This summer school aims to bring together mathematicians and network scientists to foster the exchange of ideas between these two fields. During the school several minicourses will be given by distinguished researchers in graph theory and network science for students from both fields, who are interested in multidisciplinary approaches to networks.

Discrete structures and their limits: an active area of research that connects discrete mathematics with ergodic theory, stochastic processes, spectral theory, measured group theory and various branches of analysis and topology.

The summer school is aimed to give an introduction to the theory and the most recent techniques and topics of additive combinatorics dedicated to graduate students and young researchers.

The Simons collaboration on “New structures in low-dimensional topology” organises a summer school, consisting of 6 short lecture series on topics and techniques in low-dimensional topology.

Eleonora di Nezza (Paris, Sorbonne) and Siarhei Finski (Paris, CNRS) will give introductory talks on Kähler geometry, highlighting recent advances, to a group of non-experts, primarily composed of students and postdocs.

Hans-Joachim Hein (Münster) and Daniele Angella (Firenze) will give series of talks on recent advances on singular Kähler metrics, and Hermitian geometry respectively.

Part of the thematic semester New Directions in Modern Harmonic Analysis and Applications January-June 2026) hosted by the Erdős center.

Part of the thematic semester New Directions in Modern Harmonic Analysis and Applications January-June 2026) hosted by the Erdős center.

Based on the 4 lecture series of 4 lectures each, the Summer School will highlight the enumerative and birational geometry of the moduli spaces of curves, abelian varieties and K3 surfaces, presenting modern techniques of geometric, combinatorial and tropical nature that have led to decisive progress. Part of the thematic semester Algebraic Geometry (August-December 2026) hosted by the Erdős Center.

The 4 lecture series of the School will focus on modern techniques in the classification theory of higher dimensional algebraic varieties, highlighting connections to K-stability and singularity theory. Part of the thematic semester Algebraic Geometry (August-December 2026) hosted by the Erdős Center.