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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The rigorous mathematical analysis of many-body systems in quantum mechanics has been an important subdiscipline of Mathematical Physics for many decades, and has led to numerous fruitful connections between various aspects of physics and mathematics. The goal of this workshop is to bring together the key players in this and adjacent fields, to discuss the current state-of-the-art as well as possible future directions. We will also use the occasion of the workshop to honor the achievements of Jakob Yngvason, who will celebrate his 80th birthday in 2025.

Thermodynamik, Hydrodynamik und Statistische Mechanik,    Quantenmechanik und Quantentechnologie

The International Centre for Mathematical Sciences (ICMS)

The interplay between geometry and physics has been a driving force for new developments in both mathematics and physics for a very long time. In the last two decades, higher category theory has become a fine contributor in this dialogue, providing many invaluable ideas and very useful heuristics. Organised in partnership with the Clay Mathematics Institute, this workshop aims to present the latest results in the application of (higher) geometry to theoretical physics and to foster new collaborations between mathematicians and theoretical physicists.

Isaac Newton Institute for Mathematical Sciences

von Karman Institute for Fluid Dynamics

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Thermodynamik, Hydrodynamik und Statistische Mechanik,    Kurse und Veranstaltungen für Physikstudenten

Interfaces are of interest not only in theoretical physics, such as condensed matter physics, high-energy physics, and quantum information, but also in mathematics. However, they have developed uniquely across different fields, making it challenging to grasp their full scope. Against this backdrop, this workshop aims to bring together experts from these disparate fields to share developments related to the study of interfaces, and to find new approaches and applications for interfaces from a fusion perspective.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Mathematically, the characterization of localization and delocalization is a rich and delicate problem. Many disciplines, including probability, the analysis of partial differential equations, and mathematical physics, offer tools to tackle localization questions. This workshop will convene researchers from across these fields to share new techniques, explore common questions, and initiate novel lines of research. Moreover, the workshop is designed to nurture a community of early-career researchers who are comfortable communicating and collaborating across disciplines.

Angewandte Mathematik (allgem.),    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

American Mathematical Society and Georgia Southern University-Armstrong Campus

The interaction between topology and curvature is a fundamental theme in modern mathematics. The study of scalar curvature plays an increasingly important role not only in geometry and topology, but also in general relativity and theoretical physics more generally through the theory of Dirac operators. This special session will bring together experts and young researchers who study these topics from many different points of view. The aim of this session is to share viewpoints and progress on understanding the scalar curvature and topology of manifolds, and to establish new connections among the culturally diverse groups spread worldwide, but particularly in the USA.

Email: ekanshjauhari@ufl.edu

Global Riemannian geometry, curvature restrictions, differential geometric analysis, index theory, spin geometry, algebraic topology of manifolds.

Geometrie und Topologie,    Analysis

Isaac Newton Institute for Mathematical Sciences, Cambridge

Automorphic Maass and non-holomorphic Eisenstein forms have (re)emerged recently as exciting tools in the analysis of two dimensional conformal field theories and also of the semiclassical near-singularity dynamics of black holes. These automorphic forms are naturally expressed in terms of L-functions, which brings out their deep connections to number theory. This workshop will bring together experts on automorphic L-functions with researchers interested in the novel applications of this mathematical structure to questions in fundamental physics.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Hyperbolic spaces and, in particular, a generalization called asymptotically hyperbolic spaces, have in recent decades been the focus of intense mathematical interest. They have surprising applications in the physics of string theory and are important for the study of isolated systems in the theory of general relativity. The closely related de Sitter and anti-de Sitter spaces also arise in the study of cosmology. The purpose of this workshop is to bring together established experts and emerging new talents in the field who study diverse aspects of these fascinating objects. We will discuss some of the remarkable recent developments in the geometric analysis of these spaces, including developments in inverse problems, the various meanings of mass-energy in this setting, the interaction between the mathematical developments and physics, and new ideas to extend the theory beyond the asymptotically hyperbolic setting.

Zouhaïr Mouayn, Faculty of Sciences & Technics, Béni Mellal, Morocco

The conference aims to bring together researchers working at the interface of mathematics and physics to share recent advances, foster collaboration, and promote interdisciplinary dialogue. The program will include plenary lectures, short contributed talks, and poster sessions, with emphasis on topics such as: Harmonic analysis, polyanalytic and Clifford analysis Representation theory, quantization, and coherent states Time-frequency analysis, wavelets, and special functions Geometric mechanics, spectral theory, and quantum systems Hopf algebras, quantum groups, and topological methods.

