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.

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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Numerics in high-dimensional non-linear geometric spaces
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Deep Learning methods for high-dimensional PDEs
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Latest research news

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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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A new puzzle piece for string theory research

Dr. Ksenia Fedosova, postdoc at Mathematics Münster, has, along with two co-authors, 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).

© SPP2298/Christoph Bülte

Best thesis award for Adrian Riekert

Dr. Adrian Riekert, postdoc at Mathematics Münster, has been awarded the "Theoretical Foundations of Deep Learning Best Thesis Award". The prize is presented annually by the DFG-funded Priority Program 2298. Congratulations, Adrian!

© Uni MS/Peter Leßmann

Dov Gabbay Prize for Logic and Foundations 2024 for Ralf Schindler

We are delighted that Ralf Schindler, investigator of Mathematics Münster, and David Asperó (University of East Anglia) were awarded the Dov Gabbay Prize for Logic and Foundations 2024. The jury of the international research prize rewards their work in the foundations of set theory, and in particular their work connecting determinacy principles and so-called strong forcing axioms, both impinging on the nature of the continuum hypothesis.