International Conference

We cordially invite you to attend our international conference on Order and Disorder in Random Geometries: Hyperuniformity and Topological Data Analysis, Reisensburg, Ulm, Germany – 6–10 July 2026.

We are pleased to bring together leading experts in hyperuniformity and topological data analysis to foster new breakthroughs in theory and applications.

Hyperuniformity is a multifaceted concept with profound implications across mathematics, physics, and statistics. Its study not only deepens our understanding of ordered and disordered systems but also opens new avenues for designing advanced materials and analyzing complex data structures. By exploring the interplay between hyperuniformity and topological data analysis, this conference showcases the power of interdisciplinary approaches in tackling both fundamental and applied scientific challenges.

A hyperuniform point process can be isotropic and locally disordered, yet at large scales it becomes homogeneous, akin to a lattice, in a mathematically rigorous sense. The asymptotic variance of the number of points in a spherical observation window vanishes for large radii, leading to anomalous suppression of large‑scale density fluctuations. This property endows hyperuniform materials with exotic physical features, such as isotropic photonic band gaps that provide unprecedented control over the propagation of light.

In topological data science, persistent homology serves as a sensitive tool for uncovering the large‑scale organization of complex systems. Recent studies have identified distinctive topological signatures in hyperuniform systems. This workshop aims to bridge the communities and generate fresh insights into key aspects of hyperuniformity by fostering collaborations among researchers in probability theory, applied topology, stochastic geometry, spatial statistics, physics, and materials science. 

The conference is organized by the University of Ulm and is supported by the German Aerospace Center (DLR) and the Australian National University. It is funded by the German Science Foundation (DFG) through the Priority Programme SPP 2265 "Random Geometric Systems", the University of Ulm, and the DLR. 

The conference will be held at the Reisensburg near Ulm (https://www.uni-ulm.de/einrichtungen/reisensburg/). Oral and poster sessions will feature keynote talks, invited speakers, and research presentations. We anticipate the participation of approximately 70 of the field's leading scientists, including you. 

Information about venue, abstract submission, registration and conference fees will be announced in January 2026. 
Please keep an eye on our website.