven Prize from the German Research Foundation (DFG) is awarded to Prof. Dr. Thomas Nikolaus. The prize honours mathematicians for outstanding research achievements. Thomas Nikolaus, spokesperson of our Cluster, conducts research in the fields of homotopy theory and K-theory, at the intersection of topology and algebra.

© Uni MS / AG Kiefer/AG Schäfers

German Research Foundation extends the Collaborative Research Centre “inSight”

The Collaborative Research Centre (CRC) 1450 "inSight – Multiscale imaging of organ-specific inflammation" at the University of Münster, which has been running since January 2021, will receive approximately 13 million euros from the German Research Foundation (DFG). The second funding period of four years will start in January 2025. Our researchers Prof. Dr. Christian Engwer and Prof. Dr. Benedikt Wirth are involved as investigators in this CRC. Other members of Mathematics Münster contribute to several "inSight" projects.

© MM/Julia Schleuß

German Research Foundation approves new Research Training Group

The German Research Foundation (DFG) has approved the new Research Training Group "Rigorous Analysis of Complex Random Systems", dedicated to educating mathematicians in the fields of probability theory and applied analysis. The programme will receive more than four million euros in funding for an initial five-year period starting in October 2025. The spokesperson is Prof. Dr. Martin Huesmann.

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Mathematischer Durchbruch inspiriert von der Stringtheorie

Dr. Ksenia Fedosova, postdoc at Mathematics Münster, has, along with Prof. Dr. Kim Klinger-Logan and Dr. Danylo Radchenko, proven a conjecture related to so-called 4-graviton scattering, which physicists proposed for certain equations. The results have been published in the renowned journal "Proceedings of the National Academy of Sciences" (PNAS).