Zouhair Mouayn;     Email: mouayn@gmail.com

Harmonic analysis, polyanalytic and Clifford analysis Representation theory, quantization, and coherent states Time-frequency analysis, wavelets, and special functions Geometric mechanics, spectral theory, and quantum systems Hopf algebras, quantum groups, and topological methods.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Baryonic matter in the Universe is almost exclusively (99,9 \%) in the plasma state, which is one of the four common states (with solid, liquid and gas), having the specificity of being strongly affected by electrical and magnetic fields. Already three generations of plasma physicists have worked at understanding more precisely the dynamics of plasmas, unravelling their secrets and bringing order to what seems by nature chaotic. Still, the plasmas continue to preserve a part of their mystery. First, our project aims to gain more insight into the microscopic reactions induced by the presence of radiation. Secondly, it is to mathematically elucidate how inertial effects coming from the mixing of charged species (like electrons and ions) is able to stabilize the plasma dynamics at very small scales. Incidently, this would bring innovative insight about some specificities of (magnetohydrodynamics).

Angewandte Mathematik (allgem.),    Zahlentheorie, Arithmetik

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The goal of this workshop is to bring together experts from mathematics, quantum field theory, string theory and cosmology to make progress on an ambitious research program to obtain emergent space-time and early universe cosmology from a well defined quantum mechanical matrix model. The aim of the research program is nothing less than to develop a unified quantum theory of space, time and matter based on a well-defined mathematical foundation.

Astronomie, Astrophysik und Kosmologie,    Teilchenphysik und Felder

Max Planck Institute for the Physics of Complex Systems, Dresden

Quantenmaterialien, Tieftemperaturphysik,    Quantenmechanik und Quantentechnologie

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Particle physics, astrophysics, and cosmology cover the study of the universe from its smallest to largest scales. We study them in order to understand both the fundamental interactions that govern the universe and its large-scale structure and history. Advanced detectors at collider facilities that accelerate particles to near the speed of light and telescopes that monitor the night's sky looking back to the time just after the Big Bang are used to collect vast amounts of data in complicated datasets. Analyzing these data requires modern tools, making use of advanced machine learning and high performance computing infrastructure. This workshop brings together physicists, statisticians, and machine learning experts in order to make the most use of this data and learn as much from it as possible by discussing how to address the complexities of these large and detailed datasets, searching for 1 in a trillion events, and understanding correlations between thousands of quantities.

Neuronale Netze und Künstliche Intelligenz, Maschinelles Lernen,    Statistik, Spieltheorie

International Institute of Physics (IIP)

The School-Workshop will represent Quantum Rings as a special class of modern high-tech materials structures at the nanoscale. We will deal with their formation by molecular beam epitaxy and droplet epitaxy of semiconductors, their topology-driven electronic, optical, and magnetic properties. Highly complex theoretical models will be discussed which have been developed to adequately explain the specific features of Quantum Rings. We will specially emphasize development of low-cost high-performance electronic, spintronic, magnetic, optoelectronic and information processing devices based on various doubly-connected structures.

The International Centre for Mathematical Sciences (ICMS)

The UK has always been at the forefront of, and has a reputation in, integrable systems research. It is an area that glues together topics in mathematical physics, analysis, algebra, geometry, applied mathematics and probability. Research in non-commutative integrable hierarchies has had a recent resurgence – they have many applications, including (eg.) in non-commutative nonlinear optics, and have strong links to string theory. The main themes outlined align with, and will be led, by recent research by the invitees. We propose a different than usual workshop format, along the lines of those held at Oberwolfach and the American Institute of Mathematics. Nominated experts give feeder presentations in their areas on successive mornings, outlining the current frontier of research and open problems. In the afternoons, these are followed up by discussion sessions and working groups who report back to the workshop as a whole at the end of the day. The workshop structure develops dynamically throughout the week. The organisers and the Scientific Advisory Group meet daily to set the agenda ahead, using feedback from the end-of-day reports and participants.

(i) Regularity and solutions; (ii) Non-commutativity, both in terms of non-Abelian (eg.\/ matrix) versions of classical integrable systems and in terms of non-commutative independent variables; and (iii) The connections of such systems to random matrix theory.

Simons Collaboration on Global Categorical Symmetries

Kurse und Veranstaltungen für Physikstudenten,    Teilchenphysik und Felder

The International Centre for Mathematical Sciences (ICMS)

The String Math conference has been running annually since 2011, bringing together mathematicians and physicists who work at the interface between string theory, quantum field theory, and mathematics.

LHC physics, dark matter and dark energy, string theory, neutrino physics, precision measurements, non-accelerator probes of new physics, inflation, gravitational waves, cosmic tensions, and modified gravity.

Astronomie, Astrophysik und Kosmologie,    Teilchenphysik und Felder

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

A team of three leading experts in algebraic and quantum geometry will convene at the Banff International Research Station (BIRS) to tackle a longstanding conjecture on the classification of vector bundles on the quantum projective line. Their collaboration aims to bridge the gap between classical algebraic geometry and emerging structures in quantum geometry, advancing our understanding of noncommutative spaces. The classification of vector bundles has been a cornerstone of modern algebraic geometry, with the celebrated Grothendieck’s Theorem providing a complete classification of vector bundles over the classical projective line. However, the quantum analog remains an open problem, representing a major challenge in the study of noncommutative algebraic geometry. A positive solution to the conjecture under investigation would significantly advance the field, providing new insights into the structure of quantum projective spaces and their applications in both mathematics and theoretical physics.

