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

© Peter Badge/The Abel Prize

Abel Prize for Gerd Faltings

We congratulate Prof. Dr. Gerd Faltings on receiving the Abel Prize 2026! His ideas and results have reshaped the field of arithmetic geometry. Faltings studied in Münster, where he completed his doctorate (1978) and his habilitation (1981). In 2012, he was awarded an honorary doctorate by the Faculty of Mathematics and Computer Science. Several members of Mathematics Münster describe the impact of Faltings' work on their research and share personal memories. 

© MM/vl

Bourbaki Seminar on the research of Franziska Jahnke and Konstantinos Kartas

A major recognition for Prof. Dr. Franziska Jahnke and Dr. Konstantinos Kartas: On 31 January 2026, research results of the two members of Mathematics Münster will be presented at the "Séminaire N. Bourbaki" in Paris. The internationally renowned seminar series is considered a barometer of current developments in mathematical research.

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. On 29 October 2025, there will be the Opening Colloquium. 

© 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.