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

Research

© MM/vl

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.

Research examples

Browse through the posters!

© MM
  • K-theory via Prismatic Cohomology
    © MM/Nikolaus
  • Moduli of Galois representations
    © MM/Hellmann
  • From algebraicity conjectures to geometric group theory
    © MM/Tent
  • From forcing axioms to the stars
    © MM/Schindler
  • Hopf conjencture
    © MM/Wilking, Wiemeler
  • Singular SPDEs
    © MM/Weber
  • Dilute Curie-Weiss models
    © MM/Löwe, Kabluchko
  • Randomly perforated media
    © MM/Zippieri
  • Multiscale fluid flow
    © MM/ Engwer, Seis
  • Nonlinear model order reduction (MOR)
    © MM/Ohlberger

Latest research news

Start of new Research Training Group

The Research Training Group "Rigorous Analysis of Complex Random Systems" officially starts today. Its aim is to provide young researchers with comprehensive training in the fields of probability theory and applied analysis. For the initial five-year funding period, the German Research Foundation (DFG) will provide more than four million euros.

© SLMath

Mini-course "Stochastic PDEs and Scaling Limits" available now

Talk series by Hendrik Weber at SLMath

Prof. Dr. Hendrik Weber, investigator at Mathematics Münster, is currently spending a research stay at the Simons Laufer Mathematical Sciences Institute (SLMath) in Berkeley, USA, funded by a Clay Senior Scholar Award. As part of the introductory workshop “Kinetic Theory & Stochastic Partial Differential Equations”, he gave a mini-course on “Stochastic PDEs and Scaling Limits”. The video recordings are now available.

© Uni MS/Johannes Wulf

Excellence confirmed: "Mathematics Münster" receives continued funding

Great joy at Mathematics Münster: Today, Thursday (22 May), the German Research Foundation (DFG) and the German Science and Humanities Council (WR) announced that the Cluster of Excellence "Mathematics Münster: Dynamics - Geometry - Structure" will be founded for a further seven years from January 2026. This makes the Cluster one of 70 research centres at German universities that are being funded in the "first funding line" of the Excellence Strategy. They prevailed in the competition with a total of 98 applications.

© MM, ICM 2026

Ralf Schindler and Katrin Tent invited to speak at ICM 2026

Prof. Dr. Ralf Schindler and Prof. Dr. Dr. Katrin Tent, both investigators at our Cluster of Excellence Mathematics Münster, have independently been invited to present their research at the prestigious International Congress of Mathematicians (ICM) being held in in Philadelphia, USA, in July 2026. In short interviews, you will learn what the invitation to the ICM means for the two researchers and gain an insight into the fields of research and the topics of the ICM talks.