Geometrie und Topologie,    Quantenmechanik und Quantentechnologie

Institute for Theoretical Physics, Johannes Gutenberg University

One of the most important tools to quantitatively describe families of two-dimensional conformal field theories are gauged linear sigma models (GLSMs). As such they offer a powerful and indispensable method to study string compactifications and their phase structures from a worldsheet perspective. Over the years, the scope of GLSMs has developed much further, namely not only as a methodology to study string theories, but also to address fundamental questions of (supersymmetric) quantum field theories, in particular in two, three and four dimensions. That is to say, GLSMs have provided key insights into numerous aspects of mathematical physics, offering a bridge to various fields in mathematics such as enumerative and algebraic geometry and category theory. The aim of this workshop is to bring together experts from physics and mathematics in order to address topical research questions and to identify new applications for GLSMs.

Teilchenphysik und Felder,    Astronomie, Astrophysik und Kosmologie

Isaac Newton Institute for Mathematical Sciences, Cambridge

During the 20th century, interactions between geometers and theoretical physicists were revolutionary in both areas, leading to such unexpected developments as mirror symmetry and the impact of topological field theory on invariants of 4-manifolds. Another momentum is now developing around new connections between number theory and physics, mainly but not exclusively through the theory of automorphic forms. We have reached a time when contacts between number theorists and physicists have the potential for another revolution.

Zahlentheorie, Arithmetik,    Geometrie und Topologie

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

This event will facilitate a broad overview of the state of the art in quantum invariants, including fast computations, universal invariants and their relationships to famous equations arising from quantum physics and algebra, and the interplay between topological and geometric properties of spaces. The participant list features many of the leading world experts in this area, and provides opportunities for young researchers to become involved through an early career showcase, problem sessions, mentoring, and informal interactions.

ICTP South American Institute for Fundamental Research

Kurse und Veranstaltungen für Physikstudenten,    Quantenmechanik und Quantentechnologie

ICTP South American Institute for Fundamental Research

The Modave Summer School in Mathematical Physics is a yearly summer school organised by and aimed at Ph.D. students. The school provides blackboard lectures given by young researchers. The lectures cover core subjects that contribute to the backbone knowledge of the participants working in the field of theoretical and mathematical physics, with a special focus on topics in General Relativity, Quantum Field Theory and String Theory. This year marks the 22nd edition of the school! As for the previous years, the ULB, VUB, KUL, UGENT and UMONS will join their forces to propose a unique scientific and human experience in the heart of the Belgian countryside.

Kurse und Veranstaltungen für Studenten der Mathematik,    Kurse und Veranstaltungen für Physikstudenten

Institute for Computational and Experimental Research in Mathematics

Mathematics is crucial in developing the models employed in physics, and observations from physics can catalyze new branches of mathematics. Mirror symmetry is a classic example of this two-way interaction. In the context of K3 surfaces, mirror symmetry is a relation between families whose Picard lattices are complementary in the even unimodular lattice of signature (2,18). Not every family of K3 surfaces has a mirror, but this construction has been very useful in studying K3 surfaces that are toric hypersurfaces, for example. Physicists have studied K3 surfaces, elliptic fibrations, and mirror symmetry on them in connection with string theory; this provides a concrete setting that can lead to the discovery of new properties of Calabi-Yau threefolds. The study of K3 surfaces in families naturally leads to Calabi-Yau threefolds and manifolds of higher dimension. In recent years, several connections have been established between these varieties, Feynman integrals, and Φ4 theory.

The aim of this workshop is to bring together experts from different areas of mathematics and physics in order to foster a fruitful exchange of knowledge and achieve new insights.

Tel.: [4018635030];     Email: info@icerm.brown.edu

MDPI

The 1st International Conference on Modern Mathematical Physics (ICMMP 2026), to be held from 30 October to 3 November 2026 in Hangzhou, China, will bring together leading researchers and experts from around the world to explore the latest advances in modern mathematical physics. The conference program covers five major themes—Quantum Field Theory, String and Brane Theory, and Gravitation; Integrable Models in Condensed Matter Physics and Statistical Physics; Quantum Information and Quantum Metrology; Atomic, Molecular, and Optical Physics; and Nonlinear Dynamics and Computational Physics—offering a comprehensive platform for presenting cutting-edge research across these areas. With an outstanding lineup of speakers and a focus on fostering dialogue, collaboration, and scientific exchange, ICMMP 2026 aims to be a landmark event that pushes forward the frontiers of mathematical physics and strengthens global connections within the research community.

Event Secretariat;     Email: icmmp2026@mdpi.com

Quantum Field Theory, String Theory and Gravitation, Condensed Matter Physics, Statistical Physics, Quantum Information, Atomic Physics, Computational Physics, Nonlinear Dynamics