Deep neural networks, and in particular transformer architectures, have become a cornerstone of modern machine learning, driving unprecedented advances in Artificial Intelligence (AI). Yet the mechanisms by which these models learn and process information through their depth remain poorly understood from a mathematical standpoint. This workshop aims to provide an interface for researchers in machine […]

More information will be shared in autumn 2026. Mini-courses by: Eva Miranda (Universitat Politècnica de Catalunya, ICREA Academia): contact geometry and fluid mechanics Ingo Runkel (University of Hamburg): TQFTs with defects Yilin Wang (ETH Zurich): 3d hyperbolic geometry and random curves Place: Maison des Congrès, Les Diablerets, Switzerland The 2027 Winter School in Mathematical Physics is […]

Complex networks naturally arise in contexts as diverse as data science, ecology, engineering, and sociology. They concern a significant portion of the scientific community and society, especially when modeling various aspects of reality. From a mathematical standpoint, complex networks intersect graph theory, topology, and geometry. In recent decades, innovative techniques from these mathematical fields have […]

Originating in classical mechanics, Hamiltonian geometry is currently an active and flourishing area of symplectic geometry with many connections to other fields, both within and outside mathematics. Loosely speaking, the main objects of study are spaces on which the most basic measurement that can be made is area, with symmetries that have a conserved quantity. […]

Scattering amplitudes in physics, which predict particle interactions, are calculated by evaluating complicated multidimensional “Feynman integrals”. Expressing Feynman integrals in terms of known special functions is deeply rewarding: on the one hand, it gives access to alternative representations of the integrals, which may dramatically accelerate numerical computations. On the other hand, algebraic and differential relations […]

The SwissMAP Annual General Meeting will take place from August 30 to September 2, 2026 at the SwissMAP Research Station (Les Diablerets). The programme features : Confirmed speakers include: Matthias Christandl (University of Copenhagen) Victor Gorbenko (EPFL) Martin Hairer (EPFL) Marcos Mariño (UNIGE) João Penedones (EPFL) Marcello Porta (SISSA) Chiara Saffirio (UniBasel) Maryna Viazovska (EPFL) […]

Many moduli spaces of interest in mathematics and theoretical physics carry rich geometric structures, including symplectic or Poisson structures and their relatives. Quantization of these moduli spaces links to several different areas of mathematics and theoretical physics, giving rise to far-reaching implications. The conference will showcase recent advances in the following areas, and provide opportunities […]

Quantum key distribution (QKD) offers unconditional security based (in principle) solely on the laws of physics. This level of security is unprecedented – classical cryptography always relies on assumptions about the computational hardness of certain problems, leaving open the possibility that encryption might be broken. This research field is currently in an exciting transition phase, […]

The Mathematical Physics Summer School for masters students is organized by SwissMAP and offers introductory lectures to different aspects of mathematical physics.

This conference aims to bring together physicists and mathematicians interested in low-dimensional examples of holographic dualities, the orbit method and their interplay via the quantization of coadjoint orbits of the Vi- rasoro group.

Euler students are 12- to 18-year-old students coming from all French speaking cantons in Switzerland. They take advanced mathematics courses on the EPFL campus on Wednesday afternoons, but do not have many opportunities to work together during the school year due to their diverse geographical origins. The summer camp is a unique occasion to meet […]

Conformal field theories (CFTs) are a powerful tool for describing critical phenomena. While CFTs are highly constrained by symmetry, only in very special cases are exact solutions available. A relatively new tool for describing many-body systems near criticality is the large-charge expansion. This tool allows a systematic computation of the CFT data that is necessary […]

The workshop will discuss latest developments of the interactions between (geometric) group theory and theory of operator algebras. This is a lively topic which has long been known to be of importance for the study of dynamical systems and ergodic theory, but in recent years has also exhibited unexpected connections for example to quantum information […]

Shuffle algebras have long provided important tools in the study of quantum groups. We plan to cover an exciting development of this construction, in which Feigin-Odesskii type shuffle algebras are used to study quantum loop groups, which has already had numerous applications to the theory of integrable systems, geometric representation theory, Macdonald polynomial theory, algebraic […]

The moduli space of metric graphs MGg is a key object in geometric group theory, algebraic geometry and quantum field theory. In particular, the cohomology of various graph complexes may be understood geometrically as sheaf cohomology on MGg. Recent advances have furthermore uncovered deep connections between MGg and objects of central interest in neighboring areas […]

In recent years, optimal transport (OT) theory has emerged as a immensely popular intersection of mathematics, statistics, and computer science, overlapping with topics including partial differential equations (PDEs), optimization, image processing, inverse problems, sampling and machine learning. The deep theoretical foundations of optimal transport have led to its critical role in addressing both classical and […]

Alps III: Exploring phases of matter through symmetries and tensor networks The ALPS (Advanced Lectures in Physics in Switzerland) is a series of junior schools in theoretical physics taking place in the Swiss Mountains. Its principal aim is to lay the foundation for fruitful collaborations between young researchers with a variety of backgrounds. It is […]

The Junior Euler Society (JES) is the outreach program of the Department of Mathematics at the University of Zurich (UZH). The aim of JES is to provide interested young people of all school levels the opportunity to deal with mathematics beyond the school program.

This conference will bring together researchers studying moduli spaces of curves and abelian varieties from different perspectives: enumerative, combinatorial, and geometric, and number theoretic.

Go to the GEM website: Les Marmottes